Robust mixed ℋ2/ℋ∞ filtering design for discrete-time switched polytopic linear systems

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Robust mixed ℋ2/ℋ∞ filtering design for discrete-time switched polytopic linear systems

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The authors deal with mode and parameter-dependent robust mixed ℋ2/ℋ∞ filtering design for a class of discrete-time switched polytopic linear systems. The objective is to design a homogeneous switched mixed ℋ2/ℋ∞ filter guaranteeing the asymptotic stability of the resulting filtering error systems with given performance measures. Based on a switched parameter-dependent Lyapunov function combined with Finsler's lemma, some novel conditions for robust ℋ2 and ℋ∞ performance analysis are proposed and in turn the filter synthesis is developed. It is shown that by using a new linearisation technique combined with a bounding approach, the filter gains can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness and less conservatism of the proposed approach.

Inspec keywords: time-varying systems; linear systems; discrete time systems; Lyapunov methods; H∞ control; asymptotic stability; linear matrix inequalities

Other keywords: linear matrix inequalities; switched polytopic linear system; asymptotic stability; Lyapunov function; Finsler lemma; robust mixed H2-H∞ filtering; discrete-time system

Subjects: Optimal control; Stability in control theory; Discrete control systems; Algebra; Time-varying control systems

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