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Mode-dependent quantised filtering for Markovian jump singular system

Author

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  • Renquan Lu
  • Bin Lou
  • An-Ke Xue

Abstract

This paper considers the H∞ filtering problem for Markovian jump singular systems. In addition, when taking into account the effect of the quantisation, the designed filter not only guarantee admissibility but also satisfy a prescribed H∞ filtering performance for the filter error system. By using Lyapunov method, a new bounded real lemma is proposed in terms of linear matrix inequalities (LMIs) to ensure that the filtering error system has the mentioned properties. Furthermore, a sufficient condition for the existence of filter is obtained in terms of LMIs. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

Suggested Citation

  • Renquan Lu & Bin Lou & An-Ke Xue, 2015. "Mode-dependent quantised filtering for Markovian jump singular system," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(10), pages 1817-1824, July.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1817-1824
    DOI: 10.1080/00207721.2013.837539
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    Cited by:

    1. Gao, Xianwen & He, Hangfeng & Qi, Wenhai, 2017. "Admissibility analysis for discrete-time singular Markov jump systems with asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 431-441.
    2. Zhang, Dian & Cheng, Jun & Ki Ahn, Choon & Ni, Hongjie, 2019. "A flexible terminal approach to stochastic stability and stabilization of continuous-time semi-Markovian jump systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 191-205.

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