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22 pages, 8285 KiB  
Article
Hole-Free Symmetric Complementary Sparse Array Design for High-Precision DOA Estimation
by He Ma, Libao Liu, Zhihong Gan, Yang Gao and Xingpeng Mao
Remote Sens. 2024, 16(24), 4711; https://doi.org/10.3390/rs16244711 - 17 Dec 2024
Viewed by 184
Abstract
Direction of arrival (DOA) estimation plays a critical role in remote sensing, where it aids in identifying and tracking multiple targets across complex environments, from atmospheric monitoring to resource mapping. Leveraging difference covariance array (DCA) for DOA estimation has become prevalent, particularly with [...] Read more.
Direction of arrival (DOA) estimation plays a critical role in remote sensing, where it aids in identifying and tracking multiple targets across complex environments, from atmospheric monitoring to resource mapping. Leveraging difference covariance array (DCA) for DOA estimation has become prevalent, particularly with sparse arrays capable of resolving more targets than the number of sensors. This paper proposes a new hole-free sparse array configuration for remote sensing applications to achieve improved DOA estimation performance using DCA. By symmetrically placing a minimum redundancy array (MRA) and its complementary MRA on both sides of a sparse uniform linear array (ULA), this configuration maximizes degrees of freedom (DOFs) and minimizes mutual coupling effects. Expressions for calculating sensor positions and optimal element allocation methods to maximize DOFs are derived. Simulation experiments in various scenarios have shown the advantages of the proposed array in DOA estimation, including a strong ability to estimate multi-targets, high angular resolution, low estimation error, and strong robustness to mutual coupling. Full article
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<p>Schematic diagram of the SC_MRA.</p>
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<p>An illustration of a 14-sensor NA configuration containing a 7-sensor dense ULA and a 7-sensor sparse ULA.</p>
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<p>An illustration of a 14-sensor NSC_MRA configuration containing a 4-sensor MRA, a 3-sensor CMRA, and a sparse 7-sensor ULA.</p>
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<p>An illustration of a 20-sensor NSC_MRA configuration with optimal DOFs under the constraint of the total number of array sensors.</p>
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<p>The array configurations and non-negative covariance array weight functions of 15-sensor arrays. (<b>a</b>) NA; (<b>b</b>) ENA; (<b>c</b>) OSENA; (<b>d</b>) ANA; (<b>e</b>) INA; and (<b>f</b>) the proposed method (NSC_MRA).</p>
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<p>The magnitudes of the mutual coupling matrices of 15-sensor arrays and their respective coupling leakage. (<b>a</b>) NA; (<b>b</b>) ENA; (<b>c</b>) OSENA; (<b>d</b>) ANA; (<b>e</b>) INA; and (<b>f</b>) the proposed method (NSC_MRA).</p>
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<p>Spectrum of SS-MUSIC for 15-sensor arrays without mutual coupling when <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>51</mn> </mrow> </semantics></math> sources are located at <math display="inline"><semantics> <mrow> <mfenced open="[" close="]" separators="|"> <mrow> <mo>−</mo> <mn>60</mn> <mo>°</mo> <mo>:</mo> <mn>2.4</mn> <mo>°</mo> <mo>:</mo> <mn>60</mn> <mo>°</mo> </mrow> </mfenced> </mrow> </semantics></math>, SNR <math display="inline"><semantics> <mrow> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math> dB, and <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math>. (<b>a</b>) NA; (<b>b</b>) ENA; (<b>c</b>) OSENA; (<b>d</b>) ANA; (<b>e</b>) INA; and (<b>f</b>) the proposed method (NSC_MRA).</p>
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<p>Spectrum of SS-MUSIC for 15-sensor arrays without mutual coupling when <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math> targets are located at <math display="inline"><semantics> <mrow> <mo>[</mo> <mo>−</mo> <mn>0.3</mn> <mo>°</mo> <mo>,</mo> <mn>0.3</mn> <mo>°</mo> <mo>]</mo> </mrow> </semantics></math>, SNR = 0 dB, and <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math>.</p>
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<p>Probability of correct detections vs. SNR for different array configurations without mutual coupling when <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math> targets are located at <math display="inline"><semantics> <mrow> <mo>[</mo> <mo>−</mo> <mn>0.3</mn> <mo>°</mo> <mo>,</mo> <mn>0.3</mn> <mo>°</mo> <mo>]</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>15</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math>. The acceptable angle error is set to 0.05°.</p>
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<p>RMSE (in degrees) curves vs. SNR for different arrays in <a href="#remotesensing-16-04711-t002" class="html-table">Table 2</a> without mutual coupling when <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>21</mn> </mrow> </semantics></math> targets are located at <math display="inline"><semantics> <mrow> <mfenced open="[" close="]" separators="|"> <mrow> <mo>−</mo> <mn>60</mn> <mo>°</mo> <mo>:</mo> <mn>6</mn> <mo>°</mo> <mo>:</mo> <mn>60</mn> <mo>°</mo> </mrow> </mfenced> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>15</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math>.</p>
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<p>RMSE (in degrees) curves vs. the number of snapshots for different arrays in <a href="#remotesensing-16-04711-t002" class="html-table">Table 2</a> without mutual coupling when <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>21</mn> </mrow> </semantics></math> targets are located at <math display="inline"><semantics> <mrow> <mfenced open="[" close="]" separators="|"> <mrow> <mo>−</mo> <mn>60</mn> <mo>°</mo> <mo>:</mo> <mn>6</mn> <mo>°</mo> <mo>:</mo> <mn>60</mn> <mo>°</mo> </mrow> </mfenced> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>15</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mi mathvariant="normal">S</mi> <mi mathvariant="normal">N</mi> <mi mathvariant="normal">R</mi> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math> dB.</p>
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<p>RMSE (in degrees) curves vs. SNR for different array configurations without mutual coupling when <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>21</mn> </mrow> </semantics></math> targets are located at <math display="inline"><semantics> <mrow> <mo>[</mo> <mo>−</mo> <mn>60</mn> <mo>°</mo> <mo>:</mo> <mn>6</mn> <mo>°</mo> <mo>:</mo> <mn>60</mn> <mo>°</mo> <mo>]</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>15</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math>.</p>
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<p>Probability of correct detections vs. SNR for different array configurations without mutual coupling when <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>21</mn> </mrow> </semantics></math> targets are located at <math display="inline"><semantics> <mrow> <mo>[</mo> <mo>−</mo> <mn>60</mn> <mo>°</mo> <mo>:</mo> <mn>6</mn> <mo>°</mo> <mo>:</mo> <mn>60</mn> <mo>°</mo> <mo>]</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>15</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math>. The acceptable angle error is set to 0.15°.</p>
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<p>RMSE (in degrees) curves vs. the number of snapshots for different array configurations without mutual coupling when K = 21 targets are located at <math display="inline"><semantics> <mrow> <mo>[</mo> <mo>−</mo> <mn>60</mn> <mo>°</mo> <mo>:</mo> <mn>6</mn> <mo>°</mo> <mo>:</mo> <mn>60</mn> <mo>°</mo> <mo>]</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>15</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi mathvariant="normal">S</mi> <mi mathvariant="normal">N</mi> <mi mathvariant="normal">R</mi> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math> dB, and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>c</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math>.</p>
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<p>RMSE (in degrees) curves vs. <math display="inline"><semantics> <mrow> <mi>N</mi> </mrow> </semantics></math> for different array configurations without mutual coupling when <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>21</mn> </mrow> </semantics></math> targets are located at <math display="inline"><semantics> <mrow> <mo>[</mo> <mo>−</mo> <mn>60</mn> <mo>°</mo> <mo>:</mo> <mn>6</mn> <mo>°</mo> <mo>:</mo> <mn>60</mn> <mo>°</mo> <mo>]</mo> </mrow> </semantics></math>, SNR <math display="inline"><semantics> <mrow> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math> dB, and <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math>.</p>
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<p>RMSE (in degrees) curves vs. SNR for different array configurations in the presence of mutual coupling. <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>21</mn> </mrow> </semantics></math> targets are located at <math display="inline"><semantics> <mrow> <mo>[</mo> <mo>−</mo> <mn>60</mn> <mo>°</mo> <mo>:</mo> <mn>6</mn> <mo>°</mo> <mo>:</mo> <mn>60</mn> <mo>°</mo> <mo>]</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>15</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msup> <mrow> <msub> <mi>c</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>0.2</mn> <mi>e</mi> </mrow> <mrow> <mi>j</mi> <mi>π</mi> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>c</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> <mo>=</mo> <msub> <mrow> <mi>c</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> <mo>/</mo> <mi>l</mi> </mrow> </semantics></math>.</p>
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<p>RMSE (in degrees) curves vs. the number of snapshots for different array configurations in the presence of mutual coupling. <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>21</mn> </mrow> </semantics></math> targets are located at <math display="inline"><semantics> <mrow> <mo>[</mo> <mo>−</mo> <mn>60</mn> <mo>°</mo> <mo>:</mo> <mn>6</mn> <mo>°</mo> <mo>:</mo> <mn>60</mn> <mo>°</mo> <mo>]</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>15</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi mathvariant="normal">S</mi> <mi mathvariant="normal">N</mi> <mi mathvariant="normal">R</mi> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math> dB, <math display="inline"><semantics> <mrow> <msup> <mrow> <msub> <mi>c</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>0.2</mn> <mi>e</mi> </mrow> <mrow> <mi>j</mi> <mi>π</mi> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>c</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> <mo>=</mo> <msub> <mrow> <mi>c</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> <mo>/</mo> <mi>l</mi> </mrow> </semantics></math>.</p>
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<p>RMSE (in degrees) curves vs. <math display="inline"><semantics> <mrow> <mi>a</mi> </mrow> </semantics></math> for different array configurations when <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>21</mn> </mrow> </semantics></math> targets are located at <math display="inline"><semantics> <mrow> <mo>[</mo> <mo>−</mo> <mn>60</mn> <mo>°</mo> <mo>:</mo> <mn>6</mn> <mo>°</mo> <mo>:</mo> <mn>60</mn> <mo>°</mo> <mo>]</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>15</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msup> <mrow> <msub> <mi>c</mi> <mn>1</mn> </msub> <mo>=</mo> <mi>a</mi> <mo>×</mo> <mn>0.2</mn> <mi>e</mi> </mrow> <mrow> <mi>j</mi> <mi>π</mi> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>c</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> <mo>=</mo> <msub> <mrow> <mi>c</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> <mo>/</mo> <mi>l</mi> </mrow> </semantics></math>.</p>
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17 pages, 3759 KiB  
Article
Robust Control Strategy of Acoustic Micro Robots Based on Fuzzy System
by Junjie Dong and Xingguang Duan
Micromachines 2024, 15(11), 1403; https://doi.org/10.3390/mi15111403 - 20 Nov 2024
Viewed by 574
Abstract
This study presents a robust control strategy for acoustic micro robots utilizing a novel interval type-three fuzzy system. Micro robots driven by acoustic forces face significant challenges in fluid environments due to complex nonlinearities, uncertainties, and disturbances. To address these issues, we propose [...] Read more.
