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Keywords = adaptive terminal sliding mode control

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19 pages, 2816 KB  
Article
Improved Piecewise Terminal Integral Sliding-Mode Adaptive Control for PMSM Speed Regulation in Rail Transit Traction
by Jiahui Wang, Zhongli Wang and Jingyu Zhang
Energies 2026, 19(8), 1992; https://doi.org/10.3390/en19081992 (registering DOI) - 21 Apr 2026
Abstract
Aiming at solving the problems of severe chattering, irreconcilable convergence speed, and steady-state accuracy in traditional sliding-mode control (SMC) for the speed regulation system of permanent magnet synchronous motors (PMSMs) in rail transit traction, as well as its poor adaptability to complex disturbances [...] Read more.
Aiming at solving the problems of severe chattering, irreconcilable convergence speed, and steady-state accuracy in traditional sliding-mode control (SMC) for the speed regulation system of permanent magnet synchronous motors (PMSMs) in rail transit traction, as well as its poor adaptability to complex disturbances such as frequent acceleration/deceleration and sudden load changes under traction conditions, a sliding-mode control strategy integrating improved piecewise terminal integral sliding-mode control (IPTISMC) with an adaptive smooth exponential reaching law (ASERL) is proposed. Taking the surface-mounted PMSM for rail transit traction as the research object, the d-q axis mathematical model is established, and a terminal integral sliding surface with a piecewise nonlinear function is designed, which resolves the problems of complex solutions and steady-state errors of the traditional sliding surface through a piecewise cooperative mechanism for large and small error stages. The designed ASERL realizes adaptive gain adjustment based on the state variables of the sliding surface and replaces the sign function with the hyperbolic tangent function, thus alleviating the inherent contradiction between convergence and chattering in the fixed-gain reaching law. The global stability and finite-time convergence of the system are rigorously proved based on Lyapunov stability theory. Furthermore, comparative experiments involving no-load operation, acceleration and deceleration, sudden load application and removal, and parameter perturbation are carried out on a DSP experimental platform for SMC-ERL, ISMC-ERL, IPTISMC-ERL and the proposed IPTISMC-ASERL. Experimental results show that the proposed IPTISMC-ASERL strategy can significantly improve the dynamic response and steady-state control accuracy of the PMSM speed regulation system for rail transit traction, effectively suppress chattering to enhance riding comfort, and simultaneously strengthen the system’s anti-disturbance capability and parametric robustness. It can fully meet the engineering control requirements for high precision and high stability of PMSMs in rail transit traction applications. Full article
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31 pages, 1695 KB  
Article
Robust Adaptive Position Control of PMSM Actuators for High-Speed Flight Vehicles Under Thermal Extremes
by Kunfeng Zhang, Tieniu Chen, Zhi Li, Fei Wu and Binqiang Si
Electronics 2026, 15(8), 1742; https://doi.org/10.3390/electronics15081742 - 20 Apr 2026
Abstract
Permanent magnet synchronous motor (PMSM)-driven position servo systems in high-speed flight vehicles face severe challenges from extreme thermal environments, which induce significant parameter variations up to 25% (e.g., motor torque constant) and complex multi-scale disturbances. This paper proposes a novel adaptive robust control [...] Read more.
Permanent magnet synchronous motor (PMSM)-driven position servo systems in high-speed flight vehicles face severe challenges from extreme thermal environments, which induce significant parameter variations up to 25% (e.g., motor torque constant) and complex multi-scale disturbances. This paper proposes a novel adaptive robust control strategy integrating three key components: (1) an ultra-local model formulation motivated by physically consistent thermal effect analysis of electromagnetic, mechanical, and tribological parameters; (2) a dual-layer disturbance observer architecture comprising a third-order finite-time convergent extended state observer (FTCESO) for fast-varying disturbances and a σ-modification adaptive estimator for slow-varying thermal drifts; and (3) a global nonlinear integral terminal sliding mode controller with a cycloidal reaching law. Stability analysis based on homogeneous system theory and Lyapunov methods establishes practical finite-time convergence with explicit bounds. The experimental results on a TMS320F28335-based servo platform demonstrate that the proposed method reduces the maximum position deviation by 83–94% compared to PID, LADRC, and conventional SMC controllers under the tested disturbance conditions, achieving settling time reductions exceeding 90%. Under combined thermal drift and external loading, the proposed approach limits the maximum tracking error to below 0.45° while maintaining a steady-state error under 0.08°. Full article
22 pages, 3101 KB  
Article
Model-Free Non-Singular Fast Terminal Sliding Mode Control Based on Agricultural Unmanned Aerial Vehicle Electrical Control System
by Mingyuan Hu, Longhui Qi, Changning Wei, Lei Zhang, Yaqing Gu, Bo Gao, Yang Liu and Dongjun Zhang
Symmetry 2026, 18(4), 678; https://doi.org/10.3390/sym18040678 - 18 Apr 2026
Viewed by 73
Abstract
Permanent magnet synchronous motors (PMSMs) are widely used in agricultural unmanned aerial vehicle (UAV) electromechanical systems for their high efficiency and power density. While sliding mode control (SMC) offers robustness for PMSM drives, conventional designs face challenges like slow convergence, singularity, and chattering. [...] Read more.
