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Search Results (318)

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Keywords = unknown control gain

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16 pages, 4067 KB  
Article
Gain-Adaptive Fault-Tolerant Control for High-Speed UAVs with Cascade Event-Triggered Mechanism
by Haoyu Zhao, Guoqing Zhang, Heye Xiao and Jiqiang Li
Drones 2026, 10(5), 341; https://doi.org/10.3390/drones10050341 (registering DOI) - 2 May 2026
Abstract
This paper presents a robust adaptive fault-tolerant control (FTC) strategy for the path-following maneuvering of a high-speed unmanned aerial vehicle (UAV) formation system. The designation integrates an actuator gain-adaptive mechanism which is capable of compensating partial loss of effectiveness and bias faults, with [...] Read more.
This paper presents a robust adaptive fault-tolerant control (FTC) strategy for the path-following maneuvering of a high-speed unmanned aerial vehicle (UAV) formation system. The designation integrates an actuator gain-adaptive mechanism which is capable of compensating partial loss of effectiveness and bias faults, with a cascaded event-triggered mechanism (ETM) that regulates both control-command updates and adaptation loops. To handle strong coupling and modeling uncertainties in the UAV dynamics, unknown nonlinear terms are approximated using a fuzzy logic system (FLS), and dynamic surface control (DSC) is employed to avoid differential explosion. A boundary-regulated intermediate control term further enhances robustness against time-varying gains. The cascaded ETM reduces communication and computation by enforcing update thresholds on control inputs and parameter-update signals. Lyapunov analysis establishes semi-global uniform ultimate boundedness of all closed-loop signals. Comparative simulations indicate improved tracking accuracy and reduced channel load relative to representative baselines. Full article
20 pages, 946 KB  
Article
Minimum-Entropy Optimal Control of Electromechanical Linkages for Energy Harvesting
by Meysam Fathizadeh and Hanz Richter
Entropy 2026, 28(5), 489; https://doi.org/10.3390/e28050489 (registering DOI) - 24 Apr 2026
Viewed by 122
Abstract
This work considers optimal mechanical–electrical power conversion across rigid linkages equipped with current-controlled actuators. A novel cost function derived from a generalization of the Second Law of Thermodynamics is adopted from our previous work, where cycle-averaged energies are interpreted as generalized temperatures. A [...] Read more.
This work considers optimal mechanical–electrical power conversion across rigid linkages equipped with current-controlled actuators. A novel cost function derived from a generalization of the Second Law of Thermodynamics is adopted from our previous work, where cycle-averaged energies are interpreted as generalized temperatures. A cost function based on generalized entropy generation is used to formulate an optimal control problem yielding a decoupled velocity feedback controller. Suboptimal gains are found, which are independent of both the excitation characteristics and the mechanical subsystem dynamics, and yield closed-loop stability. The effectiveness and simplicity of the resulting controller is demonstrated by a Monte Carlo simulation study, where random episodes of unknown, periodic forcing are applied under the proposed controller and compared with a maximum-efficiency controller. Results show that the proposed controller offers a higher statistical expectation for the average harvested power. Full article
(This article belongs to the Section Multidisciplinary Applications)
29 pages, 3351 KB  
Article
Guidance Navigation and Control for Quadrotor UAV Using Lyapunov-Based Backstepping
by Jurek Z. Sasiadek, Ammar Shuker and Malik M. A. Al-Isawi
Sensors 2026, 26(9), 2611; https://doi.org/10.3390/s26092611 - 23 Apr 2026
Viewed by 177
Abstract
Quadrotor UAVs present a significant control challenge due to their underactuated nature; strong coupling effects; nonlinear dynamics; and high sensitivity to unknown effect parameters, external disturbances, and uncertainties. To address this issue, this study proposes a Lyapunov-based backstepping (LYP) controller that ensures robust [...] Read more.
