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Search Results (1,194)

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Keywords = extended kalman filter

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28 pages, 15637 KiB  
Article
Machine Learning Based Localization of LoRa Mobile Wireless Nodes Using a Novel Sectorization Method
by Madiyar Nurgaliyev, Askhat Bolatbek, Batyrbek Zholamanov, Ahmet Saymbetov, Kymbat Kopbay, Evan Yershov, Sayat Orynbassar, Gulbakhar Dosymbetova, Ainur Kapparova, Nurzhigit Kuttybay and Nursultan Koshkarbay
Future Internet 2024, 16(12), 450; https://doi.org/10.3390/fi16120450 - 2 Dec 2024
Viewed by 196
Abstract
Indoor localization of wireless nodes is a relevant task for wireless sensor networks with mobile nodes using mobile robots. Despite the fact that outdoor localization is successfully performed by Global Positioning System (GPS) technology, indoor environments face several challenges due to multipath signal [...] Read more.
Indoor localization of wireless nodes is a relevant task for wireless sensor networks with mobile nodes using mobile robots. Despite the fact that outdoor localization is successfully performed by Global Positioning System (GPS) technology, indoor environments face several challenges due to multipath signal propagation, reflections from walls and objects, along with noise and interference. This results in the need for the development of new localization techniques. In this paper, Long-Range Wide-Area Network (LoRaWAN) technology is employed to address localization problems. A novel approach is proposed, based on the preliminary division of the room into sectors using a Received Signal Strength Indicator (RSSI) fingerprinting technique combined with machine learning (ML). Among various ML methods, the Gated Recurrent Unit (GRU) model reached the most accurate results, achieving localization accuracies of 94.54%, 91.02%, and 85.12% across three scenarios with a division into 256 sectors. Analysis of the cumulative error distribution function revealed the average localization error of 0.384 m, while the mean absolute error reached 0.246 m. These results demonstrate that the proposed sectorization method effectively mitigates the effects of noise and nonlinear signal propagation, ensuring precise localization of mobile nodes indoors. Full article
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<p>The LoRaWAN network architecture.</p>
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<p>Research map.</p>
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<p>Division of the experimental area into 256 (<b>a</b>) and 1024 (<b>b</b>) sectors.</p>
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<p>MLP architecture.</p>
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<p>The Gated Recurrent Unit architecture.</p>
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<p>Experimental setup.</p>
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<p>LoRaWAN data collection devices: (<b>A</b>) TurtleBot3 mobile robot, LoRaWAN LA66 Shield (<b>B</b>) and LoRaWAN USB Adapter (<b>C</b>).</p>
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<p>The movement trajectory for collecting training data.</p>
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<p>Three scenarios of robot movement: (<b>a</b>) first scenario (<b>b</b>) second scenario (<b>c</b>) third scenario.</p>
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<p>Received radio maps: (<b>a</b>) General radio map (<b>b</b>) First scenario (<b>c</b>) Second scenario (<b>d</b>) Third scenario.</p>
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<p>Received radio maps: (<b>a</b>) General radio map (<b>b</b>) First scenario (<b>c</b>) Second scenario (<b>d</b>) Third scenario.</p>
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<p>Application of the EKF for data smoothing: (<b>a</b>) first, (<b>b</b>) second, (<b>c</b>) third, (<b>d</b>) fourth receiver.</p>
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<p>Application of the EKF for data smoothing: (<b>a</b>) first, (<b>b</b>) second, (<b>c</b>) third, (<b>d</b>) fourth receiver.</p>
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<p>Radio map after applying the EKF.</p>
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<p>Radio map after applying the sectorization method. (<b>a</b>–<b>d</b>)—for the first, second, third, and fourth receivers with 256 sectors, respectively. (<b>e</b>–<b>h</b>)—for the first, second, third, and fourth receivers with 1024 sectors, respectively.</p>
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<p>Radio map after applying the sectorization method. (<b>a</b>–<b>d</b>)—for the first, second, third, and fourth receivers with 256 sectors, respectively. (<b>e</b>–<b>h</b>)—for the first, second, third, and fourth receivers with 1024 sectors, respectively.</p>
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<p>ML results (R<sup>2</sup> score) for various types of routes: (<b>a</b>) first (<b>b</b>) second (<b>c</b>) third.</p>
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<p>ML results for the first scenario: (<b>a</b>) MAE, (<b>b</b>) RMSE.</p>
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<p>ML results for the second scenario: (<b>a</b>) MAE, (<b>b</b>) RMSE.</p>
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<p>ML results for the third scenario: (<b>a</b>) MAE, (<b>b</b>) RMSE.</p>
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<p>Cumulative distribution of average localization errors.</p>
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17 pages, 9421 KiB  
Article
The Real-Time Observation of Electric Vehicle Operating Points Using an Extended Kalman Filter
by Younes Djellouli, Sid Ahmed El Mehdi Ardjoun, Emrah Zerdali, Mouloud Denai and Houcine Chafouk
Automation 2024, 5(4), 613-629; https://doi.org/10.3390/automation5040035 (registering DOI) - 30 Nov 2024
Viewed by 403
Abstract
Electric Vehicles (EVs) are set to play a crucial role in the energy transition. Although EVs offer significant environmental benefits, their technology still faces major challenges related to performance optimization, energy efficiency improvement, and cost reduction. A key point to address these challenges [...] Read more.
