filtering for nonlinear singular Markovian jumping systems with interval time-varying delays

Yuanqing Xia, Li Li, Magdi Mahmoud and Hongjiu Yang

International Journal of Systems Science, 2011, vol. 43, issue 2, 272-284

Abstract: The problem of H∞ filtering for nonlinear singular Markovian jumping systems with interval time-varying delays is investigated. The delay factor is assumed to be time-varying and belongs to a given interval, which means that the lower and upper bounds of the interval time-varying delays are available. Furthermore, the derivative of the time-varying delay function can be larger than one. With partial knowledge of the jump rates of the Markov process, a new delay-range-dependent bounded real lemma for the solvability of the jump system is obtained based on the Lyapunov–Krasovskii functional, which is in terms of strict linear matrix inequalities (LMIs). When these LMIs are feasible, an expression of a desired H∞ filter is given. Numerical examples are given to illustrate the effectiveness of the developed techniques.

Date: 2011
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DOI: 10.1080/00207721.2010.488762

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