Quadrotor UAVs present a significant control challenge due to their underactuated nature; strong coupling effects; nonlinear dynamics; and high sensitivity to unknown effect parameters, external disturbances, and uncertainties. To address this issue, this study proposes a Lyapunov-based backstepping (LYP) controller that ensures robust stability and precise trajectory tracking. The controller employs an inner- and outer-loop architecture for coupled position and attitude control. Its performance is compared with Proportional–Integral–Derivative (PID) and Fractional-Order PID (FOPID) controllers under three scenarios: nominal conditions, external disturbances, and model parameter uncertainties. All controller gains are optimized using Particle Swarm Optimization (PSO). Simulation results, which are evaluated using time-domain metrics and root mean square error (RMSE), demonstrate that the proposed LYP controller achieves superior robustness, faster disturbance rejection, and improved tracking accuracy compared to both PID and FOPID controllers. Full article
(This article belongs to the Section Navigation and Positioning)
25 pages, 1772 KB  
Article
Optimized Lyapunov-Theory-Based Filter for MIMO Time-Varying Uncertain Nonlinear Systems with Measurement Noises Using Multi-Dimensional Taylor Network
by Chao Zhang, Zhimeng Li and Ziao Li
Appl. Syst. Innov. 2026, 9(4), 79; https://doi.org/10.3390/asi9040079 - 16 Apr 2026
Viewed by 492
Abstract
Minimizing the impacts of coupling, randomness, time variation and uncertain nonlinearity to enhance real-time performance is critical for controlling complex industrial systems. This paper proposes an optimized adaptive filtering method (LAF-MTNF) for time-varying uncertain nonlinear systems with multiple-input multiple-output (MIMO) measurement noise, which [...] Read more.
Minimizing the impacts of coupling, randomness, time variation and uncertain nonlinearity to enhance real-time performance is critical for controlling complex industrial systems. This paper proposes an optimized adaptive filtering method (LAF-MTNF) for time-varying uncertain nonlinear systems with multiple-input multiple-output (MIMO) measurement noise, which integrates the multi-dimensional Taylor network (MTN) with Lyapunov stability theory (LST). Leveraging MTN’s inherent advantages—simple structure, linear parameterization, and low computational complexity—LAF-MTNF achieves efficient real-time filtering while avoiding the exponential computation burden of neural networks. The contributions of this work are threefold: (1) A novel integration of LST and MTN is proposed for MIMO filtering, in which an energy space is constructed with a unique global minimum to eliminate local optimization traps, addressing the stability deficit of traditional MTN filters using LMS/RLS algorithms. (2) Convergence performance is systematically quantified by deriving explicit expressions for the error convergence rate (regulated by a positive constant) and convergence region (a sphere centered at the origin) while modifying adaptive gain to avoid singularity, filling the gap of incomplete performance analysis in existing Lyapunov-based filters. (3) The design is disturbance-independent, relying only on input/output measurements and requiring no prior knowledge of noise statistics, thus enhancing robustness to unknown industrial disturbances. We systematically analyze the Lyapunov stability of LAF-MTNF, and simulations on a complex MIMO system verify that it outperforms existing methods in filtering precision (mean error 0.0227 vs. 0.0674 of RBFNN) and dynamic response speed, while ensuring asymptotic stability and real-time applicability. The proposed LAF-MTNF method achieves significant advantages over traditional adaptive filtering methods in filtering accuracy, convergence speed and anti-cross-coupling capability. This method has broad application prospects in high-precision industrial servo motion control, power system state monitoring and other multi-variable nonlinear industrial scenarios with complex noise environments. Full article
(This article belongs to the Section Control and Systems Engineering)
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19 pages, 4146 KB  
Article
A Data-Driven Predictive Fuzzy Adaptive Control for Nonlinearly Parameterized Systems with Unknown Disturbance
by Hongyun Yue, Dongpeng Xue, Yi Zhao and Jiaqi Wang
Mathematics 2026, 14(8), 1271; https://doi.org/10.3390/math14081271 - 11 Apr 2026
Viewed by 198
Abstract
Problem: Controlling nonlinearly parameterized systems with unknown disturbances remains challenging because classical adaptive approaches rely on separation-of-variables and reparameterization techniques, leading to increased parameter dimensions, conservative stability bounds, and implementation complexity. Objective: This paper develops a data-driven predictive fuzzy adaptive control (DD-PFAC) framework [...] Read more.