Electric Vehicles (EVs) are set to play a crucial role in the energy transition. Although EVs offer significant environmental benefits, their technology still faces major challenges related to performance optimization, energy efficiency improvement, and cost reduction. A key point to address these challenges is the accurate identification of the speed/torque operating points of the drive systems. However, this identification is generally achieved using mechanical sensors, which are fragile, bulky, and expensive. This paper aims to develop, implement, and validate a speed/torque observer in real time based on the Extended Kalman Filter (EKF) approach for an EV equipped with an Open-End Winding Induction Motor with Dual Inverter (OEWIM-DI). The implementation of the EKF is based on the state modeling of the OEWIM-DI, enabling the observation of the torque and speed using voltage and current measurements. The validation of this approach is conducted experimentally on the FPGA and DS1104 boards. The results show that this approach offers excellent performance in terms of accuracy, stability, and real-time response speed. These results suggest that the proposed method could significantly contribute to the advancement of EV technology by providing a more robust and cost-effective alternative to traditional mechanical sensors while improving the overall efficiency and performance of EV drive systems. Full article
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<p>Elementary forces acting on a vehicle.</p>
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<p>EV powertrain architecture.</p>
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<p>OEWIM dual-inverter structure using common DC source.</p>
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<p>Diagram of OEWIM’s transient dynamic equivalent circuit.</p>
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<p>Basic steps in implementing the EFK algorithm.</p>
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<p>The structure of the EKF observer.</p>
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<p>The experimental setup.</p>
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<p>Proposed driving cycle for EV.</p>
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<p>Test 1 results: (<b>a</b>) speeds; (<b>b</b>) torques.</p>
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<p>Speed rethinking during second test: (<b>a</b>) ascending; (<b>b</b>) descending.</p>
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<p>The couple’s rethinking during the second trial: (<b>a</b>) ascending; (<b>b</b>) descending.</p>
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<p>Speed response during test 3: (<b>a</b>) right turn; (<b>b</b>) left turn.</p>
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<p>Torque response during test 3: (<b>a</b>) right turn; (<b>b</b>) left turn.</p>
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35 pages, 9357 KiB  
Article
An Integration of Deep Neural Network-Based Extended Kalman Filter (DNN-EKF) Method in Ultra-Wideband (UWB) Localization for Distance Loss Optimization
by Chanthol Eang and Seungjae Lee
Sensors 2024, 24(23), 7643; https://doi.org/10.3390/s24237643 - 29 Nov 2024
Viewed by 274
Abstract
This paper examines the critical role of indoor positioning for robots, with a particular focus on small and confined spaces such as homes, warehouses, and similar environments. We develop an algorithm by integrating deep neural networks (DNNs) with the extended Kalman filter (EKF) [...] Read more.
This paper examines the critical role of indoor positioning for robots, with a particular focus on small and confined spaces such as homes, warehouses, and similar environments. We develop an algorithm by integrating deep neural networks (DNNs) with the extended Kalman filter (EKF) method, which is known as DNN-EKF, to obtain an accurate indoor localization for ensuring precise and reliable robot movements within the use of Ultra-Wideband (UWB) technology. The study introduces a novel methodology that combines advanced technology, including DNN, filtering techniques, specifically the EKF and UWB technology, with the objective of enhancing the accuracy of indoor localization systems. The objective of integrating these technologies is to develop a more robust and dependable solution for robot navigation in challenging indoor environments. The proposed approach combines a DNN with the EKF to significantly improve indoor localization accuracy for mobile robots. The results clearly show that the proposed model outperforms existing methods, including NN-EKF, LPF-EKF, and other traditional approaches. In particular, the DNN-EKF method achieves optimal performance with the least distance loss compared to NN-EKF and LPF-EKF. These results highlight the superior effectiveness of the DNN-EKF method in providing precise localization in indoor environments, especially when utilizing UWB technology. This makes the model highly suitable for real-time robotic applications, particularly in dynamic and noisy environments. Full article
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<p>System architecture of the proposed model.</p>
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<p>Experimental environment with visual tracking system.</p>
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<p>Robot poses and LiDAR scans before the automatic initialization (<b>a</b>); robot poses and LiDAR scans after the automatic initialization (<b>b</b>) [<a href="#B31-sensors-24-07643" class="html-bibr">31</a>].</p>
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<p>Proposed DNN-EKF flow diagram.</p>
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<p>Proposed model with learning rate 0.001: model and ground truth positions (<b>a</b>), proposed model with real robot positions (<b>b</b>), proposed model and AF-EKF (<b>c</b>), proposed model and LPF-KF (<b>d</b>), proposed model and LPF-EKF (<b>e</b>), proposed model and all methods (<b>f</b>).</p>
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<p>Proposed model with learning rate 0.01: model and ground truth positions (<b>a</b>), proposed model with real robot positions (<b>b</b>), proposed model and AF-EKF (<b>c</b>), proposed model and LPF-KF (<b>d</b>), proposed model and LPF-EKF (<b>e</b>), proposed model and all methods (<b>f</b>).</p>
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<p>Proposed model with learning rate 0.1: model and ground truth positions (<b>a</b>), proposed model with real robot positions (<b>b</b>), proposed model and AF-EKF (<b>c</b>), proposed model and LPF-KF (<b>d</b>), proposed model and LPF-EKF (<b>e</b>), proposed model and all methods (<b>f</b>).</p>
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<p>Proposed model with learning rate 0.1: NN-EKF, ground truth positions, and real robot positions (<b>a</b>), proposed model and NN-EKF, ground truth positions, and real robot positions (<b>b</b>).</p>
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<p>Distance loss among proposed DNN-EKF, NN-EKF, and LPF-EKF.</p>
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17 pages, 888 KiB  
Article
Physics-Informed Neural Networks for Unmanned Aerial Vehicle System Estimation
by Domenico Bianchi, Nicola Epicoco, Mario Di Ferdinando, Stefano Di Gennaro and Pierdomenico Pepe
Drones 2024, 8(12), 716; https://doi.org/10.3390/drones8120716 - 29 Nov 2024
Viewed by 336
Abstract
The dynamic nature of quadrotor flight introduces significant uncertainty in system parameters, such as thrust and drag factors. Consequently, operators grapple with escalating challenges in implementing real-time control actions. This study presents an approach for estimating the dynamic model of Unmanned Aerial Vehicles [...] Read more.
