Title :
Decentralized guaranteed cost control synthesis in fuzzy interconnected systems
Author :
Lin, Wei-Wei ; Yang, Shu-Han ; Wang, Wen-June
Author_Institution :
Nat. Central Univ., Jhongli
Abstract :
This paper studies the problem of guaranteed cost control for a nonlinear interconnected system which is composed by a number of Takagi-Sugeno (T-S) fuzzy subsystems with interconnections. A linear quadratic cost function is considered as the performance index of the closed-loop fuzzy interconnected system. Then, the decentralized guaranteed cost fuzzy control for each rule of the subsystem is synthesized by parallel distributed compensation (PDC). Based on the Lyapunov criterion and linear matrix inequalities (LMIs) method, some sufficient conditions are derived to obtain the local state feedback gain of the PDC control such that the whole closed-loop fuzzy interconnected system is not only asymptotically stable but also cost guaranteed. Finally, we give a practical example to illustrate the effectiveness of the proposed criterion.
Keywords :
Lyapunov matrix equations; closed loop systems; fuzzy control; interconnected systems; linear matrix inequalities; state feedback; LMI; Lyapunov criterion; Takagi-Sugeno fuzzy subsystems; closed-loop fuzzy interconnected system; decentralized guaranteed cost control synthesis; linear matrix inequalities; local state feedback gain; parallel distributed compensation; Control system synthesis; Control systems; Cost function; Fuzzy control; Fuzzy systems; Interconnected systems; Linear matrix inequalities; Nonlinear control systems; Performance analysis; Takagi-Sugeno model;
Conference_Titel :
Systems, Man and Cybernetics, 2007. ISIC. IEEE International Conference on
Conference_Location :
Montreal, Que.
Print_ISBN :
978-1-4244-0990-7
Electronic_ISBN :
978-1-4244-0991-4
DOI :
10.1109/ICSMC.2007.4413615