This study presents a robust control strategy for acoustic micro robots utilizing a novel interval type-three fuzzy system. Micro robots driven by acoustic forces face significant challenges in fluid environments due to complex nonlinearities, uncertainties, and disturbances. To address these issues, we propose a control framework that combines fuzzy logic and sliding mode control to enhance the stability and trajectory tracking performance of micro robots under varying fluid conditions. The interval type-3 fuzzy logic system provides increased robustness by better handling external disturbances and uncertainties compared to the robustness of the traditional methods. The experimental results from one-dimensional, two-dimensional, and three-dimensional fluid cavities demonstrate that the proposed control method significantly improves tracking accuracy, reducing the errors in complex environments. This control framework offers promising potential for the precise manipulation of micro robots in biomedical applications and other microfluidic systems. The minimum trajectory tracking control mean square error is 12.82 μm. Full article
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<p>Micro–nano robot structure.</p>
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<p>Experimental equipment.</p>
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<p>Experimental control logic.</p>
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<p>Robot one-dimensional motion.</p>
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<p>One-dimensional motion error of micro–nano robot.</p>
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<p>Robot two-dimensional motion.</p>
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<p>Two-dimensional motion error of micro–nano robot.</p>
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<p>Robot three-dimensional motion.</p>
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<p>Three-dimensional motion error of micro–nano robot.</p>
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<p>Overall experimental equipment diagram.</p>
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26 pages, 11186 KiB  
Article
Dynamic Response Control Strategy for Parallel Hybrid Ships Based on PMP-HMPC
by Enzhe Song, Zhijiang Liu, Chong Yao, Xiaojun Sun, Xuchang Yang and Minghui Bao
Processes 2024, 12(11), 2564; https://doi.org/10.3390/pr12112564 - 16 Nov 2024
Viewed by 455
Abstract
With increasingly stringent emission regulations, various clean fuel engines, electric propulsion systems, and renewable energy sources have been demonstratively applied in marine power systems. The development of control strategies that can effectively and efficiently coordinate the operation of multiple energy sources has become [...] Read more.
With increasingly stringent emission regulations, various clean fuel engines, electric propulsion systems, and renewable energy sources have been demonstratively applied in marine power systems. The development of control strategies that can effectively and efficiently coordinate the operation of multiple energy sources has become a key research focus. This study uses a modular modeling method to establish a system simulation model for a parallel hybrid ship with a natural gas engine (NGE) as the prime mover, and designs an energy management control strategy that can run in real time. The strategy is based on Pontryagin’s minimum principle (PMP) for power allocation, and is supplemented by a hybrid model predictive control (HMPC) method for speed-tracking control of the power system. Finally, the designed strategy is evaluated. Through simulation and hardware-in-the-loop (HIL) experimental validation, results compared with the Rule-based strategy indicate that under the given conditions, the SOC final value deviation from the initial value is reduced from 11.5% (in the reference strategy) to 0.39%. The system speed error integral is significantly lower at 39.06, compared to 2264.67 in the reference strategy. While gas consumption increased slightly by 2.4%, emissions were reduced by 3.2%. Full article
(This article belongs to the Section Energy Systems)
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<p>Hybrid power testing apparatus.</p>
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<p>Hybrid power ship topology.</p>
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<p>Motor characteristics.</p>
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<p>Loading Conditions.</p>
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<p>Energy Management Strategy Framework.</p>
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<p>NGE Friction Torque and Thermal Efficiency Curves.</p>
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<p>(<b>a</b>) Linearization of the NGE External Characteristic; (<b>b</b>) Linearization of the PMSM External Characteristic.</p>
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<p>(<b>a</b>) Gas Consumption Rate Linearization; (<b>b</b>) NGE Emissions Linearization.</p>
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<p>Results of Battery Power Linearization.</p>
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<p>(<b>a</b>) Speed Tracking of the Power System; (<b>b</b>) Torque Distribution of the NGE; (<b>c</b>) Torque Distribution of the PMSM; (<b>d</b>) SOC Variation.</p>
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<p>(<b>a</b>) Speed Tracking of the Power System; (<b>b</b>) Torque Distribution of the NGE; (<b>c</b>) Torque Distribution of the PMSM; (<b>d</b>) SOC Variation.</p>
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<p>Results of Speed Error Integration.</p>
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<p>Variation of Gas Consumption Under Three Strategies.</p>
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<p>Variation of Emissions Under Three Strategies.</p>
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<p>Radar Chart of Three Control Strategies.</p>
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<p>HIL test system.</p>
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<p>(<b>a</b>) Torque distribution; (<b>b</b>) Speed Variation; (<b>c</b>) SOC.</p>
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19 pages, 9086 KiB  
Article
Dynamic Simulation Model of Miniature Tracked Forestry Tractor for Overturning and Rollover Safety Evaluation
by Yun-Jeong Yang, Moon-Kyeong Jang and Ju-Seok Nam
Agriculture 2024, 14(11), 1991; https://doi.org/10.3390/agriculture14111991 - 6 Nov 2024
Viewed by 524
Abstract
This study proposes a method to construct a dynamic simulation model to implement the lateral overturning and backward rollover characteristics of an actual tractor. Based on theoretical analysis, factors affecting these characteristics are identified, which include tractor weight, track width, wheelbase, location of [...] Read more.