The dynamic nature of quadrotor flight introduces significant uncertainty in system parameters, such as thrust and drag factors. Consequently, operators grapple with escalating challenges in implementing real-time control actions. This study presents an approach for estimating the dynamic model of Unmanned Aerial Vehicles based on Physics-Informed Neural Networks (PINNs), which is of paramount importance due to the presence of uncertain data and since control actions are required in very short computation times. In this regard, by including physical laws into neural networks, PINNs offer the potential to tackle several issues, such as heightened non-linearities in low-inertia systems, elevated measurement noise, and constraints on data availability or uncertainties, while ensuring the robustness of the solution, thus ensuring effective results in short time, once the network training has been performed and without the need to be retrained. The effectiveness of the proposed method is showcased in a simulation environment with real data and juxtaposed with a state-of-the-art technique, such as the Extended Kalman Filter (EKF). The results show that the proposed estimator outperforms the EKF both in terms of the efficacy of the solution and computation time. Full article
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<p>Quadrotor orientation using Euler angles.</p>
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<p>PINNs architecture. It functions by employing its own output prediction as the initial state.</p>
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<p>Position x-axis and corresponding error.</p>
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<p>Position y-axis and corresponding error.</p>
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<p>Position z-axis and corresponding error.</p>
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<p>Roll angle <math display="inline"><semantics> <mi>ϕ</mi> </semantics></math> and corresponding error.</p>
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<p>Pitch angle <math display="inline"><semantics> <mi>θ</mi> </semantics></math> and corresponding error.</p>
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<p>Yaw angle <math display="inline"><semantics> <mi>ψ</mi> </semantics></math> and corresponding error.</p>
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25 pages, 6785 KiB  
Article
Intelligent QLFEKF Integrated Navigation for the SSBE Cruise Phase Based on X-Ray Pulsar/Solar and Target Planetary Doppler Information Fusion
by Wenjian Tao, Jinxiu Zhang, Jianing Song, Qin Lin, Zebin Chen, Hui Wang, Jikun Yang and Jihe Wang
Remote Sens. 2024, 16(23), 4465; https://doi.org/10.3390/rs16234465 - 28 Nov 2024
Viewed by 240
Abstract
The Solar System Boundary Exploration (SSBE) mission is the focal point for future far-reaching space exploration. Due to the SSBE having many scientific difficulties that need to be studied, such as a super long space exploratory distance, a super long flight time in [...] Read more.
The Solar System Boundary Exploration (SSBE) mission is the focal point for future far-reaching space exploration. Due to the SSBE having many scientific difficulties that need to be studied, such as a super long space exploratory distance, a super long flight time in orbit, and a significant communication data delay between the ground and the probe, the probe must have sufficient intelligence to realize intelligent autonomous navigation. Traditional navigation schemes have been unable to provide high-accuracy autonomous intelligent navigation for the probe independent of the ground. Therefore, high-accuracy intelligent astronomical integrated navigation would provide new methods and technologies for the navigation of the SSBE probe. The probe of the SSBE is disturbed by multiple sources of solar light pressure and a complex, unknown environment during its long cruise operation while in orbit. In order to ensure the high-accuracy position state and velocity state error estimation for the probe in the cruise phase, an autonomous intelligent integrated navigation scheme based on the X-ray pulsar/solar and target planetary Doppler velocity measurements is proposed. The reinforcement Q-learning method is introduced, and the reward mechanism is designed for trial-and-error tuning of state and observation noise error covariance parameters. The federated extended Kalman filter (FEKF) based on the Q-learning (QLFEKF) navigation algorithm is proposed to achieve high-accuracy state estimations of the autonomous intelligence navigation system for the SSBE probe cruise phase. The main advantage of the QLFEKF is that Q-learning combined with the conventional federated filtering method could optimize the state parameters in real-time and obtain high position and velocity state estimation (PVSE) accuracy. Compared with the conventional FEKF integrated navigation algorithm, the PVSE navigation accuracy of the federated filter integrated based the Q-learning navigation algorithm is improved by 55.84% and 37.04%, respectively, demonstrating the higher accuracy and greater capability of the raised autonomous intelligent integrated navigation algorithm. The simulation results show that the intelligent integrated navigation algorithm based on QLFEKF has higher navigation accuracy and is able to satisfy the demands of autonomous high accuracy for the SSBE cruise phase. Full article
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<p>The fundamental principle of the X-ray pulsar measurement pulse TOA.</p>
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<p>The basic principle of the solar/target planetary object Doppler velocity measurement.</p>
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<p>Intelligent information interaction with the flight environment for the PA.</p>
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<p>Collections of states and corresponding collections for actions for the QLFEKF. The shaded areas denote various combinations of the state and observation noise error covariance matrices <b><span class="html-italic">Q</span></b><span class="html-italic"><sub>k</sub></span> and <b><span class="html-italic">R</span></b><span class="html-italic"><sub>k</sub></span><sub>.</sub> The arrows represent the transitions between different states, and it means choosing different actions.</p>
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<p>Structure diagram of the <span class="html-italic">Q</span>-learning-based FEKF intelligent integrated navigation.</p>
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<p>Comparison of the position estimate RMSEs between STD/XP-QLFEKF and other integrated navigation algorithms.</p>
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<p>Comparison of the position estimate RMSEs for three axes between STD/XP-QLFEKF and other integrated navigation algorithms.</p>
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<p>Comparison of the velocity estimate RMSEs between STD/XP-QLFEKF and other integrated navigation algorithms.</p>
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<p>Comparison of the velocity estimate RMSEs based on three axes between STD/XP-QLFEKF and other integrated navigation algorithms.</p>
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<p>The PVSE RMSE errors (3<span class="html-italic">σ</span>) of the cruise phase as a function of the learning rate.</p>
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<p>The PVSE RMSE errors (3<span class="html-italic">σ</span>) of the cruise phase as a function of the discount factor.</p>
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<p>The PVSE RMSE errors (3<span class="html-italic">σ</span>) for the cruise phase as s function of the action selection probability.</p>
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<p>The influence of different iteration cycles of the reinforcement <span class="html-italic">Q</span>-learning on the precision of the PVSE errors in the probe’s cruise phase.</p>
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22 pages, 6687 KiB  
Article
Design of an Autonomous Orchard Navigation System Based on Multi-Sensor Fusion
by Zhengquan Su, Wei Zou, Changyuan Zhai, Haoran Tan, Shuo Yang and Xiangyang Qin
Agronomy 2024, 14(12), 2825; https://doi.org/10.3390/agronomy14122825 - 27 Nov 2024
Viewed by 287
Abstract
To address the limitations of traditional GNSS-based navigation systems in orchard environments, we propose a multi-sensor fusion-based autonomous navigation method for orchards. A crawler-type agricultural platform was used as a test vehicle, and an autonomous orchard navigation system was constructed using a 2D [...] Read more.
