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Homogenous Polynomially Parameter-Dependent H_{ \infty } Filter Designs of Discrete-Time Fuzzy Systems

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3 Author(s)
Huaguang Zhang ; Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China ; Xiangpeng Xie ; Shaocheng Tong

This paper proposes a novel H filtering technique for a class of discrete-time fuzzy systems. First, a novel kind of fuzzy H filter, which is homogenous polynomially parameter dependent on membership functions with an arbitrary degree, is developed to guarantee the asymptotic stability and a prescribed H performance of the filtering error system. Second, relaxed conditions for H performance analysis are proposed by using a new fuzzy Lyapunov function and the Finsler lemma with homogenous polynomial matrix Lagrange multipliers. Then, based on a new kind of slack variable technique, relaxed linear matrix inequality-based H filtering conditions are proposed. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed approach.

Published in:

Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on  (Volume:41 ,  Issue: 5 )

Date of Publication:

Oct. 2011

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