Problem: Controlling nonlinearly parameterized systems with unknown disturbances remains challenging because classical adaptive approaches rely on separation-of-variables and reparameterization techniques, leading to increased parameter dimensions, conservative stability bounds, and implementation complexity. Objective: This paper develops a data-driven predictive fuzzy adaptive control (DD-PFAC) framework that eliminates the need for separation techniques while achieving superior tracking performance and formally certified stability. Novelty: The key innovation is a two-layer architecture. Layer 1 provides direct fuzzy approximation of composite nonlinear functions (system dynamics plus disturbance bound) without parameter reparameterization, reducing parameter complexity from O(qn) to O(nN). Layer 2 employs Hankel matrix-based predictive optimization to adaptively tune both control gains ci(k) and adaptation rates γi(k) online using 80–150 recent input–output samples. Methodology: A Lyapunov function augmented with a prediction-error term is used to prove uniform ultimate boundedness of all closed-loop signals. A projection-based recursive least-squares algorithm updates the gain parameters online while guaranteeing ci(k)cmin>0 at all times. Results: Comparative simulations demonstrate 31.4% reduction in integral square error, 27.8% reduction in mean absolute error, and 37.4% reduction in steady-state error versus traditional adaptive fuzzy control. A four-group ablation study confirms that adaptive gain scheduling contributes 27.7% and predictive compensation contributes 6.5% to the total MAE improvement. Robustness tests validate consistent 28–32% performance advantage across sinusoidal, pulse, step, and large-disturbance scenarios. Full article
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20 pages, 1782 KB  
Article
N-Acetylcysteine Prevents Arsenic-Induced Apoptosis but Not Supernumerary Motor Neuron Development in Zebrafish Embryos: Assessment of Protein Carbonylation and the p53 Pathway
by Qiang Gu, Camila S. Silva, Nathan C. Twaddle, Frederick A. Beland and Jyotshna Kanungo
Int. J. Mol. Sci. 2026, 27(7), 3263; https://doi.org/10.3390/ijms27073263 - 3 Apr 2026
Viewed by 621
Abstract
Arsenic induces apoptosis in both cancerous and non-cancerous cells. The mechanism of arsenic-induced apoptosis is complex. We previously demonstrated that the antioxidant acetyl L-carnitine prevented sodium arsenite-induced apoptosis in zebrafish embryos. To gain more insight into the mechanism of arsenic-induced apoptosis, we explored [...] Read more.
Arsenic induces apoptosis in both cancerous and non-cancerous cells. The mechanism of arsenic-induced apoptosis is complex. We previously demonstrated that the antioxidant acetyl L-carnitine prevented sodium arsenite-induced apoptosis in zebrafish embryos. To gain more insight into the mechanism of arsenic-induced apoptosis, we explored the effect of another antioxidant, N-acetylcysteine (NAC). Co-treatment of sodium arsenite with 1 or 2 mM NAC had no effect on zebrafish development. There was a significant but partial reduction in apoptosis in the embryos co-treated with sodium arsenite and 1 mM NAC, while embryos treated with 1 mM NAC alone showed the loss of normal apoptosis that was observed in the control embryos. Complete abolition of apoptosis occurred in embryos co-treated with sodium arsenite and 2 mM NAC; however, 2 mM NAC alone resulted in 100% mortality, indicating antioxidant toxicity at high doses. NAC (1 mM) did not prevent sodium arsenite-induced increase in motor neurons, suggesting that arsenic-induced apoptosis and supernumerary motor neuron development are mediated via distinct pathways. To determine whether NAC prevented arsenic-induced apoptosis via reactive oxygen species (ROS) signaling, we assessed ROS levels and oxidative modification of proteins (carbonylation) using an OxyBlot assay. Neither sodium arsenite nor NAC altered protein oxidation, ROS levels, or p53, a pro-apoptotic protein, transcript levels. Additionally, dicoumarol, an inducer of p53 protein degradation, did not inhibit sodium arsenite-induced apoptosis. These results indicate that protein oxidation and p53 signaling are not involved in arsenic-induced apoptosis and that NAC prevents arsenic toxicity in zebrafish embryos through a hitherto unknown mechanism. Full article
(This article belongs to the Special Issue Zebrafish: A Model Organism for Human Health and Disease: 2nd Edition)
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24 pages, 1930 KB  
Article
Global Fuzzy Adaptive Consensus for Uncertain Nonlinear Multi-Agent Systems with Unknown Control Directions
by Jin Xie, Yutian Wei and Juan Sun
Symmetry 2026, 18(3), 521; https://doi.org/10.3390/sym18030521 - 18 Mar 2026
Viewed by 294
Abstract
This paper investigates the consensus problem for a class of uncertain nonlinear multi-agent systems (MASs) subject to external disturbances with unknown control directions (UCDs). A novel control scheme integrating Nussbaum-type gain is proposed to actively compensate for UCDs, while fuzzy logic systems (FLSs) [...] Read more.