To address the limitations of traditional GNSS-based navigation systems in orchard environments, we propose a multi-sensor fusion-based autonomous navigation method for orchards. A crawler-type agricultural platform was used as a test vehicle, and an autonomous orchard navigation system was constructed using a 2D LiDAR, a dynamic electronic compass, and an encoder. The proposed system first filters LiDAR point cloud data and uses the DBSCAN–ratio–threshold method to process data and identify clusters of tree trunks. By matching the center coordinates of trunk clusters with a fruit tree distribution map, the platform’s positional measurements are determined. An extended Kalman filter fusion algorithm is then employed to obtain a posterior estimate of the platform’s position and pose. Experimental results demonstrate that in localization accuracy tests and navigation tests, the proposed system provides high navigation accuracy and robustness, making it suitable for autonomous walking operations in orchard environments. Full article
(This article belongs to the Section Precision and Digital Agriculture)
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<p>Hardware architecture diagram of the proposed system.</p>
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<p>Actual hardware setup of the system.</p>
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<p>Software implementation flow diagram of the proposed system.</p>
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<p>Schematic diagram of the WGS-84 coordinate system and horizontal coordinate system.</p>
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<p>Schematic diagram of matching trunk cluster centers with the current fruit tree distribution map.</p>
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<p>Schematic diagram of the fruit tree distribution map.</p>
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<p>Fruit tree distribution map.</p>
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<p>System localization accuracy test results.</p>
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<p>Distribution of valid measurement values for point 2500.</p>
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<p>Results of the overall system navigation performance evaluation.</p>
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<p>Zoomed-in views of segments D-E and F-G.</p>
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<p>Some LiDAR data in segment D-E during the turning and row-switching phase.</p>
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<p>Speeds of the left and right wheels of the platform.</p>
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<p>Azimuth results from state estimation.</p>
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<p>Trajectory tracking errors at different straight-line driving speeds.</p>
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19 pages, 5451 KiB  
Article
Joint Battery State of Charge Estimation Method Based on a Fractional-Order Model with an Improved Unscented Kalman Filter and Extended Kalman Filter for Full Parameter Updating
by Jingjin Wu, Yuhao Li, Qian Sun, Yu Zhu, Jiejie Xing and Lina Zhang
Fractal Fract. 2024, 8(12), 695; https://doi.org/10.3390/fractalfract8120695 - 26 Nov 2024
Viewed by 368
Abstract
State estimation of batteries is crucial in battery management systems (BMSs), particularly for accurately predicting the state of charge (SOC), which ensures safe and efficient battery operation. This paper proposes a joint SOC estimation method based on a fractional-order model, utilizing a multi-innovation [...] Read more.
State estimation of batteries is crucial in battery management systems (BMSs), particularly for accurately predicting the state of charge (SOC), which ensures safe and efficient battery operation. This paper proposes a joint SOC estimation method based on a fractional-order model, utilizing a multi-innovation full-tracking adaptive unscented Kalman filter (FOMIST-AUKF-EKF) combined with an extended Kalman filter (EKF) for online parameter updates. The fractional-order model more effectively represents the battery’s dynamic characteristics compared to traditional integer-order models, providing a more precise depiction of electrochemical processes and nonlinear behaviors. It offers superior modeling for long-memory effects, complex dynamics, and aging processes, enhancing adaptability to aging and nonlinear characteristics. Comparative results indicate a maximum end-voltage error reduction of 0.002 V with the fractional-order model compared to the integer-order model. The multi-innovation technology increases filter robustness against noise by incorporating multiple historical observations, while the full-tracking adaptive strategy dynamically adjusts the noise covariance matrix based on real-time data, thus enhancing estimation accuracy. Furthermore, EKF updates battery parameters (e.g., resistance and capacitance) in real time, correcting model errors and improving SOC prediction accuracy. Simulation and experimental validation show that the proposed method significantly outperforms traditional UKF-based SOC estimation techniques in accuracy, stability, and adaptability. Specifically, under varying conditions such as NEDC and DST, the method demonstrates excellent robustness and practicality, with maximum SOC estimation errors of 0.27% and 0.67%, respectively. Full article
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<p>Fractional-order second-order RC model.</p>
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<p>HPPC impulse test current test. (<b>a</b>) Current curve; (<b>b</b>) SOC curve.</p>
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<p>Model identification results. (<b>a</b>) End voltage comparison; (<b>b</b>) end voltage error comparison.</p>
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<p>FOMIST-AUKF-EKF process.</p>
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<p>Battery experiment platform.</p>
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<p>(<b>a</b>) Current map of NEDC working condition; (<b>b</b>) current map of DST working end.</p>
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<p>NEDC operating conditions. (<b>a</b>) SOC comparison; (<b>b</b>) SOC error comparison; (<b>c</b>) end voltage comparison; (<b>d</b>) end voltage error.</p>
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<p>(<b>a</b>) SOC comparison; (<b>b</b>) SOC error comparison; (<b>c</b>) terminal voltage comparison; (<b>d</b>) terminal voltage error under DST operating conditions.</p>
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<p>Change in ohmic resistance <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Parameter identification and update results of second-order RC network. (<b>a</b>) Change in ohmic resistance <span class="html-italic">R</span><sub>1</sub> (<b>b</b>) Change in ohmic resistance <span class="html-italic">R</span><sub>2</sub> (<b>c</b>) Change in ohmic resistance C<sub>1</sub> (<b>d</b>) Change in ohmic resistance C<sub>2</sub>.</p>
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<p>(<b>a</b>) Fractional-order parameters <math display="inline"><semantics> <mrow> <mi>α</mi> </mrow> </semantics></math> and (<b>b</b>) identification results <math display="inline"><semantics> <mrow> <mi>β</mi> </mrow> </semantics></math>.</p>
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16 pages, 4684 KiB  
Article
Online Calibration of Inertial Sensors Based on Error Backpropagation
by Vojtech Simak, Jan Andel, Dusan Nemec and Juraj Kekelak
Sensors 2024, 24(23), 7525; https://doi.org/10.3390/s24237525 - 25 Nov 2024
Viewed by 255
Abstract
Global satellite navigation systems (GNSSs) are the most-used technology for the localization of vehicles in the outdoor environment, but in the case of a densely built-up area or during passage through a tunnel, the satellite signal is not available or has poor quality. [...] Read more.
