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Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach

Author

Listed:
  • Amin Taghieh

    (Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz 5166616471, Iran)

  • Ardashir Mohammadzadeh

    (Electrical Engineering Department, University of Bonab, Bonab 5551395133, Iran)

  • Jafar Tavoosi

    (Department of Electrical Engineering, Ilam University, Ilam 69315516, Iran)

  • Saleh Mobayen

    (Future Technology Research Center, National Yunlin University of Science and Technology, Douliu 64002, Taiwan)

  • Thaned Rojsiraphisal

    (Advanced Research Center for Computational Simulation, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Jihad H. Asad

    (Department of Physics, Faculty of Applied Sciences, Palestine Technical University, Tulkarm P.O. Box 7, Palestine)

  • Anton Zhilenkov

    (Department of Cyber-Physical Systems, St. Petersburg State Marine Technical University, 190121 Saint-Petersburg, Russia)

Abstract

This paper designs an observer-based controller for switched systems (SSs) with nonlinear dynamics, exogenous disturbances, parametric uncertainties, and time-delay. Based on the multiple Lyapunov–Krasovskii and average dwell time (DT) approaches, some conditions are presented to ensure the robustness and investigate the effect of time-delay, uncertainties, and lag issues between switching times. The control parameters are determined through solving the established linear matrix inequalities (LMIs) under asynchronous switching. A novel LMI-based conditions are suggested to guarantee the H ∞ performance. Finally, the accuracy of the designed observer-based controller is examined by simulations on practical case-study plants.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2968-:d:684221
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    References listed on IDEAS

    as
    1. Wang, Ronghao & Xing, Jianchun & Xiang, Zhengrong, 2018. "Finite-time stability and stabilization of switched nonlinear systems with asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 229-244.
    2. Yoo, Sung Jin & Park, Bong Seok, 2021. "Quantized feedback control strategy for tracking performance guarantee of nonholonomic mobile robots with uncertain nonlinear dynamics," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    3. 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).
    4. Shi, Shuang & Fei, Zhongyang & Shi, Zhenpeng & Ren, Shunqing, 2018. "Stability and stabilization for discrete-time switched systems with asynchronism," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 520-536.
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