This paper investigates the consensus problem for a class of uncertain nonlinear multi-agent systems (MASs) subject to external disturbances with unknown control directions (UCDs). A novel control scheme integrating Nussbaum-type gain is proposed to actively compensate for UCDs, while fuzzy logic systems (FLSs) are embedded in a feed-forward compensator to approximate unknown nonlinear dynamics, thereby achieving global stability. The proposed distributed control laws ensure global asymptotic convergence for both first- and second-order MASs through Lyapunov stability analysis. By implementing a strategic reparameterization technique, this scheme systematically reduces computational complexity, requiring each agent to adapt only a minimal parameter set. Moreover, the framework is extended to address complex formation control tasks. Comprehensive simulations validate the efficacy of the theoretical findings. Full article
(This article belongs to the Special Issue Symmetry and Asymmetry in Control Science)
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22 pages, 803 KB  
Article
Hierarchical Reinforcement Learning–Based Optimal Control for Model-Free Linear Systems
by Yong Zhang, Xiangrui Yan, Weiqing Yang and Yuyang Zhou
Mathematics 2026, 14(5), 895; https://doi.org/10.3390/math14050895 - 6 Mar 2026
Viewed by 534
Abstract
A novel model-free hierarchical reinforcement learning (HRL)–based Linear Quadratic Regulator (LQR) control framework with adaptive weight selection is proposed to address the reliance of conventional LQR methods on accurate system models and manual parameter tuning. The proposed approach adopts a two-level learning architecture [...] Read more.
A novel model-free hierarchical reinforcement learning (HRL)–based Linear Quadratic Regulator (LQR) control framework with adaptive weight selection is proposed to address the reliance of conventional LQR methods on accurate system models and manual parameter tuning. The proposed approach adopts a two-level learning architecture in which a high-level meta-agent adaptively optimizes the LQR weighting matrices Q and R through entropy-based trajectory evaluation, while a low-level base-agent performs model-free policy iteration to update the state-feedback control law under unknown system dynamics. By decoupling weight optimization from control-law learning, the framework enables simultaneous adaptation of the cost-function parameters and the feedback gain without requiring explicit model information. To enhance learning stability and exploration during weight adaptation, Gaussian noise and an experience replay mechanism are incorporated into the learning process. Numerical simulations on second- and third-order linear systems demonstrate that the proposed HRL-based LQR method achieves effective control performance, reliable convergence, and improved adaptability in model-free environments. Full article
(This article belongs to the Special Issue Dynamic Modeling and Simulation for Control Systems, 3rd Edition)
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33 pages, 6279 KB  
Article
Maximum Power Extraction from a PMSG-Based Standalone WECS via Neuro-Adaptive Fuzzy Fractional Order Super-Twisting Sliding Mode Control Approach with High Gain Differentiator
by Ameen Ullah, Safeer Ullah, Umair Hussan, Dapeng Zheng, Danyang Bao and Xuewei Pan
Fractal Fract. 2026, 10(3), 158; https://doi.org/10.3390/fractalfract10030158 - 28 Feb 2026
Viewed by 411
Abstract
Maximum Power Point Tracking (MPPT) in permanent-magnet synchronous generator (PMSG)-based wind energy conversion systems (WECS) remains challenging owing to strong nonlinearities, parametric uncertainties, and external disturbances. Conventional sliding mode control (SMC) strategies, while robust, suffer from chattering, dependence on full-state measurements, and degraded [...] Read more.
