H∞ filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach

Authors:
Shaosheng Zhou;James Lam;Anke Xue
Affiliations:
Department of Automation, Hangzhou Dianzi University, Hangzhou, Zhejiang 310037, PR China;Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong;Department of Automation, Hangzhou Dianzi University, Hangzhou, Zhejiang 310037, PR China
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

This paper is concerned with the H"~ filtering problem for a class of discrete-time fuzzy systems. Attention is focused on the design of a stable filter guaranteeing a prescribed noise attenuation level in the H"~ sense. By using basis-dependent Lyapunov functions, sufficient conditions for the solvability of this problem are obtained. It has been shown that the H"~ filtering problem can be solved as a linear matrix inequality (LMI) optimization problem. Two examples are provided to demonstrate the applicability of the proposed approach.