This study proposes a method to construct a dynamic simulation model to implement the lateral overturning and backward rollover characteristics of an actual tractor. Based on theoretical analysis, factors affecting these characteristics are identified, which include tractor weight, track width, wheelbase, location of mass center, weight distribution, heights of front and rear axles, and geometric shapes. The location of the mass center of the actual tractor is measured based on the standard test procedure set by the International Organization for Standardization, and the remaining influencing factors are derived through measurements. A three-dimensional (3D) model of the tractor is constructed to reflect all these factors. Additionally, a simulation model utilizing this 3D model is developed using a commercial dynamic simulation software program. The ability of the model to simulate the overturning and rollover characteristics of the actual tractor is verified by comparing the static sidelong falling angle and minimum turning radius with those of the actual tractor. The errors between the characteristics of the actual tractor and those of the 3D model and dynamic simulations are shown to be less than 5%, thus indicating that the proposed method can effectively simulate the overturning and rollover characteristics of the actual tractor. Full article
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<p>Diagram for lateral overturning analysis under stationary condition: (<b>a</b>) simplification of tractor model; (<b>b</b>) geometric parameters of tractor model.</p>
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<p>Diagram for lateral overturning analysis under constant-speed turning: (<b>a</b>) isometric view; (<b>b</b>) top view.</p>
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<p>Diagram for backward rollover analysis.</p>
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<p>Photograph of miniature tracked forestry tractor.</p>
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<p>Diagram to determine horizontal location of mass center.</p>
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<p>Diagram to determine vertical location of mass center: (<b>a</b>) lifting of front end; (<b>b</b>) lifting of rear end; (<b>c</b>) intersection of two vertical lines.</p>
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<p>Diagram to determine lateral location of mass center.</p>
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<p>Platform established to perform static sidelong falling angle test.</p>
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<p>Horizontal location of mass center for miniature tracked forestry tractor.</p>
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<p>Vertical location of mass center for miniature tracked forestry tractor.</p>
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<p>Lateral location of mass center for miniature tracked forestry tractor.</p>
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<p>Three-Dimensional model of miniature tracked forestry tractor: (<b>a</b>) front view; (<b>b</b>) isometric view; (<b>c</b>) bottom view; (<b>d</b>) side view.</p>
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<p>Three-Dimensional model of miniature tracked forestry tractor: (<b>a</b>) front view; (<b>b</b>) isometric view; (<b>c</b>) bottom view; (<b>d</b>) side view.</p>
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<p>Position of mass center in 3D model: (<b>a</b>) side view; (<b>b</b>) front view.</p>
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<p>Practical test and simulation of static sidelong falling angle test: (<b>a</b>) practical test; (<b>b</b>) simulation.</p>
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<p>Practical test and simulation of minimum turning radius: (<b>a</b>) practical test; (<b>b</b>) simulation.</p>
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16 pages, 8084 KiB  
Article
A Fuzzy Adaptive PID Coordination Control Strategy Based on Particle Swarm Optimization for Auxiliary Power Unit
by Hongyan Qin, Lingfeng Wang, Shilong Wang, Weitao Ruan and Fachao Jiang
Energies 2024, 17(21), 5311; https://doi.org/10.3390/en17215311 - 25 Oct 2024
Viewed by 2270
Abstract
Range extender hybrid vehicles have the advantages of better dynamics and longer driving range while reducing pollution and fuel consumption. This work focuses on the control strategy of an Auxiliary Power Unit (APU) operating in power generation mode for a range-extender mixer truck. [...] Read more.
Range extender hybrid vehicles have the advantages of better dynamics and longer driving range while reducing pollution and fuel consumption. This work focuses on the control strategy of an Auxiliary Power Unit (APU) operating in power generation mode for a range-extender mixer truck. When an operating point is switched, the engine speed and generator torque of the APU will switch accordingly. In order to ensure APU fast and stable adjustment to meet the power demand of the vehicle as well as operate at the lowest fuel consumption, a fuzzy adaptive PID coordination control strategy based on particle swarm optimization (PSO) is proposed to control the APU. The optimal operating curve of APU is calculated by coupling the engine and generator first. Then, the adaptive PID algorithm is used to control the speed and torque of the APU in a dual closed loop. The PSO is used to optimize the PID control parameter. Through hardware-in-the-loop tests under different working conditions, the control strategy is verified to be effective and real-time. The results show that the proposed control strategy can coordinate the operating of engine and generator and control the APU to track target power stably and quickly under minimum fuel consumption. Compared with traditional PID control strategy, the overshoot, regulation time and steady-state error are reduced by 55.1%, 11.1% and 77.3%, respectively. Full article
(This article belongs to the Special Issue New Challenges in Railway Energy Management Systems)
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<p>Powertrain of extended-range concrete mixer truck.</p>
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<p>Architecture of the whole vehicle’s control system.</p>
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<p>Engine fuel consumption map.</p>
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<p>ISG efficiency map.</p>
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<p>APU fuel consumption characteristics map and the optimal operating curve.</p>
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<p>Dual closed-loop coordinated control strategy of APU.</p>
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<p>Schematic of fuzzy PID control algorithm.</p>
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<p>MFs of inputs and outputs.</p>
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<p>Fuzzy rule surfaces.</p>
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<p>Schematic of fuzzy PID control based on PSO.</p>
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<p>Fitness function values of speed and torque.</p>
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<p>Fuzzy adaptive PID coordination control strategy based on PSO.</p>
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<p>HIL test platform.</p>
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<p>Power response of HIL test.</p>
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<p>Target power tracking effect of three control strategies under different transitional conditions: (<b>a</b>) 45–55 kW in working condition 1; (<b>b</b>) 20–30 kW in working condition 2; (<b>c</b>) 50–60 kW in working condition 3.</p>
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20 pages, 5331 KiB  
Article
Visual Servoing for Aerial Vegetation Sampling Systems
by Zahra Samadikhoshkho and Michael G. Lipsett
Drones 2024, 8(11), 605; https://doi.org/10.3390/drones8110605 - 22 Oct 2024
Viewed by 800
Abstract
This research describes a vision-based control strategy that employs deep learning for an aerial manipulation system developed for vegetation sampling in remote, dangerous environments. Vegetation sampling in such places presents considerable technical challenges such as equipment failures and exposure to hazardous elements. Controlling [...] Read more.
This research describes a vision-based control strategy that employs deep learning for an aerial manipulation system developed for vegetation sampling in remote, dangerous environments. Vegetation sampling in such places presents considerable technical challenges such as equipment failures and exposure to hazardous elements. Controlling aerial manipulation in unstructured areas such as forests remains a significant challenge because of uncertainty, complex dynamics, and the possibility of collisions. To overcome these issues, we offer a new image-based visual servoing (IBVS) method that uses knowledge distillation to provide robust, accurate, and adaptive control of the aerial vegetation sampler. A convolutional neural network (CNN) from a previous study is used to detect the grasp point, giving critical feedback for the visual servoing process. The suggested method improves the precision of visual servoing for sampling by using a learning-based approach to grip point selection and camera calibration error handling. Simulation results indicate the system can track and sample tree branches with minimum error, demonstrating that it has the potential to improve the safety and efficiency of aerial vegetation sampling. Full article
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<p>Schematic illustration of aerial tree branch detection and feature extraction.</p>
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<p>Two-link aerial sampling system of conifer tree branches—inertial reference frame, <math display="inline"><semantics> <mrow> <msup> <mi mathvariant="script">F</mi> <mi>I</mi> </msup> <mo>:</mo> <mrow> <mo>{</mo> <msub> <mi>X</mi> <mi>I</mi> </msub> <mo>,</mo> <msub> <mi>Y</mi> <mi>I</mi> </msub> <mo>,</mo> <msub> <mi>Z</mi> <mi>I</mi> </msub> <mo>}</mo> </mrow> </mrow> </semantics></math>, and a body reference frame, <math display="inline"><semantics> <mrow> <msup> <mi mathvariant="script">F</mi> <mi>B</mi> </msup> <mo>:</mo> <mrow> <mo>{</mo> <msub> <mi>X</mi> <mi>B</mi> </msub> <mo>,</mo> <msub> <mi>Y</mi> <mi>B</mi> </msub> <mo>,</mo> <msub> <mi>Z</mi> <mi>B</mi> </msub> <mo>}</mo> </mrow> </mrow> </semantics></math>.</p>
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<p>Suggested knowledge distillation block diagram.</p>
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<p>Proposed visual servoing block diagram.</p>
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<p>Aerial vegetation sampler experimental platform.</p>
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<p>Feature trajectory—top approach.</p>
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<p>Feature Error—top approach.</p>
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<p>Gripper transnational and rotational velocities—top approach.</p>
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<p>UAV and gripper trajectory—top approach.</p>
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<p>Gripper position and position error—top approach.</p>
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<p>UAV and arm states—top approach.</p>
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<p>UAV and arms states’ derivative—top approach.</p>
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<p>Feature trajectory—down approach.</p>
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<p>Feature error—down approach.</p>
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<p>Gripper transnational and rotational velocities—down approach.</p>
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<p>UAV and gripper trajectory—down approach.</p>
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<p>Gripper position and position error—down approach.</p>
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<p>UAV and arm states—down approach.</p>
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<p>UAV and arms states’ derivative—down approach.</p>
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23 pages, 6263 KiB  
Article
Lateral-Stability-Oriented Path-Tracking Control Design for Four-Wheel Independent Drive Autonomous Vehicles with Tire Dynamic Characteristics under Extreme Conditions
by Zhencheng Yu, Rongchen Zhao and Tengfei Yuan
World Electr. Veh. J. 2024, 15(10), 465; https://doi.org/10.3390/wevj15100465 - 13 Oct 2024
Viewed by 1077
Abstract
This paper proposes a lateral-stability-oriented path-tracking controller for four-wheel independent drive (4WID) autonomous vehicles. The proposed controller aims to maintain vehicle stability under extreme conditions while minimizing lateral deviation. Firstly, a tiered control framework comprising upper-level and lower-level controllers is introduced. The upper-level [...] Read more.
