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A Novel Approach to Filter Design for T–S Fuzzy Discrete-Time Systems With Time-Varying Delay

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4 Author(s)
Xiaojie Su ; Harbin Inst. of Technol., Harbin, China ; Peng Shi ; Ligang Wu ; Yong-Duan Song

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.

Published in:

Fuzzy Systems, IEEE Transactions on  (Volume:20 ,  Issue: 6 )