Global satellite navigation systems (GNSSs) are the most-used technology for the localization of vehicles in the outdoor environment, but in the case of a densely built-up area or during passage through a tunnel, the satellite signal is not available or has poor quality. Inertial navigation systems (INSs) allow localization dead reckoning, but they have an integration error that grows over time. Inexpensive inertial measurement units (IMUs) are subject to thermal-dependent error and must be calibrated almost continuously. This article proposes a novel method of online (continuous) calibration of inertial sensors with the aid of the data from the GNSS receiver during the vehicle’s route. We performed data fusion using an extended Kalman filter (EKF) and calibrated the input sensors through error backpropagation. The algorithm thus calibrates the INS sensors while the GNSS receiver signal is good, and after a GNSS failure, for example in tunnels, the position is predicted only by low-cost inertial sensors. Such an approach significantly improved the localization precision in comparison with offline calibrated inertial localization with the same sensors. Full article
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Graphical abstract
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<p>Integration of the module into a passenger vehicle.</p>
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<p>GNSS antenna placed on a passenger vehicle.</p>
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<p>Inclination and declination of the magnetic field.</p>
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<p>Extended Kalman filter for the IMU unit.</p>
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<p>Kalman filter for velocity update.</p>
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<p>Illustration of a neural network.</p>
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<p>Fusion of input data through neural networks.</p>
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<p>Comparison of estimated speed from odometry (blue), low-cost GNSS (green), navigation-grade GNSS (red), and Kalman filter (orange).</p>
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<p>Comparison of estimated relative elevation from low-cost GNSS (blue), navigation-grade GNSS (orange), and Kalman filter (green).</p>
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<p>GNSS signal failure in tunnels (red), calibration through error backpropagation (blue).</p>
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<p>Error of the estimated position from NN-calibrated KF (blue), navigation-grade GNSS+INS (orange), and offline-calibrated KF (green) with respect to the position obtained from map documents while traveling through the first tunnel.</p>
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<p>Error of the estimated position from NN-calibrated KF (blue), navigation-grade GNSS+INS (orange), and offline-calibrated KF (green) with respect to the position obtained from map documents while traveling through the first tunnel.</p>
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19 pages, 887 KiB  
Article
Fault-Tolerant Closed-Loop Controller Using Online Fault Detection by Neural Networks
by Alma Y. Alanis, Jesus G. Alvarez, Oscar D. Sanchez, Hannia M. Hernandez and Arturo Valdivia-G
Machines 2024, 12(12), 844; https://doi.org/10.3390/machines12120844 - 25 Nov 2024
Viewed by 392
Abstract
This paper presents an online model-free sensor fault-tolerant control scheme capable of tolerating the most common faults affecting an induction motor. This approach involves using neural networks for fault detection to provide the controller with sufficient information to counteract adverse consequences due to [...] Read more.
This paper presents an online model-free sensor fault-tolerant control scheme capable of tolerating the most common faults affecting an induction motor. This approach involves using neural networks for fault detection to provide the controller with sufficient information to counteract adverse consequences due to sensor faults, such as degradation in performance, reliability, and even failures in the control system. The proposed approach does not consider the knowledge of the nominal model of the system or when the fault may occur. Therefore, a high-order recurrent neural network trained online by the Extended Kalman Filter is used to obtain a mathematical model of the system. The obtained model is used to synthesize a discrete-time sliding mode control. Then, the fault-detection and -isolation stage is performed by independent neural networks, which have as input the signal from the current sensor and the position sensor, respectively. In this way, the neural classifiers continuously monitor the sensors, showing the ability to know the sensor status. The combination of controller and fault detection maintains the operation of the motor during the time of the fault occurrence, whether due to sensor disconnection, degradation, or connection failure. In fact, the MLP neural network achieves an accuracy between 95% and 99% and shows an AUC of 97% to 99%, and this neural network correctly classifies true positives with acceptable performance. The Recall value is high, between 97% and 99%, and the F1 score confirms a good performance. In contrast, the CNN shows a higher accuracy, between 96% and 99% in accuracy and 98% to 99% in AUC. In addition, its Recall and F1 reflect a better balance and capacity to handle complex data, demonstrating its superiority to MLP in fault classification. Therefore, neural networks are a promising approach in areas such as fault-tolerant control. Full article
(This article belongs to the Special Issue Computational Intelligence for Fault Detection and Classification)
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<p>Rotary induction motor test bench setup.</p>
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<p>Neural identification of unknown system under sensors failure.</p>
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<p>The scheme of the control and identification system based on machine learning techniques that integrates a High-Order Recurrent Neural Network (RHONN), an Extended Kalman Filter (EKF), and a neural classifier is shown. This scheme improves the performance in the presence of sensor failures.</p>
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<p>Deep neural network architecture for online fault classification.</p>
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<p>The sliding-window extraction from the time series <span class="html-italic">X</span>.</p>
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<p>Data set from induction motor sensors.</p>
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<p>Simulink diagram of induction motor.</p>
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<p>Tracking results of the neural sliding-mode sensor’s fault-tolerant controller with the CNN-based neural classifier.</p>
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13 pages, 8325 KiB  
Article
Fault Diagnosis of Lithium-Ion Batteries Based on the Historical Trajectory of Remaining Discharge Capacity
by Jiuchun Jiang, Bingrui Qu, Shuaibang Liu, Huan Yan, Zhen Zhang and Chun Chang
Appl. Sci. 2024, 14(23), 10895; https://doi.org/10.3390/app142310895 - 25 Nov 2024
Viewed by 424
Abstract
In recent years, the number of safety accidents in new-energy electric vehicles due to lithium-ion battery failures has been increasing, and the lithium-ion battery fault diagnosis technology is particularly important to ensure the safe operation of electric vehicles. This paper proposes a method [...] Read more.