This paper proposes a lateral-stability-oriented path-tracking controller for four-wheel independent drive (4WID) autonomous vehicles. The proposed controller aims to maintain vehicle stability under extreme conditions while minimizing lateral deviation. Firstly, a tiered control framework comprising upper-level and lower-level controllers is introduced. The upper-level controller is a lateral stability path-tracking controller that incorporates tire dynamic characteristics, developed using model predictive control (MPC) theory. This controller dynamically updates the tire lateral force constraints in real time to account for variations in tire dynamics under extreme conditions. Additionally, it enhances lateral stability and reduces path-tracking errors by applying additional yaw torque based on minimum tire utilization. The lower-level controllers execute the required steering angles and yaw moments through the appropriate component equipment and torque distribution. The joint simulation results from CarSim and MATLAB/Simulink show that, compared to the traditional MPC controller with unstable sideslip, this controller can maintain vehicle lateral stability under extreme conditions. Compared to the MPC controller, which only considers lateral force constraints, this controller can significantly reduce lateral tracking errors, with an average yaw rate reduction of 31.62% and an average sideslip angle reduction of 40.21%. Full article
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<p>The proposed path-tracking control system utilizes a hierarchical control architecture.</p>
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<p>Seven-degree vehicle dynamics model.</p>
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<p>A simplified vehicle model with two degrees of freedom.</p>
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<p>Co-simulation block diagram.</p>
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<p>Comparison results: (<b>a</b>) global path; (<b>b</b>) front wheel angle.</p>
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<p>Comparison results: (<b>a</b>) lateral error; (<b>b</b>) yaw rate; (<b>c</b>) sideslip angle.</p>
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<p>Control outputs: (<b>a</b>) additional yaw moment; (<b>b</b>) wheel torque of controller C.</p>
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<p>Comparison results: (<b>a</b>) Global path; (<b>b</b>) Front wheel angle.</p>
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<p>Comparison results: (<b>a</b>) lateral error; (<b>b</b>) yaw rate; (<b>c</b>) sideslip angle.</p>
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<p>Control outputs: (<b>a</b>) additional yaw moment; (<b>b</b>) wheel torque of controller C.</p>
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<p>Comparison results of simulation scenario 3: (<b>a</b>) global path; (<b>b</b>) lateral error; (<b>c</b>) front wheel angle; (<b>d</b>) sideslip angle.</p>
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<p>Comparison results of simulation scenario 4: (<b>a</b>) global path; (<b>b</b>) lateral error; (<b>c</b>) front wheel angle; (<b>d</b>) sideslip angle.</p>
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<p>Controller calculation time: (<b>a</b>) scenario 1; (<b>b</b>) scenario 2.</p>
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28 pages, 1823 KiB  
Article
Non-Commodity Agricultural Price Hedging with Minimum Tracking Error Portfolios: The Case of Mexican Hass Avocado
by Oscar V. De la Torre-Torres, María de la Cruz del Río-Rama and Álvarez-García José
Agriculture 2024, 14(10), 1692; https://doi.org/10.3390/agriculture14101692 - 27 Sep 2024
Viewed by 1096
Abstract
The present paper tests the use of an agricultural futures minimum tracking error portfolio to replicate the price of the Mexican Hass avocado (a non-commodity). The motivation is that this portfolio could be used to balance the basis risk that the avocado price [...] Read more.
The present paper tests the use of an agricultural futures minimum tracking error portfolio to replicate the price of the Mexican Hass avocado (a non-commodity). The motivation is that this portfolio could be used to balance the basis risk that the avocado price hedge issuer could face. By performing a backtest of a theoretical avocado producer from January 2000 to September 2023, the results show that the avocado producer could hedge the avocado price by 94%, with the hedge offered by a theoretical financial or government institution. Also, this issuer could balance the risk of such a hedge by buying a coffee–sugar futures portfolio. The cointegrated or long-term relationship shows that using such a futures portfolio is useful for Mexican Hass avocado price hedging. This paper stands as one of the first in testing futures portfolios to offer a synthetic hedge of non-commodities through a commodities’ futures portfolio. Full article
(This article belongs to the Section Agricultural Economics, Policies and Rural Management)
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<p>Avocado’s production contribution to Mexico’s and Michoacán’s GDP.</p>
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<p>Historical values of the avocado price and the futures of interest.</p>
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<p>Historical values of the avocado price vs. the portfolios with the best hedging effectiveness.</p>
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<p>The historical investment level of the sugar–coffee simulated portfolio.</p>
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25 pages, 6794 KiB  
Article
An Autonomous Intelligent Liability Determination Method for Minor Accidents Based on Collision Detection and Large Language Models
by Junbo Chen, Shunlai Lu and Lei Zhong
Appl. Sci. 2024, 14(17), 7716; https://doi.org/10.3390/app14177716 - 1 Sep 2024
Viewed by 1485
Abstract
With the rapid increase in the number of vehicles on the road, minor traffic accidents have become more frequent, contributing significantly to traffic congestion and disruptions. Traditional methods for determining responsibility in such accidents often require human intervention, leading to delays and inefficiencies. [...] Read more.
With the rapid increase in the number of vehicles on the road, minor traffic accidents have become more frequent, contributing significantly to traffic congestion and disruptions. Traditional methods for determining responsibility in such accidents often require human intervention, leading to delays and inefficiencies. This study proposed a fully intelligent method for liability determination in minor accidents, utilizing collision detection and large language models. The approach integrated advanced vehicle recognition using the YOLOv8 algorithm coupled with a minimum mean square error filter for real-time target tracking. Additionally, an improved global optical flow estimation algorithm and support vector machines were employed to accurately detect traffic accidents. Key frames from accident scenes were extracted and analyzed using the GPT4-Vision-Preview model to determine liability. Simulation experiments demonstrated that the proposed method accurately and efficiently detected vehicle collisions, rapidly determined liability, and generated detailed accident reports. The method achieved the fully automated AI processing of minor traffic accidents without manual intervention, ensuring both objectivity and fairness. Full article
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<p>Structure of the C2f module. This diagram shows the ConvBNSiLU module handling convolution, batch normalization, and SiLU activation functions, split into three parallel ‘BottleNeck’ pathways to enhance detailed feature extraction.</p>
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<p>Flowchart of the accident liability determination process.</p>
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<p>Feature extraction process from RGB to HSV conversion and vector representation.</p>
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<p>Detailed flowchart of the autonomous accident liability determination process.</p>
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<p>Performance metrics of YOLOv8 for object detection in traffic scenarios.</p>
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<p>Representative scenarios in the UA-DETRAC dataset. A composite image demonstrating four environmental conditions—sunny, cloudy, rainy, and night—selected to highlight dataset diversity.</p>
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<p>Vehicle tracking and PSR analysis. (<b>a</b>) Tracking visualization shows a vehicle tracked over several frames with blue bounding boxes; (<b>b</b>) PSR variation over 70 frames: graph displaying PSR metric changes over time.</p>
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<p>Detailed visualization comparison of the optical flow estimations highlighting enhancements: (<b>a</b>) original Horn and Schunck algorithm results with a focus on specific flow details; (<b>b</b>) improved Horn and Schunck algorithm results showcasing enhanced flow accuracy.</p>
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<p>Hyperparameter optimization via grid-search. The heatmap displays the grid-search results for optimizing the performance of our model. Each cell represents the accuracy score achieved with different combinations of the hyperparameters <math display="inline"><semantics> <mrow> <mi>C</mi> </mrow> </semantics></math> and gamma, aiding in the selection of the optimal settings.</p>
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<p>SVM classifier performance: precision–recall curve with AP = 0.88.</p>
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<p>Key frame extraction using K-means clustering from the video sequence.</p>
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<p>PCA-reduced clustering distribution of video frames.</p>
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<p>Key frames extracted from the K-means cluster analysis.</p>
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<p>Schematic diagram of the missing frame.</p>
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<p>Schematic diagram of occluded vehicles.</p>
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17 pages, 2091 KiB  
Article
Maximum Correntropy Extended Kalman Filtering with Nonlinear Regression Technique for GPS Navigation
by Amita Biswal and Dah-Jing Jwo
Appl. Sci. 2024, 14(17), 7657; https://doi.org/10.3390/app14177657 - 29 Aug 2024
Viewed by 752
Abstract
One technique that is widely used in various fields, including nonlinear target tracking, is the extended Kalman filter (EKF). The well-known minimum mean square error (MMSE) criterion, which performs magnificently under the assumption of Gaussian noise, is the optimization criterion that is frequently [...] Read more.
