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

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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.

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Authors and Affiliations

  1. Department of Automation, Zhejiang University of Technology, Hangzhou, 310023, China

    Dan Zhang & Li Yu

  2. Zhejiang Provincial United Key Laboratory of Embedded Systems, Hangzhou, 310023, China

    Dan Zhang & Li Yu

Authors
  1. Dan Zhang
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  2. Li Yu
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Correspondence to Dan Zhang.

Additional information

Communicated by Po-Lung Yu.

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Zhang, D., Yu, L. Fault-Tolerant Control for Discrete-Time Switched Linear Systems with Time-Varying Delay and Actuator Saturation. J Optim Theory Appl 153, 157–176 (2012). https://doi.org/10.1007/s10957-011-9955-7

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  • DOI: https://doi.org/10.1007/s10957-011-9955-7

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