Fuzzy filtering for nonlinear Markovian jump neutral systems

Hao Shen, Shengyuan Xu, Jianping Zhou and Jinjun Lu

International Journal of Systems Science, 2011, vol. 42, issue 5, 767-780

Abstract: This article is concerned with the problem of H∞ filter design for nonlinear Markovian jump neutral systems through the Takagi–Sugeno fuzzy model approach. By using a novel Markovian switched Lyapunov functional, a delay-dependent bounded real lemma (BRL) is presented in terms of linear matrix inequalities. Based on the derived BRL, both normal H∞ filters and non-fragile H∞ filters are designed, which guarantee that the corresponding filtering error systems are stochastically stable with a specified H∞ performance level. A numerical example is given to demonstrate the effectiveness of the proposed approach.

Date: 2011
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DOI: 10.1080/00207721003790351

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