One technique that is widely used in various fields, including nonlinear target tracking, is the extended Kalman filter (EKF). The well-known minimum mean square error (MMSE) criterion, which performs magnificently under the assumption of Gaussian noise, is the optimization criterion that is frequently employed in EKF. Further, if the noises are loud (or heavy-tailed), its performance can drastically suffer. To overcome the problem, this paper suggests a new technique for maximum correntropy EKF with nonlinear regression (MCCEKF-NR) by using the maximum correntropy criterion (MCC) instead of the MMSE criterion to calculate the effectiveness and vitality. The preliminary estimates of the state and covariance matrix in MCKF are provided via the state mean vector and covariance matrix propagation equations, just like in the conventional Kalman filter. In addition, a newly designed fixed-point technique is used to update the posterior estimates of each filter in a regression model. To show the practicality of the proposed strategy, we propose an effective implementation for positioning enhancement in GPS navigation and radar measurement systems. Full article
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<p>Flow diagram for the MCCEKF-NR.</p>
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<p>The test trajectory for the simulated vehicle.</p>
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<p>The skyplot for satellite location.</p>
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<p>The error for different MCCEKF with respect to different positions: (<b>a</b>) east, (<b>b</b>) north, and (<b>c</b>) altitude.</p>
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<p>The error for different MCCEKF with respect to different positions: (<b>a</b>) east, (<b>b</b>) north, and (<b>c</b>) altitude.</p>
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<p>The minimum error (ME) for different MCCEKF with respect to different positions: (<b>a</b>) east, (<b>b</b>) north, and (<b>c</b>) altitude.</p>
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<p>The mean square error (MSE) for different MCCEKF with respect to different positions: (<b>a</b>) east, (<b>b</b>) north, and (<b>c</b>) altitude.</p>
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<p>The root mean square error (RMSE) for different MCCEKF with respect to different positions: (<b>a</b>) east, (<b>b</b>) north, and (<b>c</b>) altitude.</p>
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<p>The root mean square error (RMSE) for different MCCEKF with respect to different positions: (<b>a</b>) east, (<b>b</b>) north, and (<b>c</b>) altitude.</p>
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21 pages, 14366 KiB  
Article
Acquiring the High-Precision Spectrum of Track Irregularity by Integrating Inclination in Chord Methods: Mathematics, Simulation, and a Case Study
by Pengjiao Wang, Fengqi Guo, Hong Zhang, Junhui Jin, Qiaoyun Liao and Yongfeng Yan
Mathematics 2024, 12(14), 2197; https://doi.org/10.3390/math12142197 - 12 Jul 2024
Cited by 1 | Viewed by 862
Abstract
Accurate measurement of track irregularity and the corresponding spectrum is essential for evaluating the performance of transportation systems. Chord measuring methods can achieve fine accuracy but are limited by waveform distortion and a restricted range of recoverable wavelength. To address this, this work [...] Read more.
Accurate measurement of track irregularity and the corresponding spectrum is essential for evaluating the performance of transportation systems. Chord measuring methods can achieve fine accuracy but are limited by waveform distortion and a restricted range of recoverable wavelength. To address this, this work explores the effectiveness of integrating inclination data in chord-based measurement to obtain a higher precision and more reliable spectrum. Firstly, the theoretical principles and mathematics of the proposed method are described. We demonstrate that by utilizing inclinometer sensors, the measuring reference can be maintained throughout the measurement, therefore obtaining an authentic waveform of track irregularity. Adaptive technics are employed to examine and extract cumulative components in the measured signal, which also benefits the accuracy of spectral estimation. Error analysis is then conducted by simulated sampling. Furthermore, a case study of field measurement and numerical simulation via multi-body dynamics for a monorail system is presented. The results verify the accuracy and robustness of the proposed method, showing that it provides a broader range of recoverable wavelength, minimum parametric interference, and advantages of signal authenticity. The simulation results prove the significant effects of track irregularity on the dynamic response of the monorail system, hence revealing the value of the presented methods and results. Full article
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<p>Overview of an MTTS project located in Liupanshui, China, and the typical configuration of the bogie of a monorail vehicle: (a) traveling wheels; (b) steering wheels; (c) stabilizing wheels; (d) hydraulic shock absorber; (e) air suspension; and (f) car body.</p>
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<p>(<b>a</b>) Definition of the LLI for the track beam in monorails. (<b>b</b>) Configuration of equipment and measuring process of ICM. In each segment, the inclination of the level bar and the gap between the bar and track surface are measured, respectively.</p>
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<p>Measuring principle of ICM: (<b>a</b>) definition of track irregularity <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>I</mi> <mi>r</mi> <mi>r</mi> </mrow> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> </mrow> </semantics></math> and (<b>b</b>) mathematical relationship in the measurement of each segment.</p>
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<p>Testing principle of TPOM. Note, the green line is the real elevation of track surface, <math display="inline"><semantics> <mrow> <mi>I</mi> <mi>r</mi> <mi>r</mi> <mfenced separators="|"> <mrow> <mi>x</mi> </mrow> </mfenced> </mrow> </semantics></math> is the actual value of track irregularity, while <math display="inline"><semantics> <mrow> <mi>g</mi> <mfenced separators="|"> <mrow> <mi>x</mi> </mrow> </mfenced> </mrow> </semantics></math> is the measured value, and their relationship is shown in Equations (3) and (4).</p>
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<p>Extrapolation at the ending point of segment <math display="inline"><semantics> <mrow> <mi>i</mi> </mrow> </semantics></math> using data from segments <math display="inline"><semantics> <mrow> <mi>i</mi> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </semantics></math> Note, the orange and green lines are the level bar and track surface, respectively.</p>
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<p>Process of different EMD-based methods for trend identification: decompose the original signal first and then determine the trend components based on signal characteristics. Three methods presented by Zhang et al. [<a href="#B27-mathematics-12-02197" class="html-bibr">27</a>], Lu et al. [<a href="#B28-mathematics-12-02197" class="html-bibr">28</a>], and Yang et al. [<a href="#B29-mathematics-12-02197" class="html-bibr">29</a>], respectively, are summarized. Note, HMS refers to the Hilbert marginal spectrum of each IMF.</p>
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<p>Decomposition result of an artificial signal using EMD. (<b>a</b>) Signal <math display="inline"><semantics> <mrow> <mi>Y</mi> </mrow> </semantics></math> and its components: <math display="inline"><semantics> <mrow> <mi>Y</mi> <mo>=</mo> <msub> <mrow> <mi>Y</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mrow> <mi>Y</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mo>+</mo> <msub> <mrow> <mi>Y</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Y</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mrow> <mrow> <mi mathvariant="normal">sin</mi> </mrow> <mo>⁡</mo> <mrow> <mn>10</mn> <mi>π</mi> <mi>x</mi> <mo>,</mo> <mi>x</mi> <mo>∈</mo> <mfenced open="[" close="]" separators="|"> <mrow> <mn>0,2</mn> </mrow> </mfenced> </mrow> </mrow> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Y</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mrow> <mrow> <mn>0.5</mn> <mi mathvariant="normal">sin</mi> </mrow> <mo>⁡</mo> <mrow> <mn>50</mn> <mi>π</mi> <mi>x</mi> <mo>,</mo> <mi>x</mi> <mo>∈</mo> <mfenced open="[" close="]" separators="|"> <mrow> <mn>0.8</mn> <mo>,</mo> <mn>1.2</mn> </mrow> </mfenced> </mrow> </mrow> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Y</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> <mo>=</mo> <mn>0.01</mn> <msup> <mrow> <mi>e</mi> </mrow> <mrow> <mn>2</mn> <mi>x</mi> </mrow> </msup> <mo>,</mo> <mi>x</mi> <mo>∈</mo> <mfenced open="[" close="]" separators="|"> <mrow> <mn>0,2</mn> </mrow> </mfenced> </mrow> </semantics></math>; the analog sampling frequency is 200 Hz. (<b>b</b>) IMFs 1 to 4 and the residue decomposed by EMD.</p>
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<p>Decomposition results of Y using CEEMDAN. Although the same number of components as EMD is decomposed, here, IMFs 1 and 2 are much more consistent with the predefined Y1 and Y2.</p>
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<p>Results of trend extraction. (<b>left</b>) Identification results by different discriminants in current works; note, ‘E/C-27/28/29’ means the method in [<a href="#B27-mathematics-12-02197" class="html-bibr">27</a>,<a href="#B28-mathematics-12-02197" class="html-bibr">28</a>,<a href="#B29-mathematics-12-02197" class="html-bibr">29</a>] was applied to components decomposed by EMD (E) or CEEMDAN (C), and Th is the threshold value. (<b>right</b>) Comparison of the predefined trend and reconstructed trend items; note, ‘C-3 to Res’ means the trend is the sum of IMF 3, IMF 4, and the residue that was decomposed by CEEMDAN. C-Res and E-4 to Res, E-3 to Res, E-Res, and C-3 to Res are determined by the method in [<a href="#B27-mathematics-12-02197" class="html-bibr">27</a>], [<a href="#B28-mathematics-12-02197" class="html-bibr">28</a>], [<a href="#B29-mathematics-12-02197" class="html-bibr">29</a>], and [<a href="#B28-mathematics-12-02197" class="html-bibr">28</a>,<a href="#B29-mathematics-12-02197" class="html-bibr">29</a>], respectively.</p>
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<p>Overview of the artificial zone and predefined LLI of the track beam.</p>
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<p>(<b>a</b>) Processes of determining the correct position of the level bar (in the 10-th segment). Afterward, its slope and distance to the track surface (area covered by red slashes) can be measured. (<b>b</b>) Comparison between the distribution curve obtained by ICM and the original data.</p>
