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

Zairui Gao, Ziyun Wang and Dinghui Wu

International Journal of Systems Science, 2019, vol. 50, issue 15, 2776-2784

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.

Date: 2019
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DOI: 10.1080/00207721.2019.1690070

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