Passivity and control of switched discrete-time nonlinear systems using linearisation

Hanmei Wang and Jun Zhao

International Journal of Systems Science, 2018, vol. 49, issue 1, 68-83

Abstract: Local passivity and H∞ control of switched discrete-time nonlinear systems are studied using the linearisation technique in this paper. We first establish LMI-based sufficient conditions under which theconsidered system is locally strictly QSR-dissipative. Then, two special cases of QSR-dissipativity, local passivity and l2 gain, are investigated. In view of the derived conditions being all convex in linearised system matrices, local feedback passification and H∞ control problems of switched discrete-time nonlinear systems are solved. The efficiency of the proposed method is verified through numerical examples.

Date: 2018
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DOI: 10.1080/00207721.2017.1390701

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