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<p>Results of LLI obtained by ICM under different level error of inclination. (<b>a</b>) Distribution of inclination sequences. (<b>b</b>) Obtained curves via various inclination data. (<b>c</b>) LLI after trend extraction and its spectrum.</p>
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<p>Diagram of data extrapolation (EP means extrapolation).</p>
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<p>Comparison of the results obtained by ICM and TPOM; note, T-O-200/400/800 means filters with an order of 200, 400, and 800. (<b>a</b>) Distribution of inclination sequences. (<b>b</b>) Results obtained by ICM and TPOM with various filters.</p>
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<p>(<b>a</b>) Original measured data of LLI. (<b>b</b>) Distribution curve of LLI after trend extraction.</p>
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<p>Distribution curves of LLI obtained by various methods. T/F-200/300/400 means TPOM/FPOM with <span class="html-italic">a</span>/<span class="html-italic">m</span> = 200/300/400, see <a href="#mathematics-12-02197-t001" class="html-table">Table 1</a>. The phase delay of CMM curves was eliminated in advance.</p>
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<p>PSD of the distribution curves of LLI obtained by ICM and CMM, the Japanese monorail, and the fitting result of ICM. Note, the curve of CMM is the average value of six CMM sequences of different parameters; the curve of ICM is fitted by Equation (8) with parameters of <span class="html-italic">A</span> = 0.11, <span class="html-italic">B</span> = 0.28, and <span class="html-italic">n</span> = 3.83; in addition, the recoverable ranges of different CMM are denoted.</p>
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<p>Configuration of the modeled track beam and the results of modal analysis. (<b>a</b>) General configuration of the track beam to be modeled. (<b>b</b>) Mode 1, 14.39 Hz. (<b>c</b>) Mode 2, 15.27 Hz.</p>
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<p>Joint MBD-FEM model. Note, W_T/Ste/Sta are the traveling/steering/stabilizing wheels, and their numbers on each bogie are 4, 4, and 2, respectively. (<b>a</b>) A monorail train running on the track beam. (<b>b</b>) Topology of the carriage of the modeled train.</p>
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<p>Verification of the model and the responses of MTTS train and track. The simulated TI is generated based on the data measured in the YN project located in Yunnan, China. Note, TI_30 means the running speed is 30 km/h with the existence of track irregularity. (<b>a</b>) Set up of the field test. (<b>b</b>) Track irregularity used in the model. (<b>c</b>) Comparison of displacement. (<b>d</b>) Comparison of acceleration.</p>
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<p>Dynamic responses of the track beam under various track conditions and running speeds. (<b>a</b>,<b>b</b>) Results of vertical acceleration and displacement under original and simulated track irregularities. Note, rms is the moving root-mean-square value calculated with a window size of 50; Results in (<b>c</b>–<b>f</b>) are simulated under the measured track irregularity from the YN project.</p>
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18 pages, 11359 KiB  
Article
Study of Quality Control Methods Utilizing IRMCD for HY-2B Data Assimilation Application
by Jiazheng Hu, Yu Zhang, Jianjun Xu, Jiajing Li, Duanzhou Shao, Qichang Tan and Junjie Feng
Atmosphere 2024, 15(6), 728; https://doi.org/10.3390/atmos15060728 - 18 Jun 2024
Viewed by 724
Abstract
Quality control (QC) of HaiYang-2B (HY-2B) satellite data is mainly based on the observation process, which remains uncertain for data assimilation (DA). The data in operation have not been widely used in numerical weather prediction. To ensure HY-2B data meet the theoretical assumptions [...] Read more.
Quality control (QC) of HaiYang-2B (HY-2B) satellite data is mainly based on the observation process, which remains uncertain for data assimilation (DA). The data in operation have not been widely used in numerical weather prediction. To ensure HY-2B data meet the theoretical assumptions for DA applications, the iterated reweighted minimum covariance determinant (IRMCD) QC method was studied in HY-2B data based on the typhoon “Chanba”. The statistical results showed that most of the outliers were eliminated, and the observation increment distribution of the HY-2B data after QC (QCed) was closer to a Gaussian distribution than the raw data. The kurtosis and skewness of the QCed data were much closer to zero. The QCed track demonstrated the lowest accumulated error and the best intensity in typhoon assimilation, and the QCed intensity was closest to the observation during the nearshore enhancement, exhibiting the strongest intensity among the experiment. Further analysis revealed that the improvement was accompanied by a significant reduction in vertical wind shear during the nearshore enhancement of the typhoon. The QCed moisture flux divergence and vertical velocity in the upper layer increased significantly, which promoted the upward transport of momentum in the lower layers and contributed to the maintenance of the typhoon’s barotropic structure. Compared with the assimilation of raw data, the effective removal of outliers using the IRMCD algorithm significantly improved the simulation results for typhoons. Full article
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<p>Terrain height; red rectangular box is forecasting experiment area (South China Sea).</p>
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<p>Data assimilation experiment framework.</p>
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<p>Probability density distribution of the observation increment (OMB), u-wind (left), and v-wind (right) during 30 June, 00 UTC–3 July, 00 UTC 2022; before QC (<b>a</b>,<b>b</b>); after QC (<b>c</b>,<b>d</b>).</p>
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<p>Distribution of observation (<span class="html-italic">x</span>-axis) and background filed (<span class="html-italic">y</span>-axis); u-wind (left), v-wind (right) during 30 June, 00 UTC−3 July, 00 UTC 2022; before QC (<b>a</b>,<b>b</b>); after QC (<b>c</b>,<b>d</b>).</p>
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<p>Quantile–quantile (Q–Q) scatterplots; u-wind (left), and v-wind (right) during 30 June, 00 UTC−3 July, 00 UTC 2022; before QC (<b>a</b>,<b>b</b>); after QC (<b>c</b>,<b>d</b>).</p>
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<p>Wind field of observation on 30 June, 12 UTC 2022; the red barbs are the outliers based on the IRMCD.</p>
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<p>Vertical profile of wind speed increment (m/s) on 30 June, 12 UTC 2022; before QC (<b>a</b>); after QC (<b>b</b>).</p>
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<p>Analysis of increment in wind speed (m/s) at the 850 hPa levels and 850 hPa horizontal wind vector on 30 June, 12 UTC 2022; before QC (<b>a</b>); after QC (<b>b</b>).</p>
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<p>Analysis of increment in divergence (s<sup>−1</sup>) in 850 hPa levels on 30 June, 12 UTC 2022; before QC (<b>a</b>); after QC (<b>b</b>).</p>
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<p>Simulation of the track (<b>a</b>) and the accumulated error (<b>b</b>) of track from 30 June, 12 UTC to 2 July, 12 UTC 2022. The best track from IBTrACS (black line) and experiments for EXP-CTRL (green line), EXP-HY2B (yellow line), EXP-IRMCD (red line).</p>
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<p>Simulation of intensity, variation in minimum sea level pressure (MSLP, (<b>a</b>)), and maximum wind speed (<b>b</b>) from 30 June, 12 UTC to 2 July, 12 UTC 2022. The best track from IBTrACS (black line), the experiments for EXP-CTRL (green line), EXP-HY2B (yellow line), and EXP-IRMCD (red line).</p>
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<p>The 6 h pressure change (<b>a</b>) and the vertical wind shear (VWS, (<b>b</b>)) in a square area of 200 km from 30 June, 12 UTC to 2 July, 12 UTC 2022. The pressure below the magenta dotted line is equal to or less than −4.14 hPa; the best track from IBTrACS (black line), the experiments for EXP-CTRL (green line), EXP-HY2B (yellow line), and EXP-IRMCD (red line).</p>
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<p>Time series of moisture flux divergence (the first column, g/(kg*s)) and vertical velocity (the second column, m/s). The experiments for EXP-CTRL (<b>a</b>,<b>b</b>), EXP-HY2B (<b>c</b>,<b>d</b>), and EXP-IRMCD (<b>e</b>,<b>f</b>) on 1 July.</p>
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<p>Horizontal wind vector (500 hPa) and horizontal distribution of VWS (m/s) between 200 and 850 hPa. The experiments for EXP-CTRL (<b>a</b>–<b>c</b>), EXP-HY2B (<b>d</b>–<b>f</b>), and EXP-IRMCD (<b>g</b>–<b>i</b>) on 1 July, 21 UTC (the first column), 2 July, 00 UTC (the second column), and 03 UTC (the third column).</p>
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<p>Latitudinal vertical profile along the typhoon center. The experiments for EXP-CTRL (<b>a</b>–<b>c</b>), EXP-HY2B (<b>d</b>–<b>f</b>), and EXP-IRMCD (<b>g</b>–<b>i</b>) on 2 July, 00 UTC (the first column), 03 UTC (the second column), and 06 UTC (the third column). Shaded colors are horizontal wind speed (m/s) at different levels. The black triangle is the center of the typhoon at the surface.</p>
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<p>Meridional vertical profile along the typhoon center. The experiments for EXP-CTRL (<b>a</b>–<b>c</b>), EXP-HY2B (<b>d</b>–<b>f</b>), and EXP-IRMCD (<b>g</b>–<b>i</b>) on 2 July, 00 UTC (the first column), 03 UTC (the second column), and 06 UTC (the third column). Shaded colors are the horizontal wind speed (m/s) at different levels. The black triangle is the center of the typhoon at the surface.</p>
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21 pages, 7819 KiB  
Article
Research on the Deviation Correction Control of a Tracked Drilling and Anchoring Robot in a Tunnel Environment
by Chuanwei Wang, Hongwei Ma, Xusheng Xue, Qinghua Mao, Jinquan Song, Rongquan Wang and Qi Liu
Actuators 2024, 13(6), 221; https://doi.org/10.3390/act13060221 - 13 Jun 2024
Cited by 1 | Viewed by 843
Abstract
In response to the challenges of multiple personnel, heavy support tasks, and high labor intensity in coal mine tunnel drilling and anchoring operations, this study proposes a novel tracked drilling and anchoring robot. The robot is required to maintain alignment with the centerline [...] Read more.
