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19 pages, 6572 KiB  
Article
Non-Line-of-Sight Positioning Method for Ultra-Wideband/Miniature Inertial Measurement Unit Integrated System Based on Extended Kalman Particle Filter
by Chengzhi Hou, Wanqing Liu, Hongliang Tang, Jiayi Cheng, Xu Zhu, Mailun Chen, Chunfeng Gao and Guo Wei
Drones 2024, 8(8), 372; https://doi.org/10.3390/drones8080372 - 3 Aug 2024
Cited by 1 | Viewed by 840
Abstract
In the field of unmanned aerial vehicle (UAV) control, high-precision navigation algorithms are a research hotspot. To address the problem of poor localization caused by non-line-of-sight (NLOS) errors in ultra-wideband (UWB) systems, an UWB/MIMU integrated navigation method was developed, and a particle filter [...] Read more.
In the field of unmanned aerial vehicle (UAV) control, high-precision navigation algorithms are a research hotspot. To address the problem of poor localization caused by non-line-of-sight (NLOS) errors in ultra-wideband (UWB) systems, an UWB/MIMU integrated navigation method was developed, and a particle filter (PF) algorithm for data fusion was improved upon. The extended Kalman filter (EKF) was used to improve the method of constructing the importance density function (IDF) in the traditional PF, so that the particle sampling process fully considers the real-time measurement information, increases the sampling efficiency, weakens the particle degradation phenomenon, and reduces the UAV positioning error. We compared the positioning accuracy of the proposed extended Kalman particle filter (EKPF) algorithm with that of the EKF and unscented Kalman filter (UKF) algorithm used in traditional UWB/MIMU data fusion through simulation, and the results proved the effectiveness of the proposed algorithm through outdoor experiments. We found that, in NLOS environments, compared with pure UWB positioning, the accuracy of the EKPF algorithm in the X- and Y-directions was increased by 35% and 39%, respectively, and the positioning error in the Z-direction was considerably reduced, which proved the practicability of the proposed algorithm. Full article
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<p>The navigation mode when a UAV transfers from indoor to outdoor environments.</p>
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<p>A schematic diagram of a tightly coupled UWB/MIMU framework.</p>
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<p>A diagram of the layout of a theoretical UWB positioning system.</p>
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<p>EKPF algorithm flow chart.</p>
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<p>Diagram of trajectory in the simulation.</p>
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<p>Comparison of position errors of different UWB/MIMU data fusion algorithms. (<b>a</b>) X-axis position error. (<b>b</b>) Y-axis position error. (<b>c</b>) Z-axis position error.</p>
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<p>Diagram of the actual UWB positioning system’s layout.</p>
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<p>Calibration of MIMU in different direction. (<b>a</b>) Calibrate the forward Z-axis of MIMU. (<b>b</b>) Calibrate the negative Z-axis of MIMU. (<b>c</b>) Calibrate the forward X-axis of MIMU.</p>
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<p>Calibration of magnetometer in different planes. (<b>a</b>) Collect magnetic field data of different planes (plane 1). (<b>b</b>) Collect magnetic field data of different planes (plane 2). (<b>c</b>) Collect magnetic field data of different planes (plane 3).</p>
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<p>Physical image of the UAV platform.</p>
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<p>A schematic diagram of the UAV flight experiment.</p>
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<p>A schematic diagram of the UAV flight experiment.</p>
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<p>A physical image of the outdoor UAV flight experiment.</p>
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<p>Methods of creating occlusions in the outdoor experiment. (<b>a</b>) Human body occlusion. (<b>b</b>) Iron board occlusion. (<b>c</b>) Cardboard occlusion.</p>
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17 pages, 5207 KiB  
Article
Parameter Identification of Maritime Vessel Rudder PMSM Based on Extended Kalman Particle Filter Algorithm
by Tianqing Yuan, Tianli Wang, Jing Bai and Jingwen Fan
J. Mar. Sci. Eng. 2024, 12(7), 1095; https://doi.org/10.3390/jmse12071095 - 28 Jun 2024
Viewed by 646
Abstract
To address the issue of system parameter variations during the operation of a maritime light vessel rudder permanent magnet synchronous motor (PMSM), an extended Kalman particle filter (EKPF) algorithm that combines a particle filter (PF) with an extended Kalman filter (EKF) is proposed [...] Read more.