Permanent magnet synchronous motors (PMSMs) are widely used in agricultural unmanned aerial vehicle (UAV) electromechanical systems for their high efficiency and power density. While sliding mode control (SMC) offers robustness for PMSM drives, conventional designs face challenges like slow convergence, singularity, and chattering. This paper proposes a model-free improved non-singular fast terminal SMC scheme with an improved adaptive super-twisting algorithm and a disturbance observer (MFINFTSMC-IADSTA-IFTSMO) for agricultural UAV applications. The designed sliding surface ensures fixed-time convergence without singularity, the adaptive reaching law reduces chattering, and the observer enables feedforward compensation of disturbances. Closed-loop stability is proven via Lyapunov theory. DSP-based experiments demonstrate that the proposed method outperforms existing SMC variants in dynamic response, steady-state accuracy, chattering suppression, and disturbance rejection. Specifically, the proposed method achieves a start-up convergence time of only 0.35 s, which is 56.25% shorter than that of the classic SMC-STA method, fully verifying its superior fast convergence performance. Full article
(This article belongs to the Special Issue Symmetry/Asymmetry in Control Theory)
21 pages, 1718 KB  
Article
Anti-Disturbance Trajectory Tracking Control for Quadrotor UAVs Based on Radial Basis Function Neural Network and Integral Terminal Sliding Mode Control
by Xizhao Zhang and Shaohua Niu
Mathematics 2026, 14(8), 1332; https://doi.org/10.3390/math14081332 - 15 Apr 2026
Viewed by 206
Abstract
Quadrotor unmanned aerial vehicles (UAVs) operating in complex and dynamic environments, especially when subjected to unknown disturbances such as wind, can experience significant degradation in the stability of trajectory tracking control. Current research on UAV control has proposed algorithms that exhibit good disturbance [...] Read more.
Quadrotor unmanned aerial vehicles (UAVs) operating in complex and dynamic environments, especially when subjected to unknown disturbances such as wind, can experience significant degradation in the stability of trajectory tracking control. Current research on UAV control has proposed algorithms that exhibit good disturbance rejection capabilities for small and weak disturbances, but their effectiveness decreases significantly as the disturbance magnitude increases. To address this issue, this paper proposes a hybrid control strategy that combines a Radial Basis Function Neural Network (RBFNN) with Integral Terminal Sliding Mode Control (ITSMC). The RBFNN is designed as an online disturbance observer, capable of estimating and compensating external disturbance forces and torques in real time, with an adaptive weight law. The ITSMC utilizes an integral term to eliminate steady-state errors and a terminal sliding mode term to achieve finite-time convergence of tracking errors. Simulation results demonstrate that the proposed controller maintains high-precision trajectory tracking and attitude control performance under various disturbance conditions, exhibiting strong robustness and anti-disturbance capability, and outperforms other controllers in overall performance. Full article
(This article belongs to the Section E2: Control Theory and Mechanics)
36 pages, 7620 KB  
Article
Unified Modulation Matrix-Based Shared Control for Teleoperated Multi-Robot Formation and Obstacle Avoidance
by Ruidong Chen, Zhuoyue Zhang, Zhiyao Zhang, Jinyan Li and Haochen Zhang
Sensors 2026, 26(8), 2387; https://doi.org/10.3390/s26082387 - 13 Apr 2026
Viewed by 471
Abstract
Multi-omnidirectional mobile robot formations offer significant advantages for applications in unstructured environments. However, under constraints such as limited field of view and high operator cognitive load, existing teleoperation frameworks struggle to guarantee formation safety and stability. In this study, a bilateral shared control [...] Read more.