In response to the challenges of multiple personnel, heavy support tasks, and high labor intensity in coal mine tunnel drilling and anchoring operations, this study proposes a novel tracked drilling and anchoring robot. The robot is required to maintain alignment with the centerline of the tunnel during operation. However, owing to the effects of skidding and slipping between the track mechanism and the floor, the precise control of a drilling and anchoring robot in tunnel environments is difficult to achieve. Through an analysis of the body and track mechanisms of the drilling and anchoring robot, a kinematic model reflecting the pose, steering radius, steering curvature, and angular velocity of the drive wheel of the drilling and anchoring robot was established. This facilitated the determination of speed control requirements for the track mechanism under varying driving conditions. Mathematical models were developed to describe the relationships between a tracked drilling and anchoring robot and several key factors in tunnel environments, including the minimum steering space required by the robot, the minimum relative steering radius, the steering angle, and the lateral distance to the sidewalls. Based on these models, deviation-correction control strategies were formulated for the robot, and deviation-correction path planning was completed. In addition, a PID motion controller was developed for the robot, and trajectory-tracking control simulation experiments were conducted. The experimental results indicate that the tracked drilling and anchoring robot achieves precise control of trajectory tracking, with a tracking error of less than 0.004 m in the x-direction from the tunnel centerline and less than 0.001 m in the y-direction. Considering the influence of skidding, the deviation correction control performance test experiments of the tracked drilling and anchoring robot at dy = 0.5 m away from the tunnel centerline were completed. In the experiments, the tracked drilling and anchoring robot exhibited a significant difference in speed between the two sides of the tracks with a track skid rate of 0.22. Although the real-time tracking maximum error in the y-direction from the tunnel centerline was 0.13 m, the final error was 0.003 m, meeting the requirements for position deviation control of the drilling and anchoring robot in tunnel environments. These research findings provide a theoretical basis and technical support for the intelligent control of tracked mobile devices in coal mine tunnels, with significant theoretical and engineering implications. Full article
(This article belongs to the Special Issue Advanced Robots: Design, Control and Application—2nd Edition)
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<p>Composition of drilling and anchoring robot. 1. Left track mechanism, 2. main frame, 3. right track mechanism.</p>
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<p>The 3D model of the track mechanism.</p>
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<p>The geometric configuration of the tracked drilling and anchoring robot’s differential drive system in the xy plane.</p>
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<p>The relationship curve between the robot’s steering curvature <math display="inline"><semantics> <mi>κ</mi> </semantics></math>, velocity <span class="html-italic">v</span>, and the speeds of the left track <math display="inline"><semantics> <mrow> <msub> <mi>v</mi> <mi mathvariant="normal">L</mi> </msub> </mrow> </semantics></math> and right track <math display="inline"><semantics> <mrow> <msub> <mi>v</mi> <mi>R</mi> </msub> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <msub> <mi>v</mi> <mi mathvariant="normal">L</mi> </msub> </mrow> </semantics></math> = 0, 10, 20, 30).</p>
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<p>The relationship graph between the robot’s turning radius <math display="inline"><semantics> <mi>ρ</mi> </semantics></math>, driving speed <span class="html-italic">v</span>, slippage ratio <span class="html-italic">i</span>, and the speeds of the left track <span class="html-italic">v<sub>L</sub></span> and right track <span class="html-italic">v<sub>R</sub></span>: (<b>a</b>) <span class="html-italic">i</span> = 0, (<b>b</b>) <span class="html-italic">i</span> = 0.3.</p>
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<p>The relationship graph between the robot’s turning radius <math display="inline"><semantics> <mi>ρ</mi> </semantics></math>, driving speed <span class="html-italic">v</span>, slippage ratio <span class="html-italic">i</span>, and the speeds of the left track <span class="html-italic">v<sub>L</sub></span> and right track <span class="html-italic">v<sub>R</sub></span>: (<b>a</b>) <span class="html-italic">i</span> = 0, (<b>b</b>) <span class="html-italic">i</span> = 0.3.</p>
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<p>Analysis of the steering space drilling and anchoring robot.</p>
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<p>Relationship between the maximum steering angle of the robot and the distance to the sidewall: (<b>a</b>) analysis graph of robot steering capability, (<b>b</b>) robot steering angle <span class="html-italic">θ</span> vs. sidewall distance <span class="html-italic">Y<sub>R</sub></span>.</p>
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<p>Relationship between robot steering angle and distances from points <span class="html-italic">A</span>, <span class="html-italic">B</span>, <span class="html-italic">C</span>, and <span class="html-italic">D</span> to the sidewall.</p>
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<p>Path planning for robot correction in a tunnel environment.</p>
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<p>The robot path tracking PID kinematic controller.</p>
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<p>Block diagram of the robot control system.</p>
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<p>Simulink simulation model of the robot path tracking control system.</p>
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<p>Robot path tracking control simulation under different PID parameters: (<b>a</b>) path tracking simulation under different PID parameters; (<b>b</b>) x-y path tracking error under different PID parameters.</p>
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<p>Path tracking control simulation of the robot PID {0.1, 0.01, 0}: (<b>a</b>) path tracking simulation (<span class="html-italic">dy</span> = 0.1), (<b>b</b>) x-y path tracking error (<span class="html-italic">dy</span> = 0.1), (<b>c</b>) path tracking simulation ((<span class="html-italic">dy</span> = 0.5), (<b>d</b>) x-y path tracking error ((<span class="html-italic">dy</span> = 0.5).</p>
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<p>Drilling and anchoring robot test platform.</p>
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<p>Curve plot of robot steering correction control: (<b>a</b>) drive wheel speed curve, (<b>b</b>) displacement curve, (<b>c</b>) real-time error y-direction.</p>
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<p>Schematic diagram of the installation position of the ultrasonic sensors (1 ultrasonic sensor <span class="html-italic">US<sub>R</sub></span><sub>1</sub>, 2 ultrasonic sensor <span class="html-italic">US<sub>R</sub></span><sub>2</sub>).</p>
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<p>Curves of the displacement variation of the four corner points of the drilling and anchoring robot. (<b>a</b>) A, B, C, and D real-time displacement curves; (<b>b</b>) curves of the distance variation between points A, B, C, D and the sidewall.</p>
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17 pages, 14824 KiB  
Article
Model Predictive Collision Avoidance Control for Object Transport of Unmanned Underwater Vehicle-Dual-Manipulator Systems
by Yingxiang Wang and Jian Gao
J. Mar. Sci. Eng. 2024, 12(6), 926; https://doi.org/10.3390/jmse12060926 - 31 May 2024
Viewed by 716
Abstract
Unmanned underwater vehicle-dual-manipulator systems (UVDMSs) have attracted much research due to their humanoid operation capabilities, which have the advantage of cooperative manipulations and transporting underwater objects. Meanwhile, collision avoidance of UVDMSs is more challenging than that of unmanned underwater vehicle-dual manipulator systems (UVMSs). [...] Read more.
