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Fixed-time adaptive neural tracking control for high-order nonlinear switched systems with input saturation and dead-zone

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  • Wang, Huanqing
  • Meng, Zhu

Abstract

This article investigates the problem of tracking control for high-order switched nonlinear systems with input saturation and dead-zone. The uncertain nonlinear functions are estimated via applying radial basis function neural networks (RBF NNs). An improved transformation approach is designed to simplify the design complexity caused by input nonlinearities. In particular, a novel filter is presented to handle the difficulty of “explosion of complexity”. With the support of the common Lyapunov function (CLF) approach, a novel neural fixed-time dynamic surface control (DSC) scheme is proposed to assure all the signals in closed-loop systems are bounded and the output signal tracks the expected signal within fixed time. The simulation example illustrates the validity of the proposed control algorithm.

Suggested Citation

  • Wang, Huanqing & Meng, Zhu, 2024. "Fixed-time adaptive neural tracking control for high-order nonlinear switched systems with input saturation and dead-zone," Applied Mathematics and Computation, Elsevier, vol. 480(C).
    • Handle: RePEc:eee:apmaco:v:480:y:2024:i:c:s0096300324003655
    DOI: 10.1016/j.amc.2024.128904
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    References listed on IDEAS

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    1. Hu, Yifan & Liu, Wenhui, 2023. "Adaptive fuzzy dynamic surface control for nonstrict-feedback nonlinear state constrained systems with input dead-zone via event-triggered sampling," Applied Mathematics and Computation, Elsevier, vol. 450(C).
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    6. Peng, Runlong & Guo, Rongwei & Zheng, Bin & Miao, Zhonghua & Zhou, Jin, 2024. "Neural network-based robust consensus tracking for uncertain networked Euler-Lagrange systems with time-varying delays and output constraints," Applied Mathematics and Computation, Elsevier, vol. 468(C).
    7. Mei, Keqi & Ma, Li & He, Runxin & Ding, Shihong, 2020. "Finite-time controller design of multiple integrator nonlinear systems with input saturation," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    8. Luo, Peng & Wu, Defeng & Yamashita, Andre S. & Feng, Na & Yang, Yang, 2024. "Observer-based fixed-time dynamic surface tracking control for autonomous surface vehicles under actuator constraints and denial-of-service attacks," Applied Mathematics and Computation, Elsevier, vol. 465(C).
    9. Peng, Yanru & Xu, Shengyuan, 2023. "Adaptive tracking control for a class of stochastic nonlinear systems with full-state constraints and dead-zone," Applied Mathematics and Computation, Elsevier, vol. 452(C).
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