Maximum Power Point Tracking (MPPT) in permanent-magnet synchronous generator (PMSG)-based wind energy conversion systems (WECS) remains challenging owing to strong nonlinearities, parametric uncertainties, and external disturbances. Conventional sliding mode control (SMC) strategies, while robust, suffer from chattering, dependence on full-state measurements, and degraded performance under model mismatch, limiting their practical deployment. To address these issues, this study proposes a neuroadaptive fuzzy fractional-order super-twisting sliding mode control (Fuzzy-FOSTSMC) integrated with a high-gain observer (HGO) and a radial basis function neural network (RBFNN). The HGO estimates unmeasurable higher-order states (e.g., angular acceleration), enabling output-feedback implementation. In contrast, the RBFNN online approximates unknown nonlinear system dynamics Lf2h(x) and LgLfh(x), rendering the controller model-free. Chattering is eliminated by replacing the discontinuous signum function with an adaptive fuzzy boundary layer that dynamically modulates the slope near the sliding surface. Stability is theoretically confirmed by Lyapunov analysis. Extensive MATLAB/Simulink simulations verify that the proposed approach yields a tracking precision of 99.96%, a steady-state speed error of 0.018 rad/s, and a 58.2% reduction in the integral absolute error (IAE) compared to the traditional FOSTSMC. It achieves the optimal power coefficient (Cp=0.4762) via TSR control at 7.000±0.002, under ±30% parametric uncertainties, demonstrating excellent robustness and MPPT effectiveness. Full article
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22 pages, 2982 KB  
Article
Adaptive Asymptotic Tracking Control of MIMO Nonlinear Systems Subject to Asymmetric Full-State Constraints: A Removing Feasibility Condition Approach
by Min Zhang, Kun Jiang, Baiyu Li, Muyu Li and Zhannan Guo
Mathematics 2026, 14(5), 806; https://doi.org/10.3390/math14050806 - 27 Feb 2026
Viewed by 282
Abstract
This work develops an adaptive control scheme for MIMO nonlinear non-lower-triangular systems with asymmetric full-state constraints and unknown gain functions. First, in order to maintain the state constraints, a function that depends solely on the states of the system is proposed to replace [...] Read more.
This work develops an adaptive control scheme for MIMO nonlinear non-lower-triangular systems with asymmetric full-state constraints and unknown gain functions. First, in order to maintain the state constraints, a function that depends solely on the states of the system is proposed to replace the traditional Lyapunov barrier function that relies on the error signal. By means of an affine transformation, the original system is reconstructed to the current system that releases prior knowledge of the gain functions and removes the state constraints. Second, a coordinate transformation is introduced and integrated into each step of the adaptive control design procedure, which circumvents the feasibility condition for intermediate input signals. Under the developed control strategy, all system states are bounded and remain within constraint sets at any moment. Simultaneously, the output signals asymptotically track the reference trajectories to zero. Finally, the feasibility of the presented strategy is demonstrated based on simulation examples. Full article
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18 pages, 2304 KB  
Article
Nonlinear Gains Recursive Sliding Mode Dynamic Positioning of Ships with Uncertainties and Input Saturation
by Fuwen Su and Huajun Zhang
J. Mar. Sci. Eng. 2026, 14(4), 369; https://doi.org/10.3390/jmse14040369 - 14 Feb 2026
Viewed by 357
Abstract
To address dynamic positioning (DP) challenges encountered by ships navigating amid unknown model parameters, environmental disturbances, and input saturation, this study proposes a nonlinear gains recursive sliding mode (RSM) DP control law. Within this control framework, an RSM strategy is devised, leveraging variable-gain [...] Read more.
To address dynamic positioning (DP) challenges encountered by ships navigating amid unknown model parameters, environmental disturbances, and input saturation, this study proposes a nonlinear gains recursive sliding mode (RSM) DP control law. Within this control framework, an RSM strategy is devised, leveraging variable-gain technology to enhance DP system control performance. A variable-gain adaptive radial basis function (RBF) neural network is employed for real-time online training to approximate the unknown ship model. Simultaneously, an auxiliary dynamic system is incorporated to deal with input saturation. Furthermore, a robust control item is implemented to counteract the influence of RBF neural network approximation errors and external disturbances on the DP system. By constructing an appropriate Lyapunov function, it is proven that all signals in the DP closed-loop control system are uniformly ultimately bounded. Finally, simulation results demonstrate the ship DP system’s rapid response and high accuracy under the proposed control law, along with an enhanced ability to reject environmental disturbances. Full article
(This article belongs to the Section Ocean Engineering)
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17 pages, 3819 KB  
Article
Synergistic Effects of Plant Essential Oils and Extracts on Gut Microbiota in Rats
by Manasweeta Angane, Gunaranjan Paturi, Christine A. Butts and Siew Young Quek
Foods 2026, 15(2), 358; https://doi.org/10.3390/foods15020358 - 19 Jan 2026
Viewed by 580
Abstract
The application of essential oils and plant extracts as natural food preservatives has gained increasing interest; however, their potential impacts on gut health and host physiology remain unknown. This study evaluated the effects of synergistic combinations of peppermint essential oil (EO) + thyme [...] Read more.