Multi-omnidirectional mobile robot formations offer significant advantages for applications in unstructured environments. However, under constraints such as limited field of view and high operator cognitive load, existing teleoperation frameworks struggle to guarantee formation safety and stability. In this study, a bilateral shared control framework for multi-robot formation that integrates intent perception and vortex-field modulation is proposed. First, an Intent-Mediated Asymmetric Vortex Modulation (IM-AVM) strategy is developed, where the operator’s micro-intentions are mapped to determine the topological orientation of a vortex field. By constructing a dynamic asymmetric modulation matrix, saddle points in the potential field are geometrically eliminated, enabling deadlock-free obstacle avoidance while maintaining a rigid formation. Second, a multi-dimensional perception-based dynamic authority arbitration and topological deadlock escape mechanism is constructed, facilitating a seamless transition from assisted deadlock to autonomous escape. Finally, a formation coordination system based on anisotropic flow field modulation and adaptive sliding mode control is designed. Rigid formation constraints are transformed into a tangential safe flow field, and robust tracking is subsequently achieved through an Adaptive Nonsingular Fast Terminal Sliding Mode Controller (ANFTSMC). Theoretical analysis and experimental results demonstrate that the proposed framework achieves collision-free navigation for the formation in simulated environments. Full article
(This article belongs to the Section Sensors and Robotics)
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21 pages, 1059 KB  
Article
A System-Level Framework Linking Actuator Control Accuracy to Energy Efficiency and Range Performance in PMSM-Driven Flight Control Systems
by Tieniu Chen, Xiaozhou He, Yunjiang Lou, Houde Liu and Kunfeng Zhang
Electronics 2026, 15(8), 1555; https://doi.org/10.3390/electronics15081555 - 8 Apr 2026
Viewed by 244
Abstract
Permanent magnet synchronous motor (PMSM)-based servo actuators are fundamental to high-performance electromechanical systems. However, in energy-sensitive aerospace applications, the impact of tracking error on system-level efficiency remains insufficiently quantified. This paper establishes an energy-oriented analytical framework linking PMSM tracking accuracy to vehicle-level energy [...] Read more.
Permanent magnet synchronous motor (PMSM)-based servo actuators are fundamental to high-performance electromechanical systems. However, in energy-sensitive aerospace applications, the impact of tracking error on system-level efficiency remains insufficiently quantified. This paper establishes an energy-oriented analytical framework linking PMSM tracking accuracy to vehicle-level energy consumption and flight range. By employing a specific mechanical energy formulation, we demonstrate that tracking deviations modify aerodynamic drag and introduce additional dissipative work. Specifically, the accumulated dissipation is shown to admit a lower bound proportional to the integral of the squared tracking error, from which a range degradation bound is derived. These results reveal that “tracking-error energy” imposes a fundamental limit on achievable flight distance. A Lyapunov-based analysis further proves that minimizing this error energy reduces total aerodynamic dissipation without requiring modifications to propulsion scheduling or guidance laws. Numerical simulations comparing a conventional sliding mode controller with an advanced fuzzy-adaptive nonsingular terminal sliding mode controller confirm that enhanced servo precision directly improves velocity retention and range performance. This framework offers practical insights for designing energy-aware PMSM control strategies in energy-constrained aerospace platforms. Full article
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25 pages, 2828 KB  
Article
Adaptive Nonsingular Fast Terminal Sliding Mode Control for Space Robot Based on Wavelet Neural Network Under Lumped Uncertainties
by Junwei Mei, Yawei Zheng, Haiping Ai, Feilong Xiong, An Zhu and Xiaodong Fu
Aerospace 2026, 13(4), 334; https://doi.org/10.3390/aerospace13040334 - 2 Apr 2026
Viewed by 257
Abstract
This paper proposes an adaptive wavelet neural network nonsingular fast terminal sliding mode control strategy based on a finite-time framework for a space robot system under external disturbances and model uncertainties. Firstly, the dynamic model of space robot is established based on the [...] Read more.
