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Finite-time H∞ static and dynamic output feedback control for a class of switched nonlinear time-delay systems

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  • Gholami, Hadi
  • Shafiei, Mohammad Hossein

Abstract

In this paper, static and dynamic output feedback controllers are designed for a class of switched nonlinear time-delay systems in the presence of exogenous disturbances and parameter uncertainties to achieve finite-time boundedness (FTB) of the closed-loop system. Moreover, an H∞ index is guaranteed with respect to the exogenous disturbances using auxiliary matrices and the average dwell time method (ADT). The presented theorems in this paper are less conservative compared to the existing papers and there are more degrees of freedom to achieve a feasible solution. Then, the proposed static and dynamic controllers are derived for linear cases to avoid unnecessary conservatism. Finally, to illustrate the capabilities of the designed controllers, three examples are simulated and the performance of the proposed controllers is compared with existing methods.

Suggested Citation

  • Gholami, Hadi & Shafiei, Mohammad Hossein, 2021. "Finite-time H∞ static and dynamic output feedback control for a class of switched nonlinear time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 389(C).
    • Handle: RePEc:eee:apmaco:v:389:y:2021:i:c:s0096300320305130
    DOI: 10.1016/j.amc.2020.125557
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    References listed on IDEAS

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    1. Xing, Mengping & Xia, Jianwei & Wang, Jing & Meng, Bo & Shen, Hao, 2019. "Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    2. Chang, Xiao-Heng & Xiong, Jun & Park, Ju H., 2016. "Fuzzy robust dynamic output feedback control of nonlinear systems with linear fractional parametric uncertainties," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 213-225.
    3. Lin, Xiangze & Li, Shihua & Zou, Yun, 2017. "Finite-time stabilization of switched linear time-delay systems with saturating actuators," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 66-79.
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    Cited by:

    1. Amin Taghieh & Ardashir Mohammadzadeh & Jafar Tavoosi & Saleh Mobayen & Thaned Rojsiraphisal & Jihad H. Asad & Anton Zhilenkov, 2021. "Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach," Mathematics, MDPI, vol. 9(22), pages 1-25, November.
    2. Wang, Jinling & Liang, Jinling & Zhang, Cheng-Tang & Fan, Dongmei, 2021. "Event-triggered non-fragile control for uncertain positive Roesser model with PDT switching mechanism," Applied Mathematics and Computation, Elsevier, vol. 406(C).
    3. Xikui Liu & Wencong Li & Chenxin Yao & Yan Li, 2022. "Finite-Time Guaranteed Cost Control for Markovian Jump Systems with Time-Varying Delays," Mathematics, MDPI, vol. 10(12), pages 1-12, June.
    4. Yuan, Manman & Zhai, Junyong & Ye, Hui, 2022. "Adaptive output feedback control for a class of switched stochastic nonlinear systems via an event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 422(C).

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