In recent years, the number of safety accidents in new-energy electric vehicles due to lithium-ion battery failures has been increasing, and the lithium-ion battery fault diagnosis technology is particularly important to ensure the safe operation of electric vehicles. This paper proposes a method for lithium-ion battery fault diagnosis based on the historical trajectory of lithium-ion battery remaining discharge capacity in medium and long time scales. The method first utilizes the sparrow search algorithm (SSA) to identify the parameters of the second-order equivalent circuit model of the lithium-ion battery, and then estimates the state of charge (SOC) of the lithium-ion battery using the extended Kalman filter (EKF). The remaining discharge capacity is estimated according to the SOC, and finally the feature vectors are used to diagnose the faults using box plots on the medium and long time scales. Experimental results verify that the root mean squared error (RSME) and mean absolute error (MAE) of the proposed SOC estimation method are 0.0049 and 0.0034, respectively. This method can accurately identify the faulty single cell in a battery pack with low-capacity single cells and promptly detect any abnormalities in the single cell when a micro-short circuit fault occurs. Full article
(This article belongs to the Special Issue Current Updates and Key Techniques of Battery Safety)
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<p>Second-order RC equivalent circuit model.</p>
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<p>Block diagram of troubleshooting process.</p>
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<p>Experimental platform construction.</p>
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<p>Raw voltage profile.</p>
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<p>Parameter identification results.</p>
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<p>(<b>a</b>) Cumulative error of parameter identification. (<b>b</b>) End voltage estimation results and error.</p>
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<p>(<b>a</b>) Cumulative error of parameter identification. (<b>b</b>) End voltage estimation results and error.</p>
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<p>EKF estimation results and errors.</p>
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<p>Remaining Capacity Change.</p>
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<p>Fault diagnosis results.</p>
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19 pages, 4286 KiB  
Article
Interpreting CNN-RNN Hybrid Model-Based Ensemble Learning with Explainable Artificial Intelligence to Predict the Performance of Li-Ion Batteries in Drone Flights
by Betül Ersöz, Saadin Oyucu, Ahmet Aksöz, Şeref Sağıroğlu and Emre Biçer
Appl. Sci. 2024, 14(23), 10816; https://doi.org/10.3390/app142310816 - 22 Nov 2024
Viewed by 440
Abstract
Li-ion batteries are important in modern technology, especially for drones, due to their high energy density, long cycle life, and lightweight properties. Predicting their performance is crucial for enhancing drone flight safety, optimizing operations, and reducing costs. This involves using advanced techniques like [...] Read more.
Li-ion batteries are important in modern technology, especially for drones, due to their high energy density, long cycle life, and lightweight properties. Predicting their performance is crucial for enhancing drone flight safety, optimizing operations, and reducing costs. This involves using advanced techniques like machine learning (e.g., Convolutional Neural Network-CNNs, Recurrent Neural Network-RNNs), statistical modeling (e.g., Kalman Filtering), and explainable AI (e.g., SHAP, LIME, PDP) to forecast battery behavior, extend battery life, and improve drone efficiency. The study aims to develop a CNN-RNN-based ensemble model, enhanced with explainable AI, to predict key battery metrics during drone flights. The model’s predictions will aid in enhancing battery performance via continuous, data-driven monitoring, improve drone safety, optimize operations, and reduce greenhouse gas emissions through advanced recycling methods. In the present study, comparisons are made for the behaviors of two different drone Li-ion batteries, numbered 92 and 129. The ensemble model in Drone 92 showed the best performance with MAE (0.00032), RMSE (0.00067), and R2 (0.98665) scores. Similarly, the ensemble model in Drone 129 showed the best performance with MAE (0.00030), RMSE (0.00044), and R2 (0.98094) performance metrics. Similar performance results are obtained in the two predictions. However, drone 129 has a minimally lower error rate. When the Partial Dependence Plots results, which are one of the explainable AI (XAI) techniques, are interpreted with the decision tree algorithm, the effect of the Current (A) value on the model estimations in both drone flights is quite evident. When the current value is around −4, the model is more sensitive and shows more changes. This study will establish benchmarks for future research and foster advancements in drone and battery technologies through extensive testing. Full article
(This article belongs to the Special Issue Recent Applications of Explainable AI (XAI))
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<p>The workflow of data-driven battery SOH estimation models [<a href="#B39-applsci-14-10816" class="html-bibr">39</a>].</p>
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<p>Fundamental forces in drone flight dynamics, including thrust, drag, lift, and weight.</p>
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<p>Deep Learning Based ensemble learning method flow charts. (<b>a</b>) Drone 92 Dataset; (<b>b</b>) Drone 129 Dataset.</p>
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<p>Convolutional Neural Network (CNN) Model MAE and Loss values (Drone 92).</p>
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<p>The results of CNN Models (Drone 129).</p>
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<p>The results of RNN Models (Drone 92).</p>
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<p>Recurrent Neural Networks (RNNs) Model MAE and Loss values (Drone 129).</p>
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<p>The results of the CNN + RNN Model (Drone number 92).</p>
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<p>CNN + RNN Model MAE and Loss values (Drone number 129).</p>
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<p>The results for the Drone 92 and Drone 129 datasets of Deep Ensemble Learning Model R<sup>2</sup> Scores.</p>
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<p>Results for Drone 92 Partial Dependence Plots using XAI Model.</p>
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<p>The results for the Drone 129 Dataset used for PDP with XAI Model.</p>
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36 pages, 17182 KiB  
Article
A Fuzzy-Immune-Regulated Single-Neuron Proportional–Integral–Derivative Control System for Robust Trajectory Tracking in a Lawn-Mowing Robot
by Omer Saleem, Ahmad Hamza and Jamshed Iqbal
Computers 2024, 13(11), 301; https://doi.org/10.3390/computers13110301 - 19 Nov 2024
Viewed by 303
Abstract
This paper presents the constitution of a computationally intelligent self-adaptive steering controller for a lawn-mowing robot to yield robust trajectory tracking and disturbance rejection behavior. The conventional fixed-gain proportional–integral–derivative (PID) control procedure lacks the flexibility to deal with the environmental indeterminacies, coupling issues, [...] Read more.