This paper proposes an adaptive wavelet neural network nonsingular fast terminal sliding mode control strategy based on a finite-time framework for a space robot system under external disturbances and model uncertainties. Firstly, the dynamic model of space robot is established based on the second Lagrange equation. Unlike sliding mode control, which converges asymptotically, terminal sliding mode control (TSMC) has been proposed to ensure finite-time convergence for a space robot system. Based on the aforementioned TSMC framework, the fast terminal sliding mode control (FTSMC) is proposed to enhance system convergence rate. However, TSMC exhibits a singularity issue attributed to the presence of negative fractional order. To avoid this issue, a nonsingular fast terminal sliding mode controller (NFTSMC) has been proposed. The controller is designed to integrate linear and nonlinear terms into a novel nonsingular fast terminal sliding mode surface. The method achieves fast finite-time convergence concurrently with improved robustness, while effectively avoiding singularities. To compensate for external disturbances and model uncertainties in the space robot system, this paper proposes the combination of wavelet neural network (WNN) for the real-time estimation of lumped uncertainties. Network parameters are dynamically adjusted via an adaptive law to mitigate chattering effectively and enhance trajectory tracking precision. Utilizing Lyapunov stability theory and numerical simulations, the space robot system’s stability is rigorously proven and the controller effectiveness is validated. Compared with the traditional NFTSMC, the proposed control strategy reduces the convergence time by 20.74%. In the case of trajectory tracking comparison, the root mean square error (RMSE) improves by 35.85%, the mean tracking error improves by 63.29%, the integral of absolute error (IAE) improves by 29.37%, and the integral of time-weighted absolute error (ITAE) improves by 93.06%. Additionally, a comparative simulation with RBFNN is included in this paper. Compared with RBFNN, the proposed control strategy reduces input torque energy consumption by 77.36% and improves control smoothness by 87.03%, quantitatively demonstrating the effectiveness of the proposed control strategy. Full article
(This article belongs to the Special Issue Space Navigation and Control Technologies (2nd Edition))
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26 pages, 9433 KB  
Article
CCRNATSM Control for Quadrotor Trajectory Tracking Under Coupled Wind–Rain Disturbances
by Fei Xie, Zhiling Peng, Honghui Fan, Jie Duan, Shuwen Zhao, Xiaoyu Guo and Jiani Zhao
Symmetry 2026, 18(4), 590; https://doi.org/10.3390/sym18040590 - 30 Mar 2026
Viewed by 245
Abstract
Despite the widespread deployment of quadrotor unmanned aerial vehicles (UAVs), ensuring their flight stability under asymmetric environmental disturbances, such as concurrent wind and rain, remains a significant challenge. To address the trajectory tracking problem under these severe conditions, this paper proposes a Composite [...] Read more.
Despite the widespread deployment of quadrotor unmanned aerial vehicles (UAVs), ensuring their flight stability under asymmetric environmental disturbances, such as concurrent wind and rain, remains a significant challenge. To address the trajectory tracking problem under these severe conditions, this paper proposes a Composite Continuous Rapid Nonsingular Adaptive Terminal Sliding Mode (CCRNATSM) control strategy. First, a composite dynamic model is developed, integrating wind aerodynamics with rain impact characteristics to accurately simulate realistic flight environments. A High-Order Sliding Mode Observer (HOSMO) is then employed for the real-time, accurate estimation of these lumped disturbances. Subsequently, this observer is integrated with an adaptive control law to ensure rapid and precise system stabilization. Comparative simulations conducted under strong disturbance conditions demonstrate that the proposed method exhibits superior performance over existing strategies, reducing roll angle deviation by 75% and shortening the recovery time to 1.5 s. Ultimately, this control strategy significantly enhances the robustness and safety of quadrotor UAVs operating in harsh, asymmetric environments. Full article
(This article belongs to the Section Engineering and Materials)
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26 pages, 19369 KB  
Article
Adaptive Fixed-Time Fractional-Order Terminal Sliding Mode Controller for Autonomous Underwater Vehicle Under External Disturbances
by Xi Xu, Linyuan Guo, Pei Qing, Zichen Wang, Yingqi Yang, Liran Ma and Jianbin Luo
Drones 2026, 10(3), 198; https://doi.org/10.3390/drones10030198 - 12 Mar 2026
Viewed by 304
Abstract
This paper proposes an adaptive fixed-time fractional-order non-singular terminal sliding mode control (AFtFoNTSMC) strategy to enhance the trajectory tracking performance of autonomous underwater vehicles (AUVs) under external disturbances. A novel fractional-order non-singular terminal sliding mode (FoNTSM) control strategy was developed, which effectively resolves [...] Read more.
