DocumentCode :
3298292
Title :
Observer-based robust fuzzy controller design for uncertain stochastic T-S fuzzy model with passivity performance
Author :
Ku, Cheung-Chieh ; Huang, Pei-Hwa ; Chang, Wen-Jer
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Ocean Univ., Keelung, Taiwan
fYear :
2009
fDate :
15-18 Dec. 2009
Firstpage :
7783
Lastpage :
7788
Abstract :
The issue of observer-based robust passive fuzzy controller design is discussed and investigated in this paper for uncertain stochastic Takagi-Sugeno (T-S) fuzzy model with external disturbance. For describing the stochastic behaviors of system, the stochastic differential equation is used to structure the stochastic T-S fuzzy model for representing the nonlinear stochastic systems. Using the Lyapunov function and passivity theory, the sufficient stability condition can be derived in term of linear matrix inequality (LMI) by Ito¿´s formula. With stability conditions, a less conservatism design method is developed to synthesize the state feedback fuzzy controller and fuzzy observer for guaranteeing the asymptotical stability and strictly input passivity of system in the mean square.
Keywords :
Lyapunov methods; control system synthesis; differential equations; fuzzy control; linear matrix inequalities; nonlinear control systems; observers; robust control; stochastic systems; uncertain systems; Ito¿´s formula; Lyapunov function; linear matrix inequality; nonlinear stochastic systems; observer; passivity theory; robust fuzzy controller design; stability; stochastic differential equation; uncertain stochastic T-S fuzzy model; Asymptotic stability; Differential equations; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Robust control; Stochastic processes; Stochastic systems; Takagi-Sugeno model;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
ISSN :
0191-2216
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
Type :
conf
DOI :
10.1109/CDC.2009.5399806
Filename :
5399806
Link To Document :
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