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access icon free Delay-dependent decentralised H ∞ filtering for fuzzy interconnected systems with time-varying delay based on Takagi–Sugeno fuzzy model

© The Institution of Engineering and Technology
Received 01/12/2011, Accepted 16/12/2012, Revised 12/11/2012, Published

This study focuses on the problem of delay-dependent H ∞ filter design for non-linear interconnected systems with time-varying delays via Takagi–Sugeno fuzzy models. Based on the delay-dependent fuzzy Lyapunov–Krasovskii functional and the fuzzy-free weighting matrix technique, the delay-dependent stability and a prescribed H ∞ performance index are guaranteed for the overall filtering-error system. In addition, a sufficient condition for the existence of such a filter is established by using linear matrix inequalities that are numerically feasible. Finally, two examples are given to demonstrate the effectiveness and advantage of the proposed approach.

Inspec keywords: nonlinear systems; delays; H∞ filters; multivariable systems; time-varying systems; interconnected systems; Lyapunov methods; linear matrix inequalities; fuzzy set theory; H∞ filters

Other keywords: filtering error system; fuzzy free weighting matrix technique; H∞ performance index; nonlinear interconnected systems; linear matrix inequalities; delay dependent decentralised H∞ filtering; delay dependent fuzzy Lyapunov-Krasovskii functiona; Takagi-Sugeno fuzzy model; time-varying delay; fuzzy interconnected systems; delay dependent decentralised H∞ filtering; H∞ performance index

Subjects: Combinatorial mathematics; Filtering methods in signal processing; Algebra; Signal processing theory; Combinatorial mathematics; Algebra

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