This paper presents the constitution of a computationally intelligent self-adaptive steering controller for a lawn-mowing robot to yield robust trajectory tracking and disturbance rejection behavior. The conventional fixed-gain proportional–integral–derivative (PID) control procedure lacks the flexibility to deal with the environmental indeterminacies, coupling issues, and intrinsic nonlinear dynamics associated with the aforementioned nonholonomic system. Hence, this article contributes to formulating a self-adaptive single-neuron PID control system that is driven by an extended Kalman filter (EKF) to ensure efficient learning and faster convergence speeds. The neural adaptive PID control formulation improves the controller’s design flexibility, which allows it to effectively attenuate the tracking errors and improve the system’s trajectory tracking accuracy. To supplement the controller’s robustness to exogenous disturbances, the adaptive PID control signal is modulated with an auxiliary fuzzy-immune system. The fuzzy-immune system imitates the automatic self-learning and self-tuning characteristics of the biological immune system to suppress bounded disturbances and parametric variations. The propositions above are verified by performing the tailored hardware in the loop experiments on a differentially driven lawn-mowing robot. The results of these experiments confirm the enhanced trajectory tracking precision and disturbance compensation ability of the prescribed control method. Full article
(This article belongs to the Special Issue Feature Papers in Computers 2024)
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<p>Position of the WMR.</p>
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<p>Baseline velocity control architecture of the WMR.</p>
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<p>Trajectory-tracking errors of the WMR.</p>
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<p>Behavior of modified error signal vs. linear error signal.</p>
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<p>Waveform of the hyperbolic tangent function.</p>
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<p>Schematic diagram of the SN-APID control scheme.</p>
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<p>Schematic of the fuzzy-immune-regulated SN-APID control scheme.</p>
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<p>Input fuzzy MFs of <math display="inline"><semantics> <mrow> <mi>u</mi> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mover accent="true"> <mrow> <mi>u</mi> </mrow> <mo>˙</mo> </mover> </mrow> </semantics></math>.</p>
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<p>Output fuzzy MFs of <math display="inline"><semantics> <mrow> <mi>σ</mi> </mrow> </semantics></math>.</p>
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<p>Schematic diagram of the FSN-APID control architecture.</p>
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<p>Lawn mowing robot chassis used for experimental analysis.</p>
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<p>The rose-curve reference trajectory.</p>
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<p>State variations under nominal conditions.</p>
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<p>Error profile of each state variable under nominal conditions.</p>
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<p>Rose-curve tracking profiles under nominal conditions.</p>
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<p>State variations under impulsive disturbances.</p>
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<p>Error profile of each state variable under impulsive disturbances.</p>
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<p>Rose-curve tracking profiles under impulsive disturbances.</p>
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<p>State variations under step disturbances.</p>
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<p>Error profile of each state variable under step disturbances.</p>
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<p>Rose-curve tracking profiles under step conditions.</p>
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<p>State variations under randomized step disturbances.</p>
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<p>Error profile of each state variable under randomized step disturbances.</p>
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<p>Rose-curve tracking profiles under randomized step conditions.</p>
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<p>State variations under different fuzzy parameter settings of FSN-APID controller.</p>
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<p>Error profile of each state variable’s different fuzzy parameter settings of FSN-APID controller.</p>
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<p>Rose-curve tracking profiles under different fuzzy parameter settings of FSN-APID controller.</p>
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<p>Waveforms of the activation functions used for the ablation study.</p>
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<p>State variations under different activation functions of FSN-APID controller.</p>
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<p>Error profile of each state variable under different activation functions of FSN-APID controller.</p>
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<p>Rose-curve tracking profiles under different activation functions of FSN-APID controller.</p>
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<p>State variations under different terrain types.</p>
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<p>Error profile of each state variable under different terrain types.</p>
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<p>Rose-curve tracking profiles under different terrain types.</p>
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18 pages, 3827 KiB  
Article
Adaptive Joint Sigma-Point Kalman Filtering for Lithium-Ion Battery Parameters and State-of-Charge Estimation
by Houda Bouchareb, Khadija Saqli, Nacer Kouider M’sirdi and Mohammed Oudghiri Bentaie
World Electr. Veh. J. 2024, 15(11), 532; https://doi.org/10.3390/wevj15110532 - 18 Nov 2024
Viewed by 449
Abstract
Precise modeling and state of charge (SoC) estimation of a lithium-ion battery (LIB) are crucial for the safety and longevity of battery systems in electric vehicles. Traditional methods often fail to adapt to the dynamic, nonlinear, and time-varying behavior of LIBs under different [...] Read more.
