A Novel approach to filter design for T-S fuzzy discrete-time systems with time-varying delay

Date

2012

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Su, X.
Shi, P.
Wu, L.
Song, Y.

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IEEE Transactions on Fuzzy Systems, 2012; 20(6):1114-1129

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Xiaojie Su, Peng Shi, Ligang Wu and Yong-Duan Song

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Abstract

In this paper, the problem of l2- l∞ filtering for a class of discrete-time Takagi-Sugeno (T-S) fuzzy time-varying delay systems is studied. Our attention is focused on the design of full- and reduced-order filters that guarantee the filtering error system to be asymptotically stable with a prescribed H∞ performance. Sufficient conditions for the obtained filtering error system are proposed by applying an input-output approach and a two-term approximation method, which is employed to approximate the time-varying delay. The corresponding full- and reduced-order filter design is cast into a convex optimization problem, which can be efficiently solved by standard numerical algorithms. Finally, simulation examples are provided to illustrate the effectiveness of the proposed approaches.

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