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Neural network-based adaptive finite-time tracking control of switched nonlinear systems with time-varying delay

Author

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  • Cui, Di
  • Zou, Wencheng
  • Guo, Jian
  • Xiang, Zhengrong

Abstract

This work investigates the adaptive finite-time tracking control problem for switched nonlinear systems, in which backlash-like hysteresis and time-varying delay are taken into account. The nonlinear estimation ability of radial basis function neural networks is employed to relax the restriction on unknown nonlinear functions. The dynamic surface technology and the finite-time control approach avoid the “curse of dimensionality” and “singularity” problems existing in the backstepping design procedure, separately. By Lyapunov–Razumikhin function scheme, the proposed finite-time signal guarantees superior tracking performance under the average dwell time switching. Finally, to testify the practicability of the presented strategy, two simulation examples are shown.

Suggested Citation

  • Cui, Di & Zou, Wencheng & Guo, Jian & Xiang, Zhengrong, 2022. "Neural network-based adaptive finite-time tracking control of switched nonlinear systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    • Handle: RePEc:eee:apmaco:v:428:y:2022:i:c:s0096300322002909
    DOI: 10.1016/j.amc.2022.127216
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    References listed on IDEAS

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    1. Xu, Ning & Zhao, Xudong & Zong, Guangdeng & Wang, Yuanqing, 2021. "Adaptive control design for uncertain switched nonstrict-feedback nonlinear systems to achieve asymptotic tracking performance," Applied Mathematics and Computation, Elsevier, vol. 408(C).
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    8. Xi, Changjiang & Dong, Jiuxiang, 2021. "Adaptive asymptotic tracking control of uncertain nonlinear time-delay systems depended on delay estimation information," Applied Mathematics and Computation, Elsevier, vol. 391(C).
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    Cited by:

    1. Zhu, Hao-Yang & Jiang, Xiaoyue & Li, Yuan-Xin & Tong, Shaocheng, 2023. "Finite-time adaptive fuzzy output tracking of switched nonlinear systems with ISD-ADT," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    2. Zhang, Guodong & Cao, Jinde, 2023. "New results on fixed/predefined-time synchronization of delayed fuzzy inertial discontinuous neural networks: Non-reduced order approach," Applied Mathematics and Computation, Elsevier, vol. 440(C).

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