DocumentCode :
1493841
Title :
Decentralized H_{\\infty } Filter Design for Discrete-Time Interconnected Fuzzy Systems
Author :
Zhang, Hongbin ; Dang, Chuangyin ; Li, Chunguang
Author_Institution :
Sch. of Electron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Volume :
17
Issue :
6
fYear :
2009
Firstpage :
1428
Lastpage :
1440
Abstract :
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.
Keywords :
Hinfin control; Lyapunov matrix equations; control system synthesis; decentralised control; discrete time systems; filtering theory; fuzzy systems; interconnected systems; linear matrix inequalities; stability; J discrete-time interconnected Takagi-Sugeno fuzzy subsystems; decentralized Hinfin filter design; filtering-error system stability; linear matrix inequalities; piecewise-quadratic Lyapunov functions; $H_infty$ filter; Decentralized; Takagi–Sugeno (T–S) model; interconnected fuzzy system; linear matrix inequalities (LMIs);
fLanguage :
English
Journal_Title :
Fuzzy Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
1063-6706
Type :
jour
DOI :
10.1109/TFUZZ.2009.2033792
Filename :
5280326
Link To Document :
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