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Robust Stabilization of Discrete-Time Switched Periodic Systems with Time Delays

Author

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  • Yali Dong
  • Jing Hao
  • Yonghong Yao
  • Huimin Wang

Abstract

This paper studies the problems of robust stability and robust stabilization for discrete-time switched periodic systems with time-varying delays and parameter uncertainty. We obtain the novel sufficient conditions to ensure the switched system is robustly asymptotically stable in terms of linear matrix inequalities. To obtain these conditions, we utilize a descriptor system method and introduce a switched Lyapunov-Krasovskii functional. The robust stability results are then extended to solve problems of robust stabilization via periodic state feedback. Novel sufficient conditions are established to ensure that the uncertain switched periodic system is robustly asymptotically stabilizable. Finally, we give two numerical examples to illustrate the effectiveness of our method.

Suggested Citation

  • Yali Dong & Jing Hao & Yonghong Yao & Huimin Wang, 2019. "Robust Stabilization of Discrete-Time Switched Periodic Systems with Time Delays," Complexity, Hindawi, vol. 2019, pages 1-13, February.
    • Handle: RePEc:hin:complx:3950848
    DOI: 10.1155/2019/3950848
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    References listed on IDEAS

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    1. Liu, Lei & Zhou, Qi & Liang, Hongjing & Wang, Lijie, 2017. "Stability and Stabilization of Nonlinear Switched Systems Under Average Dwell Time," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 77-94.
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    Cited by:

    1. Aravinth, N. & Satheesh, T. & Sakthivel, R. & Ran, G. & Mohammadzadeh, A., 2023. "Input-output finite-time stabilization of periodic piecewise systems with multiple disturbances," Applied Mathematics and Computation, Elsevier, vol. 453(C).

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