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Fault estimator design for a class of switched systems with time-varying delay

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  • Shuai Yuan
  • Xinzhi Liu

Abstract

This article studies the problem of fault estimator design for switched time-delay systems with impulsive control. The delay signal is assumed to be uniformly bounded, differentiable and has a bounded derivative. The problem is first formulated in the framework of H∞ filtering by incorporating a priori knowledge of the fault into the design procedure. A hybrid controller, composed of a fault estimator and an impulsive controller, is constructed. Some delay-dependent sufficient conditions are derived on the existence of the hybrid controller by using the multiple Lyapunov functional approach. In addition, based on the cone complementarity algorithm, the solutions to the parameter matrices are obtained by solving a set of linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • Shuai Yuan & Xinzhi Liu, 2011. "Fault estimator design for a class of switched systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(12), pages 2125-2135.
  • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:2125-2135
    DOI: 10.1080/00207721003770726
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    Cited by:

    1. Ding Zhai & Anyang Lu & Jinghao Li & Qingling Zhang, 2016. "Fault detection for singular switched linear systems with multiple time-varying delay in finite frequency domain," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(13), pages 3232-3257, October.

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