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

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  • Hanmei Wang
  • Jun Zhao

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.

Suggested Citation

  • Hanmei Wang & Jun Zhao, 2018. "Passivity and control of switched discrete-time nonlinear systems using linearisation," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(1), pages 68-83, January.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:68-83
    DOI: 10.1080/00207721.2017.1390701
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    1. Ye, Zhiyong & Ji, Huihui & Zhang, He, 2016. "Passivity analysis of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 147-157.
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