Title :
Stabilization for Large-Scale Fuzzy Systems with Decentralized Fuzzy Control
Author :
Wang, Wen-June ; Lin, Wei-Wei ; Yang, Shu-Han
Author_Institution :
Nat. Chi Nan Univ., Puli
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; control system synthesis; decentralised control; fuzzy control; large-scale systems; linear matrix inequalities; Lyapunov criteria; T-S fuzzy subsystems; control design; decentralized parallel distributed compensation fuzzy control; decentralized stabilization problem; large-scale fuzzy systems; linear matrix inequalities; nonlinear interconnections; 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 :
Systems, Man and Cybernetics, 2006. SMC '06. IEEE International Conference on
Conference_Location :
Taipei
Print_ISBN :
1-4244-0099-6
Electronic_ISBN :
1-4244-0100-3
DOI :
10.1109/ICSMC.2006.384967