Mode-dependent quantised filtering for Markovian jump singular system

Renquan Lu, Bin Lou and An-Ke Xue

International Journal of Systems Science, 2015, vol. 46, issue 10, 1817-1824

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.

Date: 2015
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DOI: 10.1080/00207721.2013.837539

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