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Decentralized H_{\infty } Filter Design for Discrete-Time Interconnected Fuzzy Systems

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3 Author(s)
Hongbin Zhang ; Sch. of Electron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China ; Chuangyin Dang ; Chunguang Li

This paper describes a decentralized H infin filter design for discrete-time interconnected fuzzy systems based on piecewise-quadratic Lyapunov functions. The systems consist of J discrete-time interconnected Takagi-Sugeno (T-S) fuzzy subsystems, and a decentralized H infin filter is designed for each subsystem. It is shown that the stability of the overall filtering-error system with H infin performance can be established if a piecewise-quadratic Lyapunov function can be constructed. Moreover, the parameters of filters can be obtained by solving a set of linear matrix inequalities that are numerically feasible. Two simulation examples are given to show the effectiveness of the proposed approach.

Published in:

IEEE Transactions on Fuzzy Systems  (Volume:17 ,  Issue: 6 )