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Input and output strictly passive H∞ control of discrete-time switched systems

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  • Zairui Gao
  • Ziyun Wang
  • Dinghui Wu

Abstract

This paper is concerned with the problem of $H_\infty $H∞ control based on input and output strict passivity for discrete-time switched systems in both linear and nonlinear texts. Firstly, a sufficient condition is derived by using multiple storage functions, Lie derivative and iteration technique, which can guarantee that the discrete-time switched nonlinear system is asymptotically stable and satisfies a prescribed $H_\infty $H∞ performance index. Secondly, the above result is extended to the discrete-time switched linear system based on the linear matrix inequality approach, and each sub-controller with an explicit expression is given. Finally, two numerical examples are given to illustrate the effectiveness and the applicability of the proposed method.

Suggested Citation

  • Zairui Gao & Ziyun Wang & Dinghui Wu, 2019. "Input and output strictly passive H∞ control of discrete-time switched systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(15), pages 2776-2784, November.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:15:p:2776-2784
    DOI: 10.1080/00207721.2019.1690070
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