Unmanned underwater vehicle-dual-manipulator systems (UVDMSs) have attracted much research due to their humanoid operation capabilities, which have the advantage of cooperative manipulations and transporting underwater objects. Meanwhile, collision avoidance of UVDMSs is more challenging than that of unmanned underwater vehicle-dual manipulator systems (UVMSs). In this work, a model predictive control (MPC) approach is proposed for collision avoidance in objects transporting tasks of UVDMSs. The minimum distances of mutual manipulators and frame obstacles are handled as velocity constraints in the optimization of the UVDMS’s object tracking control. The command velocity generated by the model predictive kinematic controller is tracked by a dynamic inversion control scheme while model uncertainties are compensated by a neural network. Moreover, the tracking errors of the proposed dynamic controller are proved to be convergent by the Lyapunov method. At last, a three-dimensional (3D) UVDMS simulation platform is developed to verify the effectiveness of the proposed control strategy in the tasks of collision avoidance and object transport. Full article
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<p>Coordinate frames and joint configuration of the UVDMS.</p>
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<p>Definition of the minimum distances to avoid collisions.</p>
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<p>Distance between two non-coplanar links.</p>
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<p>Coordinates and forces of the object.</p>
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<p>Model predictive collision avoidance tracking control scheme.</p>
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<p>Moments of collisions and corresponding results improved by collision avoidance.</p>
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<p>End-effector position of Case 1: (<b>a</b>) Positions of the left end effector; (<b>b</b>) Positions of the right end effector.</p>
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<p>End-effector position of Case 2: (<b>a</b>) Positions of the left end effector; (<b>b</b>) Positions of the right end effector.</p>
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<p>Comparison of the minimum distances of certain links: (<b>a</b>) The fluctuation of the minimum distance from link 5 of the right manipulator to the left manipulator; (<b>b</b>) The fluctuation of the minimum distance from link 3 of the right manipulator to corresponding frames.</p>
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<p>Display of the object trajectory tracking in Unity.</p>
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<p>Object pose: (<b>a</b>) Positions of the object; (<b>b</b>) Euler angles of the object.</p>
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<p>UUV poses: (<b>a</b>) Positions of the vehicle; (<b>b</b>) Euler angles of the vehicle.</p>
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<p>Joint angles: (<b>a</b>) Joints of the left manipulator; (<b>b</b>) Joint of the right manipulator.</p>
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<p>Object and UUV velocities: (<b>a</b>) Velocity of the object; (<b>b</b>) Velocity of the vehicle.</p>
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<p>Joint velocities and manipulators input: (<b>a</b>) Joint angular velocities of both manipulators; (<b>b</b>) Torques of the manipulators.</p>
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<p>UUV torques input and compensation signals from the neural network: (<b>a</b>) Torques of the UUV; (<b>b</b>) NN compensation signals.</p>
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20 pages, 5758 KiB  
Article
Decentralized Virtual Impedance Control for Power Sharing and Voltage Regulation in Islanded Mode with Minimized Circulating Current
by Mubashir Hayat Khan, Shamsul Aizam Zulkifli, Nedim Tutkun, Ismail Ekmekci and Alessandro Burgio
Electronics 2024, 13(11), 2142; https://doi.org/10.3390/electronics13112142 - 30 May 2024
Cited by 1 | Viewed by 981
Abstract
In islanded operation, precise power sharing is an immensely critical challenge when there are different line impedance values among the different-rated inverters connected to the same electrical network. Issues in power sharing and voltage compensation at the point of common coupling, as well [...] Read more.
In islanded operation, precise power sharing is an immensely critical challenge when there are different line impedance values among the different-rated inverters connected to the same electrical network. Issues in power sharing and voltage compensation at the point of common coupling, as well as the reverse circulating current between inverters, are problems in existing control strategies for parallel-connected inverters if mismatched line impedances are not addressed. Therefore, this study aims to develop an improved decentralized controller for good power sharing with voltage compensation using the predictive control scheme and circulating current minimization between the inverters’ current flow. The controller was developed based on adaptive virtual impedance (AVI) control, combined with finite control set–model predictive control (FCS-MPC). The AVI was used for the generation of reference voltage, which responded to the parameters from the virtual impedance loop control to be the input to the FCS-MPC for a faster tracking response and to have minimum tracking error for better pulse-width modulation generation in the space-vector form. As a result, the circulating current was maintained at below 5% and the inverters were able to share an equal power based on the load required. At the end, the performance of the AVI-based control scheme was compared with those of the conventional and static-virtual-impedance-based methods, which have also been tested in simulation using MATLAB/Simulink software 2021a version. The comparison results show that the AVI FCS MPC give 5% error compared to SVI at 10% and conventional PI at 20%, in which AVI is able to minimize the circulating current when mismatch impedance is applied to the DGs. Full article
(This article belongs to the Special Issue Advancements in Power Electronics Conversion Technologies)
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<p>VSCs with common load.</p>
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<p>Voltage compensation control and calculations.</p>
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<p>Cost function calculations based on predictive outputs for proposed AVI FCS MPC controller.</p>
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<p>Optimization process (<b>a</b>) Plant output measurements (<b>b</b>) prediction horizon.</p>
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<p>One-step prediction with computational delay.</p>
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<p>Computational delay compensation mechanism.</p>
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<p>Voltage comparison at PCC with single load: (<b>a</b>) voltage at PCC for conventional control scheme, (<b>b</b>) zoomed-in <span class="html-italic">V<sub>PCC</sub></span> for conventional (PI) control, (<b>c</b>) <span class="html-italic">V<sub>PCC</sub></span> for SVI control, (<b>d</b>) zoomed-in <span class="html-italic">V<sub>PCC</sub></span> for SVI control, (<b>e</b>) <span class="html-italic">V<sub>PCC</sub></span> for proposed AVI-FCS MPC-based control, and (<b>f</b>) zoomed-in <span class="html-italic">V<sub>PCC</sub></span> for proposed AVI-FCS MPC.</p>
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<p>Output current comparison with single RL load at PCC: (<b>a</b>) output current at PCC for conventional control, (<b>b</b>) zoomed-in I<sub>o,PCC</sub> for conventional control (<b>c</b>) I<sub>o,PCC</sub> for SVI control, (<b>d</b>) zoomed-in I<sub>o,PCC</sub> for SVI control, (<b>e</b>) I<sub>o,PCC</sub> for proposed control, and (<b>f</b>) zoomed-in I<sub>o,PCC</sub> for proposed controller.</p>
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<p>Active power-sharing comparison: (<b>a</b>) <span class="html-italic">P</span> shared by DG1 and DG2 and (<b>b</b>) zoomed-in image of active power shared by DG1 and DG2.</p>
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<p>Reactive power-sharing comparison: (<b>a</b>) <span class="html-italic">Q</span> shared by DG1 and DG2 and (<b>b</b>) zoomed-in image of <span class="html-italic">Q</span> shared by each DG.</p>
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<p>Circulating current comparison for DG1 with single load: (<b>a</b>) circulating current for DG1 in PI control, (<b>b</b>) zoomed-in image of circulating current for DG1 in conventional control, (<b>c</b>) circulating current of DG1 in SVI control, (<b>d</b>) zoomed-in image of circulating current in SVI-based control, (<b>e</b>) circulating current of DG1 in proposed AVI-FCS MPC, and (<b>f</b>) zoomed-in image of circulating current for DG1 in proposed controller.</p>
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<p>Circulating current comparison for DG2 with single load: (<b>a</b>) circulating current for DG2 in PI control, (<b>b</b>) zoomed-in image of circulating current for DG2 in conventional control, (<b>c</b>) circulating current for DG2 in SVI-based control, (<b>d</b>) zoomed-in image of circulating current for DG2 in SVI-based control, (<b>e</b>) circulating current for DG2 in proposed AVI-based predictive control, and (<b>f</b>) zoomed-in image of circulating current for DG2 in proposed AVI-FCS MPC control.</p>
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<p>Harmonic spectrum of output voltage for Phase A under proposed AVI-FCS MPC-based control scheme when load was connected.</p>
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