To address the issue of system parameter variations during the operation of a maritime light vessel rudder permanent magnet synchronous motor (PMSM), an extended Kalman particle filter (EKPF) algorithm that combines a particle filter (PF) with an extended Kalman filter (EKF) is proposed in this paper. This approach enables the online identification of motor resistance and inductance. For highly nonlinear problems that are challenging for traditional methods such as Kalman filtering, this algorithm is typically a statistical and effective estimation method that usually yields good results. Firstly, a standard linear discrete parameter identification model is established for a PMSM. Secondly, the PF algorithm based on Bayesian state estimation as a foundation for subsequent research is derived. Thirdly, the advantages and limitations of the PF algorithm are analyzed, addressing issues such as sample degeneracy, by integrating it with the Kalman filtering algorithm. Specifically, the EKPF algorithm for online parameter identification is employed. Finally, the identification model within MATLAB/Simulink is constructed and the simulation studies are executed to ascertain the viability of our suggested algorithm. The outcomes from these simulations indicate that the proposed EKPF algorithm identifies resistance and inductance values both swiftly and precisely, markedly boosting the robustness and enhancing the control efficacy of the PMSM. Full article
(This article belongs to the Special Issue Advancements in Power Management Systems for Hybrid Electric Vessels)
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<p>Identification process flowchart.</p>
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<p>Resampling process flowchart.</p>
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<p>s-Function flowchart.</p>
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<p>Load torque and speed.</p>
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<p>Identification of <span class="html-italic">R</span>s and <span class="html-italic">L</span>s under steady state.</p>
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<p>Illustrates the parameter identification of <span class="html-italic">R</span>s and <span class="html-italic">L</span>s under the sudden change in stator resistance.</p>
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<p>Depicts the parameter identification of <span class="html-italic">R</span>s and <span class="html-italic">L</span>s under the sudden change in inductance from 3 mH to 4 mH.</p>
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<p>Load torque and speed when torque remains constant.</p>
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<p>Parameter identification of <span class="html-italic">R</span><sub>s</sub> and <span class="html-italic">L</span><sub>s.</sub></p>
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<p>Load torque and speed when torque changes.</p>
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<p>Parameter identification of <span class="html-italic">R</span>s and <span class="html-italic">L</span>s under load torque variation.</p>
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<p>Parameter identification of <span class="html-italic">R</span>s and <span class="html-italic">L</span>s under stator resistance variation: (<b>a</b>) sudden resistance change due to motor faults; (<b>b</b>) slow increase in resistance due to factors such as temperature rise.</p>
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<p>Parameter identification of <span class="html-italic">R</span>s and <span class="html-italic">L</span>s under stator resistance variation: (<b>a</b>) sudden resistance change due to motor faults; (<b>b</b>) slow increase in resistance due to factors such as temperature rise.</p>
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<p>Parameter identification of Rs and Ls under stator inductance variation: (<b>a</b>) sudden inductance change; (<b>b</b>) gradual increase in inductance.</p>
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1473 KiB  
Article
Wi-Fi/MARG Integration for Indoor Pedestrian Localization
by Zengshan Tian, Yue Jin, Mu Zhou, Zipeng Wu and Ze Li
Sensors 2016, 16(12), 2100; https://doi.org/10.3390/s16122100 - 10 Dec 2016
Cited by 51 | Viewed by 5528
Abstract
With the wide deployment of Wi-Fi networks, Wi-Fi based indoor localization systems that are deployed without any special hardware have caught significant attention and have become a currently practical technology. At the same time, the Magnetic, Angular Rate, and Gravity (MARG) sensors installed [...] Read more.
With the wide deployment of Wi-Fi networks, Wi-Fi based indoor localization systems that are deployed without any special hardware have caught significant attention and have become a currently practical technology. At the same time, the Magnetic, Angular Rate, and Gravity (MARG) sensors installed in commercial mobile devices can achieve highly-accurate localization in short time. Based on this, we design a novel indoor localization system by using built-in MARG sensors and a Wi-Fi module. The innovative contributions of this paper include the enhanced Pedestrian Dead Reckoning (PDR) and Wi-Fi localization approaches, and an Extended Kalman Particle Filter (EKPF) based fusion algorithm. A new Wi-Fi/MARG indoor localization system, including an Android based mobile client, a Web page for remote control, and a location server, is developed for real-time indoor pedestrian localization. The extensive experimental results show that the proposed system is featured with better localization performance, with the average error 0.85 m, than the one achieved by using the Wi-Fi module or MARG sensors solely. Full article
(This article belongs to the Section Sensor Networks)
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<p>Architecture of the proposed system.</p>
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<p>Block diagram of velocity estimation.</p>
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<p>Results of step detection.</p>
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<p>Block diagram of velocity calculation.</p>
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<p>Block diagram of heading estimation.</p>
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<p>CDFs of RSS from two different APs for 3 min. (<b>a</b>) RSS from AP with the MAC address C0: A0: BB: 26: 56: 50; (<b>b</b>) RSS from AP with the MAC address C0: A0: BB: 27: 88: 20.</p>
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<p>CDFs of RSS under four different orientations for 3 min. (<b>a</b>) RSS from AP with the MAC address C0: A0: BB: 26: 56: 50; (<b>b</b>) RSS from AP with the MAC address C0: A0: BB: 27: 88: 20.</p>
