Title :
Stabilization for Large-scale Fuzzy Systems by Decentralized Fuzzy Control
Author :
Lin, Wei-Wei ; Wang, Wen-June ; Yang, Shu-Han ; Chen, Ying-Jen
Author_Institution :
Nat. Central Univ., Jhong-li
Abstract :
The purpose of this paper deals with the decentralized stabilization problem for a large-scale system in which the system is composed of several T-S fuzzy subsystems with nonlinear interconnections. The decentralized parallel distributed compensation (PDC) fuzzy control in each subsystem is designed to stabilize the whole system. Based on Lyapunov criteria, the stabilization theorem is proposed. Moreover, in the theorem, the positive definite matrices Pi and PDC gain Ki l can be obtained by linear matrix inequalities (LMI) toolbox of Matlab. Finally, we give a numerical example to illustrate the control design and effectiveness.
Keywords :
Lyapunov methods; closed loop systems; compensation; control system synthesis; decentralised control; fuzzy control; fuzzy systems; large-scale systems; linear matrix inequalities; mathematics computing; nonlinear control systems; stability; Lyapunov criteria; Matlab; T-S fuzzy subsystems; decentralized parallel distributed compensation fuzzy control; fuzzy control design method; large-scale fuzzy system stabilization; linear matrix inequalities; nonlinear interconnection system; positive definite matrices; Control systems; Fuzzy control; Fuzzy systems; Large-scale systems; Linear matrix inequalities; Lyapunov method; Optimal control; Riccati equations; Robust control; State feedback;
Conference_Titel :
Fuzzy Systems, 2006 IEEE International Conference on
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-9488-7
DOI :
10.1109/FUZZY.2006.1681801