Precise modeling and state of charge (SoC) estimation of a lithium-ion battery (LIB) are crucial for the safety and longevity of battery systems in electric vehicles. Traditional methods often fail to adapt to the dynamic, nonlinear, and time-varying behavior of LIBs under different operating conditions. In this paper, an advanced joint estimation approach of the model parameters and SoC is proposed utilizing an enhanced Sigma Point Kalman Filter (SPKF). Based on the second-order equivalent circuit model (2RC-ECM), the proposed approach was compared to the two most widely used methods for simultaneously estimating the model parameters and SoC, including a hybrid recursive least square (RLS)-extended Kalman filter (EKF) method, and simple joint SPKF. The proposed adaptive joint SPKF (ASPKF) method addresses the limitations of both the RLS+EKF and simple joint SPKF, especially under dynamic operating conditions. By dynamically adjusting to changes in the battery’s characteristics, the method significantly enhances model accuracy and performance. The results demonstrate the robustness, computational efficiency, and reliability of the proposed ASPKF approach compared to traditional methods, making it an ideal solution for battery management systems (BMS) in modern EVs. Full article
(This article belongs to the Special Issue Lithium-Ion Battery Diagnosis: Health and Safety)
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<p>Four pulse discharge hybrid pulse power characterization (FPD-HPPC) current data and battery terminal voltage response.</p>
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<p>Urban dynamometer driving schedule (UDDS) current data and battery terminal voltage response.</p>
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<p>Second order equivalent circuit model (2RC-ECM).</p>
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<p>State of charge-open circuit voltage (SOC-OCV) curve.</p>
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<p>2RC-ECM voltage response under FPD-HPPC test at 25 °C.</p>
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<p>Measured and estimated battery terminal voltage under UDDS test at 25 °C.</p>
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<p>Measured and estimated battery terminal voltage under LA92 test at 25 °C.</p>
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<p>SPKF State of charge estimation under UDDS test at 25 °C.</p>
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<p>Schematic diagram for the battery parameters and SoC joint estimation.</p>
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<p>Comparison between battery SoC estimation results using RLS+EKF/UKF/AUKF under UDDS test at 25 °C.</p>
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13 pages, 3354 KiB  
Article
On-Line Parameter Identification and SOC Estimation for Lithium-Ion Batteries Based on Improved Sage–Husa Adaptive EKF
by Xuan Tang, Hai Huang, Xiongwu Zhong, Kunjun Wang, Fang Li, Youhang Zhou and Haifeng Dai
Energies 2024, 17(22), 5722; https://doi.org/10.3390/en17225722 - 15 Nov 2024
Viewed by 367
Abstract
For the Battery Management System (BMS) to manage and control the battery, State of Charge (SOC) is an important battery performance indicator. In order to identify the parameters of the LiFePO4 battery, this paper employs the forgetting factor recursive least squares (FFRLS) [...] Read more.
For the Battery Management System (BMS) to manage and control the battery, State of Charge (SOC) is an important battery performance indicator. In order to identify the parameters of the LiFePO4 battery, this paper employs the forgetting factor recursive least squares (FFRLS) method, which considers the computational volume and model correctness, to determine the parameters of the LiFePO4 battery. On this basis, the two resistor-capacitor equivalent circuit model is selected for estimating the SOC of the Li-ion battery by combining the extended Kalman filter (EKF) with the Sage–Husa adaptive algorithm. The positivity is improved by modifying the system noise estimation matrix. The paper concludes with a MATLAB 2016B simulation, which serves to validate the SOC estimation algorithm. The results demonstrate that, in comparison to the conventional EKF, the enhanced EKF exhibits superior estimation precision and resilience to interference, along with enhanced convergence during the estimation process. Full article
(This article belongs to the Special Issue Electric Vehicles for Sustainable Transport and Energy: 2nd Edition)
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<p>Global electric car stock trends from 2010 to 2023 [<a href="#B1-energies-17-05722" class="html-bibr">1</a>].</p>
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<p>2RC equivalent circuit model.</p>
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<p>HPPC test. (<b>A</b>) Voltage. (<b>B</b>) Current.</p>
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<p>OCV-SOC fitting curve.</p>
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<p>In pulse discharge mode, the voltage comparison and its error curve are as follows: (<b>A</b>) voltage comparison, (<b>B</b>) error curve.</p>
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<p>Schematic of SOC online estimation.</p>
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<p>Curves of each algorithm versus real SOC.</p>
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<p>Error curves of each algorithm with respect to real SOC.</p>
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22 pages, 8038 KiB  
Article
Fault-Tolerant Control for Quadcopters Under Actuator and Sensor Faults
by Kenji Fabiano Ávila Okada, Aniel Silva Morais, Laura Ribeiro, Caio Meira Amaral da Luz, Fernando Lessa Tofoli, Gabriela Vieira Lima and Luís Cláudio Oliveira Lopes
Sensors 2024, 24(22), 7299; https://doi.org/10.3390/s24227299 - 15 Nov 2024
Viewed by 597
Abstract
Fault detection and diagnosis (FDD) methods and fault-tolerant control (FTC) have been the focus of intensive research across various fields to ensure safe operation, reduce costs, and optimize maintenance tasks. Unmanned aerial vehicles (UAVs), particularly quadcopters or quadrotors, are often prone to faults [...] Read more.
Fault detection and diagnosis (FDD) methods and fault-tolerant control (FTC) have been the focus of intensive research across various fields to ensure safe operation, reduce costs, and optimize maintenance tasks. Unmanned aerial vehicles (UAVs), particularly quadcopters or quadrotors, are often prone to faults in sensors and actuators due to their complex dynamics and exposure to various external uncertainties. In this context, this work implements different FDD approaches based on the Kalman filter (KF) for fault estimation to achieve FTC of the quadcopter, considering different faults with nonlinear behaviors and the possibility of simultaneous occurrences in actuators and sensors. Three KF approaches are considered in the analysis: linear KF, extended KF (EKF), and unscented KF (UKF), along with three-stage and adaptive variations of the KF. FDD methods, especially the adaptive filter, could enhance fault estimation performance in the scenarios considered. This led to a significant improvement in the safety and reliability of the quadcopter through the FTC architecture, as the system, which previously became unstable in the presence of faults, could maintain stable operation when subjected to uncertainties. Full article
(This article belongs to the Section Fault Diagnosis & Sensors)
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<p>Quadcopter structure and variables.</p>
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<p>Initial configuration of the quadcopter’s control system.</p>
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<p>FDD and FTC systems implemented for the quadcopter.</p>
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<p>Innovation of the fault sub-filter using ATsUKF.</p>
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<p>Estimation of sensor faults using ATsUKF.</p>
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<p>Estimation of actuator faults using ATsUKF.</p>
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<p>Displacement of the quadcopter subjected to actuator and sensor faults.</p>
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<p>Control signals generated in systems with (<b>a</b>) and without (<b>b</b>) FTC.</p>
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<p>Quadcopter displacement in the <span class="html-italic">xy</span> plane.</p>
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<p>Behavior of systems in the presence of lock-up sensor faults.</p>
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<p>Estimation of sensor lock-up faults.</p>
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<p>Behavior of systems in the presence of wind-generated disturbances.</p>
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<p>Fault estimations in (<b>a</b>) sensors and (<b>b</b>) actuators.</p>
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