This paper proposes an adaptive fixed-time fractional-order non-singular terminal sliding mode control (AFtFoNTSMC) strategy to enhance the trajectory tracking performance of autonomous underwater vehicles (AUVs) under external disturbances. A novel fractional-order non-singular terminal sliding mode (FoNTSM) control strategy was developed, which effectively resolves singularity problems and attenuates chattering. To compensate for unknown disturbances, a fractional-order adaptive law was developed, which enhances system robustness without requiring prior knowledge of disturbance bounds. Building upon fixed-time stability theory, the proposed controller ensures that tracking errors converge to equilibrium within a predetermined settling time, independent of initial conditions. Lyapunov stability analysis rigorously proved the system’s fixed-time stability and provided an upper bound for the convergence time. Comparative simulations demonstrated that the AFtFoNTSMC outperforms conventional methods in terms of tracking accuracy, chattering suppression, and disturbance rejection, validating its effectiveness and superiority. Full article
(This article belongs to the Section Unmanned Surface and Underwater Drones)
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39 pages, 17333 KB  
Article
A Novel HOT-STA-SMC Strategy Integrated with MRAS for High-Performance Sensorless PMSM Drives
by Djaloul Karboua, Said Benkaihoul, Abdelkader Azzeddine Bengharbi and Francisco Javier Ruiz-Rodríguez
Electronics 2026, 15(5), 1105; https://doi.org/10.3390/electronics15051105 - 6 Mar 2026
Viewed by 409
Abstract
This paper proposes an advanced sensorless control strategy for Permanent Magnet Synchronous Motors (PMSMs) aimed at enhancing dynamic performance, robustness, and reliability while eliminating the need for mechanical sensors. The core contribution lies in a novel hybrid speed regulation framework that combines a [...] Read more.
This paper proposes an advanced sensorless control strategy for Permanent Magnet Synchronous Motors (PMSMs) aimed at enhancing dynamic performance, robustness, and reliability while eliminating the need for mechanical sensors. The core contribution lies in a novel hybrid speed regulation framework that combines a terminal sliding mode control scheme with a high-order super-twisting algorithm (HOT-STA-SMC), ensuring finite-time convergence, effective chattering suppression, and strong disturbance rejection under varying operating conditions. For the inner current loop, an Exponential Reaching Law Sliding Mode Controller (ERL-SMC) is implemented to guarantee fast current response and precise current tracking, even in the presence of parameter uncertainties. Furthermore, the conventional Model Reference Adaptive System (MRAS) observer is embedded within the proposed control architecture, resulting in more accurate speed estimation and enhanced stability during load fluctuations. The complete control system is rigorously modeled and tested in MATLAB R2024b/Simulink, capturing the full interaction between machine dynamics, control loops, and observer mechanisms. The simulation results verify that the proposed design achieves superior torque smoothness, minimal current ripples, and fast transient response compared to conventional sensorless methods. By integrating high-order sliding modes with advanced adaptive observation, this work offers a robust and cost-effective solution for high-performance PMSM drives, suitable for demanding applications such as electric vehicles, renewable energy conversion, and industrial motion control. Full article
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28 pages, 35540 KB  
Article
Sensorless Control of PMSM Based on Fuzzy Sliding Mode Observer and Non-Singular Terminal Sliding Mode Control
by Benjian Ruan, Gang Li, Longbao Liu and Yongqiang Fan
Appl. Sci. 2026, 16(5), 2544; https://doi.org/10.3390/app16052544 - 6 Mar 2026
Viewed by 430
Abstract
To address the chattering phenomenon and sensitivity to load disturbances in conventional sliding mode observers (SMO) for sensorless permanent magnet synchronous motor (PMSM) control, this paper proposes a robust sensorless control strategy integrating a fuzzy adaptive SMO with an improved sliding mode speed [...] Read more.
