DocumentCode :
1000567
Title :
Stability and stabilization of fuzzy large-scale systems
Author :
Wang, Wen-June ; Leh Luoh
Author_Institution :
Dept. of Electr. Eng., Nat. Central Univ., Chung-li, Taiwan
Volume :
12
Issue :
3
fYear :
2004
fDate :
6/1/2004 12:00:00 AM
Firstpage :
309
Lastpage :
315
Abstract :
This paper investigates the stability and stabilization problems for the fuzzy large-scale system in which the system is composed of a number of Takagi-Sugeno fuzzy model subsystems with interconnections. The stability criterion of the fuzzy large-scale system without control is derived first. Instead of fuzzy parallel distributed compensation design, linear state feedback control is used in the stabilization work. Each local control is obtained from Riccati equation of the corresponding subsystem and the interconnection terms are used to determine the local feedback gain determination. Based on Lyapunov criterion, some conditions are derived under which the whole fuzzy large-scale system is stabilized asymptotically. A numerical example is given to illustrate the control design procedure and its effectiveness.
Keywords :
Lyapunov methods; Riccati equations; asymptotic stability; control system synthesis; fuzzy control; fuzzy systems; interconnected systems; stability criteria; state feedback; Lyapunov criterion; Riccati equation; Takagi Sugeno fuzzy model; asymptotic stability; fuzzy large scale system; linear state feedback control; stability criteria; Control design; Control systems; Fuzzy control; Fuzzy systems; Large-scale systems; Linear feedback control systems; Riccati equations; Stability criteria; State feedback; Takagi-Sugeno model; Fuzzy control; Lyapunov criterion; T–S; Takagi–Sugeno; fuzzy model; large-scale system;
fLanguage :
English
Journal_Title :
Fuzzy Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
1063-6706
Type :
jour
DOI :
10.1109/TFUZZ.2004.825975
Filename :
1303601
Link To Document :
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