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<p>Pseudo code of the selection of the best-matching radio map.</p>
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<p>Environment layout.</p>
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<p>Interface of our developed software. (<b>a</b>) Mobile client; (<b>b</b>) Remote control.</p>
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<p>Body coordinate frame with respect to the receiver.</p>
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<p>Distance errors between the real and estimated walking distances.</p>
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<p>Testbed for heading estimation.</p>
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<p>CDFs of errors of heading estimation.</p>
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<p>Statistical errors of heading estimation.</p>
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<p>Result of heading estimation.</p>
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<p>CDFs of errors of heading estimation under different values <math display="inline"> <semantics> <mrow> <mi>K</mi> <mi>p</mi> </mrow> </semantics> </math> and <math display="inline"> <semantics> <mrow> <mi>K</mi> <mi>i</mi> </mrow> </semantics> </math>. (<b>a</b>) Different value <math display="inline"> <semantics> <mrow> <mi>K</mi> <mi>p</mi> </mrow> </semantics> </math>; (<b>b</b>) Different value <math display="inline"> <semantics> <mrow> <mi>K</mi> <mi>i</mi> </mrow> </semantics> </math>.</p>
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<p>Testbed for static localization.</p>
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<p>Testbed for dynamic localization.</p>
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<p>CDFs of errors by using different types of database. (<b>a</b>) Orientation 1; (<b>b</b>) Orientation 2; (<b>c</b>) Orientation 3; (<b>d</b>) Orientation 4.</p>
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<p>CDFs of errors by using different Wi-Fi localization approaches.</p>
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<p>Location tracking by the proposed fusion, PBL, and WBL systems.</p>
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<p>CDFs of errors by the proposed fusion, PBL, and WBL systems.</p>
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<p>Location tracking by the proposed fusion, EKF, and REKF systems.</p>
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<p>CDFs of errors by using the proposed fusion, EKF, and REKF systems.</p>
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<p>CDFs of errors under different numbers of particles.</p>
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<p>Comparison of computation time. (<b>a</b>) Under different number of particles; (<b>b</b>) Under different fusion systems.</p>
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723 KiB  
Article
Gas Path Health Monitoring for a Turbofan Engine Based on a Nonlinear Filtering Approach
by Feng Lu, Jinquan Huang and Yiqiu Lv
Energies 2013, 6(1), 492-513; https://doi.org/10.3390/en6010492 - 17 Jan 2013
Cited by 62 | Viewed by 6884
Abstract
Different approaches for gas path performance estimation of dynamic systems are commonly used, the most common being the variants of the Kalman filter. The extended Kalman filter (EKF) method is a popular approach for nonlinear systems which combines the traditional Kalman filtering and [...] Read more.
Different approaches for gas path performance estimation of dynamic systems are commonly used, the most common being the variants of the Kalman filter. The extended Kalman filter (EKF) method is a popular approach for nonlinear systems which combines the traditional Kalman filtering and linearization techniques to effectively deal with weakly nonlinear and non-Gaussian problems. Its mathematical formulation is based on the assumption that the probability density function (PDF) of the state vector can be approximated to be Gaussian. Recent investigations have focused on the particle filter (PF) based on Monte Carlo sampling algorithms for tackling strong nonlinear and non-Gaussian models. Considering the aircraft engine is a complicated machine, operating under a harsh environment, and polluted by complex noises, the PF might be an available way to monitor gas path health for aircraft engines. Up to this point in time a number of Kalman filtering approaches have been used for aircraft turbofan engine gas path health estimation, but the particle filters have not been used for this purpose and a systematic comparison has not been published. This paper presents gas path health monitoring based on the PF and the constrained extend Kalman particle filter (cEKPF), and then compares the estimation accuracy and computational effort of these filters to the EKF for aircraft engine performance estimation under rapid faults and general deterioration. Finally, the effects of the constraint mechanism and particle number on the cEKPF are discussed. We show in this paper that the cEKPF outperforms the EKF, PF and EKPF, and conclude that the cEKPF is the best choice for turbofan engine health monitoring. Full article
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<p>Constrained EKPF algorithm procedure.</p>
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<p>Schematic representation of a turbofan engine.</p>
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<p>Health parameters estimation with Gaussian noise under the Fault 1. (<b>a</b>) The EKF; (<b>b</b>) the PF; (<b>c</b>) the cEKPF.</p>
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<p>Health parameters estimation with Gaussian noise under the Fault 2. (<b>a</b>) the EKF; (<b>b</b>) the PF; (<b>c</b>) the cEKPF.</p>
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<p>Health parameters estimation with non-Gaussian process noise under the Fault 1. (<b>a</b>) The EKF; (<b>b</b>) the PF; (<b>c</b>) the cEKPF.</p>
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<p>Health parameters estimation with non-Gaussian process noise under the Fault 2. (<b>a</b>) The EKF; (<b>b</b>) the PF; (<b>c</b>) the cEKPF.</p>
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<p>Health parameters estimation with Gaussian noise under the gradual degradation. (<b>a</b>) The EKF; (<b>b</b>) the PF; (<b>c</b>) the cEKPF.</p>
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<p>Health parameters estimation with non-Gaussian noise under the gradual degradation. (<b>a</b>) The EKF; (<b>b</b>) the PF; (<b>c</b>) the cEKPF.</p>
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<p>Health parameters estimation with all measurements except <span class="html-italic">P5</span> in Gaussian system under the Fault 1. (<b>a</b>) The cEKPF; (<b>b</b>) the EKPF.</p>
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