To address the chattering phenomenon and sensitivity to load disturbances in conventional sliding mode observers (SMO) for sensorless permanent magnet synchronous motor (PMSM) control, this paper proposes a robust sensorless control strategy integrating a fuzzy adaptive SMO with an improved sliding mode speed controller. In the observer design, a continuous hyperbolic tangent function, tanh (ax), replaces the traditional sign function, while a fuzzy logic controller adaptively tunes the convergence factor a to enhance estimation accuracy and suppress high-frequency chattering. Simultaneously, an adaptive quadrature phase-locked loop (AQPLL) is incorporated to achieve adaptive matching across various operating conditions by updating parameters online, which effectively reduces phase delay and improves the dynamic performance of rotor position and speed estimation. Furthermore, a non-singular terminal sliding mode control (NTSMC) strategy is employed in the outer speed loop with a proposed segmented terminal reaching law. This law ensures rapid response in large-error regions and mitigates steady-state oscillations in small-error regions, thereby strengthening system robustness against load disturbances. The stability of the proposed system is rigorously verified via Lyapunov stability analysis. Simulation and experimental results demonstrate that the proposed approach significantly reduces speed and position estimation errors under varying speeds and sudden load changes compared to the conventional SMO-PI method, while effectively suppressing system chattering to confirm its engineering feasibility. Full article
(This article belongs to the Section Electrical, Electronics and Communications Engineering)
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25 pages, 6419 KB  
Article
Improved ARBF Sliding Mode Tension Control for a Carbon Fiber Diagonal Weaving Loom with a Hyperbolic Tangent Disturbance Observer
by Guowei Xu, Lipeng Fang, Wei Liu and Jian Liu
Symmetry 2026, 18(3), 433; https://doi.org/10.3390/sym18030433 - 1 Mar 2026
Viewed by 313
Abstract
The tension control of carbon fiber diagonal weaving looms is severely affected by the coupling between structured friction and unstructured disturbances, leading to strong nonlinearities and time-varying uncertainties. To overcome the chattering and model-dependency issues inherent in traditional sliding mode control, a nonlinear [...] Read more.
The tension control of carbon fiber diagonal weaving looms is severely affected by the coupling between structured friction and unstructured disturbances, leading to strong nonlinearities and time-varying uncertainties. To overcome the chattering and model-dependency issues inherent in traditional sliding mode control, a nonlinear dynamic model incorporating the Stribeck friction term was established. An Improved Adaptive Radial Basis Function-based Nonsingular Fast Terminal Sliding Mode Control (I-ARBF-NFTSMC) framework was then proposed. The framework adopts a divide-and-conquer composite compensation mechanism, in which a smooth Hyperbolic Tanh Fixed-Time Disturbance Observer (Tanh-FTDO) estimates external disturbances and suppresses chattering, and an Improved Adaptive Radial Basis Function (I-ARBF) neural network approximates and compensates internal nonlinear friction. Simulation results show that, compared with the conventional Fixed-Time Extended State Observer-based method (FESO-NFTSMC), the proposed controller achieves higher disturbance-estimation accuracy and tracking performance under sinusoidal, triangular, and composite disturbances. In composite-disturbance conditions, the steady-state mean-squared error is reduced by about 60%, the maximum tracking error decreases from 0.08787 N to 0.01965 N, and the settling time shortens by approximately 25.2%, while effectively mitigating high-frequency chattering. The proposed strategy achieves fast finite-time convergence with enhanced smoothness and robustness, providing a real-time executable solution for high-precision tension control in complex nonlinear weaving processes. Full article
(This article belongs to the Special Issue Symmetry and Nonlinear Control: Theory and Application)
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21 pages, 1755 KB  
Article
Reinforcement Learning-Based Sliding Mode Control of Underwater Vehicles with Bow Rudders and X-Stern Rudders
by Hao Ren, Jie Liu, Jian Gao, Guang Pan and Haixu Ding
J. Mar. Sci. Eng. 2026, 14(3), 321; https://doi.org/10.3390/jmse14030321 - 6 Feb 2026
Viewed by 440
Abstract
This paper addresses the motion control for an x-rudder underwater vehicle, which features a bow rudder and four independent x-shaped stern rudders. To achieve coordinated operation of bow and stern rudders of the x-rudder underwater vehicle, the motion controller is divided into two [...] Read more.
