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Fault-Tolerant Control for Discrete-Time Switched Linear Systems with Time-Varying Delay and Actuator Saturation

Author

Listed:
  • Dan Zhang

    (Zhejiang University of Technology
    Zhejiang Provincial United Key Laboratory of Embedded Systems)

  • Li Yu

    (Zhejiang University of Technology
    Zhejiang Provincial United Key Laboratory of Embedded Systems)

Abstract

In this paper, the fault-tolerant control for a class of discrete-time switched systems with time-varying delay and actuator saturation is investigated. By using a newly constructed Lyapunov functional and the average dwell time scheme, a design procedure is developed for the mode-dependent state feedback controller which ensures the exponential stability of the closed-loop systems. Moreover, an optimization problem with linear matrix inequality (LMI) constraints is formulated to estimate the domain of attraction of the origin for the underlying systems. A numerical example is finally given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Dan Zhang & Li Yu, 2012. "Fault-Tolerant Control for Discrete-Time Switched Linear Systems with Time-Varying Delay and Actuator Saturation," Journal of Optimization Theory and Applications, Springer, vol. 153(1), pages 157-176, April.
    • Handle: RePEc:spr:joptap:v:153:y:2012:i:1:d:10.1007_s10957-011-9955-7
    DOI: 10.1007/s10957-011-9955-7
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    References listed on IDEAS

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    1. M. S. Mahmoud & Y. Xia, 2009. "Robust Stability and Stabilization of a Class of Nonlinear Switched Discrete-Time Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 143(2), pages 329-355, November.
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    Cited by:

    1. Sakthivel, R. & Rathika, M. & Santra, Srimanta & Zhu, Quanxin, 2015. "Dissipative reliable controller design for uncertain systems and its application," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 107-121.
    2. Chenglong Zhu & Li He & Kanjian Zhang & Wei Sun & Zengxiang He, 2022. "Optimal Timing Fault Tolerant Control for Switched Stochastic Systems with Switched Drift Fault," Mathematics, MDPI, vol. 10(11), pages 1-16, May.

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