International Journal of Control, Automation, and Systems 2024; 22(1): 174-185
https://doi.org/10.1007/s12555-022-0883-0
© The International Journal of Control, Automation, and Systems
This article studies the problem of dynamic-surface-based event-triggered adaptive tracking control for a class of strictly-feedback stochastic nonlinear systems with state constraints. Firstly, radial basis function neural networks (RBFNNs) are used to approximate unknown nonlinear continuous functions, and barrier Lyapunov functions (BLFs) are used to address state constraint problems. Then, the dynamic surface control (DSC) scheme is applied to solve the “explosion of complexity” issue, and error compensation signals are added to reduce the error caused by the filter to achieve a more effective control performance and optimize the algorithm. In addition, this research also considers the case of systems with relative threshold event-triggered mechanisms to save communication resources, and the existence of the lower bound of the minimum inter-event time is proved to exclude the Zeno behavior. Meanwhile, an adaptive tracking controller with the backstepping control strategy is designed, so that all signals in the closed-loop system are bounded and the tracking error converges to a small residual set of the origin in probability. Finally, the simulation examples are given to demonstrate the effectiveness of the control method.
Keywords Adaptive tracking control, dynamic surface control (DSC), error compensation mechanism, eventtriggered, state constraints, stochastic nonlinear systems.
International Journal of Control, Automation, and Systems 2024; 22(1): 174-185
Published online January 1, 2024 https://doi.org/10.1007/s12555-022-0883-0
Copyright © The International Journal of Control, Automation, and Systems.
Hongyun Yue* and Shaofang Feng
Xi’an University of Architecture and Technology
This article studies the problem of dynamic-surface-based event-triggered adaptive tracking control for a class of strictly-feedback stochastic nonlinear systems with state constraints. Firstly, radial basis function neural networks (RBFNNs) are used to approximate unknown nonlinear continuous functions, and barrier Lyapunov functions (BLFs) are used to address state constraint problems. Then, the dynamic surface control (DSC) scheme is applied to solve the “explosion of complexity” issue, and error compensation signals are added to reduce the error caused by the filter to achieve a more effective control performance and optimize the algorithm. In addition, this research also considers the case of systems with relative threshold event-triggered mechanisms to save communication resources, and the existence of the lower bound of the minimum inter-event time is proved to exclude the Zeno behavior. Meanwhile, an adaptive tracking controller with the backstepping control strategy is designed, so that all signals in the closed-loop system are bounded and the tracking error converges to a small residual set of the origin in probability. Finally, the simulation examples are given to demonstrate the effectiveness of the control method.
Keywords: Adaptive tracking control, dynamic surface control (DSC), error compensation mechanism, eventtriggered, state constraints, stochastic nonlinear systems.
Vol. 23, No. 3, pp. 683~972
Cong Niu, Haidong Shen*, Kun Yan, and Xiutian Yan
International Journal of Control, Automation, and Systems 2024; 22(10): 3202-3218Yanghe Cao, Junsheng Zhao*, and Zong-yao Sun
International Journal of Control, Automation and Systems 2023; 21(7): 2267-2276Na Li, Yu-Qun Han, Wen-Jing He, and Shan-Liang Zhu*
International Journal of Control, Automation and Systems 2022; 20(8): 2768-2778