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Finite-time adaptive fuzzy output tracking of switched nonlinear systems with ISD-ADT

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  • Zhu, Hao-Yang
  • Jiang, Xiaoyue
  • Li, Yuan-Xin
  • Tong, Shaocheng

Abstract

This article is devoted to the initial state-dependent average dwell time (ISD-ADT) based output feedback control issue for switched systems. First, a switched observer is given to estimate the unmeasurable states. Based on the ISD-ADT method and backstepping technique, a novel switching law is established. Second, based on the smooth switch function (SSF), a novel fuzzy adaptive finite-time control algorithm is recursively fabricated, which availably surmounted the singularity hindrance derived from the differentiating virtual control law. Furthermore, the proposed output feedback control approach can steer the tracking error into an arbitrarily small residual set in a finite time. In addition, different switched filters and controllers are introduced to reduce the conservatism and restriction caused by employing the common filter and controller for different subsystems. Ultimately, the theoretical findings are validated through two simulation examples.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:443:y:2023:i:c:s0096300322008736
    DOI: 10.1016/j.amc.2022.127805
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    References listed on IDEAS

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    1. Wang, Yijing & Zou, Yanchao & Zuo, Zhiqiang & Li, Hongchao, 2016. "Finite-time stabilization of switched nonlinear systems with partial unstable modes," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 172-181.
    2. 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).
    3. Mei, Zhen & Fang, Ting & Shen, Hao, 2022. "Finite‐time l2−l∞ filtering for persistent dwell‐time switched piecewise‐affine systems against deception attacks," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    4. Chang, Xiao-Heng & Jin, Xue, 2022. "Observer-based fuzzy feedback control for nonlinear systems subject to transmission signal quantization," Applied Mathematics and Computation, Elsevier, vol. 414(C).
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