文章基本信息

标题：H ∞ $H_{\infty}$ Fuzzy filtering for nonlinear singular systems with time-varying delay
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作者：Lili Liu ; Ding Zhai ; Anyang Lu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：92
DOI：10.1186/s13662-015-0427-5
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper considers the H ∞ $H_{\infty}$ fuzzy filtering problem for continuous-time nonlinear singular systems with time-varying delay through the T-S fuzzy model approach. Firstly, by combining a reciprocally convex combination lemma and the fuzzy Lyapunov-Krasovskii function method, a new bounded real lemma (BRL) is proposed such that the resultant closed-loop systems are admissible and satisfy the prescribed H ∞ $H_{\infty}$ disturbance attenuation. Then, by using the matrix decoupling technique, we translate the BRL into another form, which separates the coefficient matrices of systems and Lyapunov matrices. On the basis of such a new form of BRL, the fuzzy filter design problem is solved by checking the feasibility of a series of linear matrix inequalities (LMIs), and the filter gains can also be provided explicitly. Numerical examples are presented to show the reduction of the conservativeness compared to some published results in the literature.
关键词：$H_{\infty}$ Fuzzy filtering ; nonlinear singular systems ; T-S fuzzy model ; time-varying delay ; reciprocally convex combination ; linear matrix inequalities (LMIs)