Title :
Robust fuzzy control for uncertain Markovian jump nonlinear singular systems
Author :
Zhang, Aiqing ; Fang, Huajing
Author_Institution :
Coll. of Math. & Comput. Sci., Jianghan Univ., Wuhan, China
Abstract :
This paper deals with the problem of robust stochastic stabilization for Markovian jump nonlinear singular systems with Wiener process via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular system with norm-bounded parameter uncertainties and Markovian jump parameters. The purpose of the robust stochastic stabilization problem is to design a state feedback fuzzy controller such that the closed-loop fuzzy system is robustly stochastically stable for all admissible uncertainties. Linear matrix inequality (LMI) sufficient conditions are developed to solve the above problem. The expression of desired state feedback fuzzy controller is given. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.
Keywords :
Markov processes; closed loop systems; control system synthesis; fuzzy control; linear matrix inequalities; nonlinear control systems; robust control; state feedback; stochastic systems; uncertain systems; Takagi-Sugeno fuzzy model; Wiener process; closed-loop fuzzy system; linear matrix inequality; nonlinear singular systems; norm-bounded parameter uncertainties; robust fuzzy control; robust stochastic stabilization problem; state feedback fuzzy controller design; uncertain Markovian jump systems; Control systems; Fuzzy control; Fuzzy systems; Robust control; Robustness; State feedback; Stochastic systems; Takagi-Sugeno model; Uncertain systems; Uncertainty;
Conference_Titel :
Information and Automation, 2009. ICIA '09. International Conference on
Conference_Location :
Zhuhai, Macau
Print_ISBN :
978-1-4244-3607-1
Electronic_ISBN :
978-1-4244-3608-8
DOI :
10.1109/ICINFA.2009.5204932