This paper addresses the motion control for an x-rudder underwater vehicle, which features a bow rudder and four independent x-shaped stern rudders. To achieve coordinated operation of bow and stern rudders of the x-rudder underwater vehicle, the motion controller is divided into two parts: dynamic controller and control distributor. A model-free sliding mode parameter optimization control algorithm for underwater vehicles based on reinforcement learning (RL) is proposed. The proposed algorithm integrates a fast terminal sliding mode controller based on prior model knowledge with a model-free, data-driven input derived from reinforcement learning, ensuring both efficiency and adaptability. The control allocator employs an improved sequential quadratic programming approach to tackle the mixed minimization problem, considering various evaluation criteria and constraints. The effectiveness of the proposed control method is validated through numerical simulations across different conditions, and its performance is compared in terms of accuracy, convergence, and computational complexity. Full article
(This article belongs to the Section Ocean Engineering)
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19 pages, 6613 KB  
Article
An Integrated Disturbance Observer-Based Adaptive Smooth Gain Sliding Mode Control for DC/DC Converters in DC Microgrids
by Jinkun Sun, Jiyao Wang, Amin Wen and Zheng Wang
Electronics 2026, 15(3), 668; https://doi.org/10.3390/electronics15030668 - 3 Feb 2026
Viewed by 347
Abstract
Large signal perturbations, such as abrupt load changes and sudden voltage surges, pose significant challenges to the stable operation of DC microgrids. Various control strategies have been explored to mitigate these disturbances. Among them, terminal sliding mode control (TSMC) offers a rapid dynamic [...] Read more.
Large signal perturbations, such as abrupt load changes and sudden voltage surges, pose significant challenges to the stable operation of DC microgrids. Various control strategies have been explored to mitigate these disturbances. Among them, terminal sliding mode control (TSMC) offers a rapid dynamic response, but its inherent chattering and limited disturbance rejection capabilities hinder its effectiveness in DC microgrid applications. To address these issues, this paper proposes a novel adaptive smooth gain terminal sliding mode control (ASTSMC) strategy for the outer voltage loops of DC-DC converters. In addition, a reduced-order error-based extended state observer (REESO) is integrated to enhance disturbance estimation, mitigate the effects of disturbances, and improve the computational efficiency. The proposed ASTSMC-REESO approach effectively tackles the inherent chattering issues of TSMC, achieving superior voltage control performance under severe disturbances. Experimental results demonstrate that the proposed strategy significantly improves the performance of voltage regulation in DC microgrids. Full article
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21 pages, 5199 KB  
Article
Real-Time Trajectory Replanning and Tracking Control of Cable-Driven Continuum Robots in Uncertain Environments
by Yanan Qin and Qi Chen
Actuators 2026, 15(2), 83; https://doi.org/10.3390/act15020083 - 1 Feb 2026
Viewed by 426
Abstract
To address trajectory tracking of cable-driven continuum robots (CDCRs) in the presence of obstacles, this paper proposes an integrated control framework that combines online trajectory replanning, obstacle avoidance, and tracking control. The control system consists of two modules. The first is a trajectory [...] Read more.
To address trajectory tracking of cable-driven continuum robots (CDCRs) in the presence of obstacles, this paper proposes an integrated control framework that combines online trajectory replanning, obstacle avoidance, and tracking control. The control system consists of two modules. The first is a trajectory replanning controller developed on an improved model predictive control (IMPC) framework. The second is a trajectory-tracking controller that integrates an adaptive disturbance observer with a fast non-singular terminal sliding mode control (ADO-FNTSMC) strategy. The IMPC trajectory replanning controller updates the trajectory of the CDCRs to avoid collisions with obstacles. In the ADO-FNTSMC strategy, the adaptive disturbance observer (ADO) compensates for uncertain dynamic factors, including parametric uncertainties, unmodeled dynamics, and external disturbances, thereby enhancing the system’s robustness and improving trajectory tracking accuracy. Meanwhile, the fast non-singular terminal sliding mode control (FNTSMC) guarantees fast, stable, and accurate trajectory tracking. The average tracking errors for IMPC-ADO-FNTSMC, MPC-FNTSMC, and MPC-SMC are 1.185 cm, 1.540 cm, and 1.855 cm, with corresponding standard deviations of 0.035 cm, 0.057 cm, and 0.078 cm in the experimental results. Compared with MPC-FNTSMC and MPC-SMC, the IMPC-ADO-FNTSMC controller reduces average tracking errors by 29.96% and 56.54%. Simulation and experimental results demonstrate that the designed two-module controller (IMPC-ADO-FNTSMC) achieves fast, stable, and accurate trajectory tracking in the presence of obstacles and uncertain dynamic conditions. Full article
(This article belongs to the Section Control Systems)
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