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filtering for a class of switched linear parameter varying systems

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  • Lixian Zhang
  • Peng Shi

Abstract

This article addresses the filtering problem for a class of discrete-time switched linear parameter varying systems under average dwell time switching. The stability result for general discrete-time switched systems with average dwell time is first presented. A mode-dependent full-order parameterised filter is then designed and the corresponding existence conditions of such filters are derived via LMI formulation. The desired filter gains and the admissible switching signals are obtained for a given system decay degree such that the resulting filter error system is exponentially stable and has a guaranteed H∞ performance. A numerical example is given to demonstrate the potential and effectiveness of the developed theoretical results.

Suggested Citation

  • Lixian Zhang & Peng Shi, 2011. "filtering for a class of switched linear parameter varying systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(5), pages 781-788.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:781-788
    DOI: 10.1080/00207721003764158
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    Cited by:

    1. Li, Shuo & Xiang, Zhengrong, 2016. "Stability, l1-gain and l∞-gain analysis for discrete-time positive switched singular delayed systems," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 95-106.

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