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Design on \(H_\infty\)-filtering for discrete-time switched delay systems. (English) Zbl 1260.93162

Summary: This article is concerned with the delay-dependent \(H_\infty\)-filtering problem for discrete-time switched systems with a state delay. By using the switched Lyapunov functional method and choosing a new Lyapunov–Krasovskii functional, and, furthermore, utilizing the linearization technique, sufficient conditions on the existence of a desired filter are formulated as strict Linear Matrix Inequalities (LMIs). Neither model transformation nor the bounding technique for cross-terms is involved. A numerical example is provided to illustrate the effectiveness of the proposed method.

MSC:

93E11 Filtering in stochastic control theory
93D30 Lyapunov and storage functions
93C55 Discrete-time control/observation systems
93B18 Linearizations
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