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Passive analysis and finite-time anti-disturbance control for semi-Markovian jump fuzzy systems with saturation and uncertainty

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  • Xu, Tianbo
  • Zhu, Chunxia
  • Qi, Wenhai
  • Cheng, Jun
  • Shi, Kaibo
  • Sun, Liangliang

Abstract

This paper mainly addresses the issue of passivity for semi-Markovian jump fuzzy systems (S-MJFSs) with saturation and uncertainty and analyzes the finite-time performance. Compared with existing research results, the passivity problem of semi-Markovian jump system (S-MJS) with mixed disturbances is proposed, and time-delay, parameter uncertainty are also considered in the close-loop systems. Takagi-Sugeno (T-S) fuzzy strategy is used to deal with finite-time nonlinear problem. Firstly, the sufficient condition of finite-time boundedness for S-MJFSs is proposed by the derivation and transformation of matrix inequality. Then, disturbance observer based control (DOBC) and passive control are combined to address the robust passive problem. Furthermore, finit-time passive controller is solved to guarantee the control requirements of uncertain S-MJFSs. Finally, the results are applied in the practical system model and the feasibility of the results is verified.

Suggested Citation

  • Xu, Tianbo & Zhu, Chunxia & Qi, Wenhai & Cheng, Jun & Shi, Kaibo & Sun, Liangliang, 2022. "Passive analysis and finite-time anti-disturbance control for semi-Markovian jump fuzzy systems with saturation and uncertainty," Applied Mathematics and Computation, Elsevier, vol. 424(C).
    • Handle: RePEc:eee:apmaco:v:424:y:2022:i:c:s0096300322001163
    DOI: 10.1016/j.amc.2022.127030
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    References listed on IDEAS

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    1. Lee, Tae H. & Park, Myeong Jin & Park, Ju H., 2021. "An improved stability criterion of neural networks with time-varying delays in the form of quadratic function using novel geometry-based conditions," Applied Mathematics and Computation, Elsevier, vol. 404(C).
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    4. Xu, Tianbo & Gao, Xianwen & Qi, Wenhai & Wei, Yunliang, 2019. "Disturbance-observer-based control for semi-Markovian jump systems with generally uncertain transition rate and saturation nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
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    Cited by:

    1. 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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