The application of essential oils and plant extracts as natural food preservatives has gained increasing interest; however, their potential impacts on gut health and host physiology remain unknown. This study evaluated the effects of synergistic combinations of peppermint essential oil (EO) + thyme EO and peppermint EO + feijoa peel extract on gut microbiota composition and colonic morphology in a rat model. Sprague–Dawley rats were orally given the synergistic combinations daily for 28 days, and their effects were assessed using 16S rRNA gene sequencing of the caecum microbiota and histological analysis of proximal colon tissues. Alpha diversity metrics showed no significant differences (p > 0.05) between treatment and control groups, and beta diversity indicated no treatment-related shift in the bacterial communities. Taxonomic profiling at the phylum, family, and genus levels showed comparable relative abundances of dominant microbial taxa across all treatments, with no evidence of dysbiosis. Histological examination of proximal colon tissues revealed no significant changes in crypt depth between treated and control groups, confirming the absence of adverse morphological effects on the intestinal epithelium. The results of this study indicate that synergistic combinations of peppermint EO, thyme EO, and feijoa peel extract do not adversely affect the gut microbiota composition and colonic morphology in rats, thereby supporting their application as preservatives in foods. Full article
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28 pages, 3614 KB  
Article
RBF-NN Supervisory Integral Sliding Mode Control for Motor Position Tracking with Reduced Switching Gain
by Young Ik Son and Haneul Cho
Actuators 2026, 15(1), 29; https://doi.org/10.3390/act15010029 - 3 Jan 2026
Viewed by 413
Abstract
Integral Sliding Mode Control (ISMC) is widely employed in motor position control systems due to its robustness against uncertainties. However, its control performance is critically dependent on the selection of the switching gain. Although Disturbance Observer-Based Control (DOBC) is commonly adopted as an [...] Read more.
Integral Sliding Mode Control (ISMC) is widely employed in motor position control systems due to its robustness against uncertainties. However, its control performance is critically dependent on the selection of the switching gain. Although Disturbance Observer-Based Control (DOBC) is commonly adopted as an effective alternative for uncertainty compensation, it may exhibit limitations when high gains are required, potentially leading to system instability. To address these issues, this study proposes a Radial Basis Function Neural Network (RBF-NN)-based supervisory learning approach designed to minimize switching gain requirements. The effectiveness of the proposed scheme is validated through comparative simulations and laboratory experiments, specifically under scenarios involving system parameter uncertainties and sinusoidal disturbances with unknown offsets. Both simulation and experimental results demonstrate the superior performance of the proposed RBF-NN approach in terms of switching gain reduction and tracking error norms compared to a conventional ISMC and a DOBC-based cascade P–PI controller. Full article
(This article belongs to the Special Issue Actuators in 2025)
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30 pages, 15035 KB  
Article
Adaptive Non-Singular Fast Terminal Sliding Mode Trajectory Tracking Control for Robotic Manipulator with Novel Configuration Based on TD3 Deep Reinforcement Learning and Nonlinear Disturbance Observer
by Huaqiang You, Yanjun Liu, Zhenjie Shi, Zekai Wang, Lin Wang and Gang Xue
Sensors 2026, 26(1), 297; https://doi.org/10.3390/s26010297 - 2 Jan 2026
Viewed by 830
Abstract
This work proposes a non-singular fast terminal sliding mode control (NFTSMC) strategy based on the Twin Delayed Deep Deterministic Policy Gradient (TD3) algorithm and a nonlinear disturbance observer (NDO) to address the issues of modeling errors, motion disturbances, and transmission friction in robotic [...] Read more.
This work proposes a non-singular fast terminal sliding mode control (NFTSMC) strategy based on the Twin Delayed Deep Deterministic Policy Gradient (TD3) algorithm and a nonlinear disturbance observer (NDO) to address the issues of modeling errors, motion disturbances, and transmission friction in robotic manipulators. Firstly, a novel modular serial 5-DOF robotic manipulator configuration is designed, and its kinematic and dynamic models are established. Secondly, a nonlinear disturbance observer is employed to estimate the total disturbance of the system and apply feedforward compensation. Based on boundary layer technology, an improved NFTSMC method is proposed to accelerate the convergence of tracking errors, reduce chattering, and avoid singularity issues inherent in traditional terminal sliding mode control. The stability of the designed control system is proved using Lyapunov stability theory. Subsequently, a deep reinforcement learning (DRL) agent based on the TD3 algorithm is trained to adaptively adjust the control gains of the non-singular fast terminal sliding mode controller. The dynamic information of the robotic manipulator is used as the input to the TD3 agent, which searches for optimal controller parameters within a continuous action space. A composite reward function is designed to ensure the stable and efficient learning of the TD3 agent. Finally, the motion characteristics of three joints for the designed 5-DOF robotic manipulator are analyzed. The results show that compared to the non-singular fast terminal sliding mode control algorithm based on a nonlinear disturbance observer (NDONFT), the non-singular fast terminal sliding mode control algorithm integrating a nonlinear disturbance observer and the Twin Delayed Deep Deterministic Policy Gradient algorithm (TD3NDONFT) reduces the mean absolute error of position tracking for the three joints by 7.14%, 19.94%, and 6.14%, respectively, and reduces the mean absolute error of velocity tracking by 1.78%, 9.10%, and 2.11%, respectively. These results verify the effectiveness of the proposed algorithm in enhancing the trajectory tracking accuracy of the robotic manipulator under unknown time-varying disturbances and demonstrate its strong robustness against sudden disturbances. Full article
(This article belongs to the Section Sensors and Robotics)
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29 pages, 4333 KB  
Article
Design and Sensorless Control in Dual Three-Phase PM Vernier Motors for 5 MW Ship Propulsion
by Vahid Teymoori, Nima Arish, Hossein Dastres, Maarten J. Kamper and Rong-Jie Wang
World Electr. Veh. J. 2025, 16(12), 670; https://doi.org/10.3390/wevj16120670 - 11 Dec 2025
Viewed by 657
Abstract
Advancements in ship propulsion technologies are essential for improving the efficiency and reliability of maritime transportation. This study introduces a comprehensive approach that integrates motor design with sensorless control strategies, specifically focusing on Dual Three-Phase Permanent Magnet Vernier Motors (DTP-PMVM) for ship propulsion. [...] Read more.
Advancements in ship propulsion technologies are essential for improving the efficiency and reliability of maritime transportation. This study introduces a comprehensive approach that integrates motor design with sensorless control strategies, specifically focusing on Dual Three-Phase Permanent Magnet Vernier Motors (DTP-PMVM) for ship propulsion. The initial section of the paper explores the design of a 5-MW DTP-PMVM using finite element method (FEM) analysis in dual three-phase configurations. The subsequent section presents a novel sensorless control technique employing a Prescribed-time Sliding Mode Observer (PTSMO) for accurate speed and position estimation of the DTP-PMSM, eliminating the need for physical sensors. The proposed observer convergence time is entirely independent of the initial estimation guess and observer gains, allowing for pre-adjustment of the estimation error settling time. Initially, the observer is designed for a DTP-PMVM with fully known model parameters. It is then adapted to accommodate variations and unknown parameters over time, achieving prescribed-time observation. This is accomplished by using an adaptive observer to estimate the unknown parameters of the DTP-PMVM model and a Neural Network (NN) to compensate for the nonlinear effects caused by the model’s unknown terms. The adaptation laws are innovatively modified to ensure the prescribed time convergence of the entire adaptive observer. MATLAB (R2023b) Simulink simulations demonstrate the superior speed-tracking accuracy and robustness of the speed and position observer against model parameter variations, strongly supporting the application of these strategies in real-world maritime propulsion systems. By integrating these advancements, this research not only proposes a more efficient, reliable, and robust propulsion motor design but also demonstrates an effective control strategy that significantly enhances overall system performance, particularly for maritime propulsion applications. Full article
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