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

fYear

0

fDate

0-0 0

Firstpage

795

Lastpage

799

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 P_i and PDC gain K_i ^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;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2006 IEEE International Conference on

Conference_Location

Vancouver, BC

Print_ISBN

0-7803-9488-7

Type

conf

DOI

10.1109/FUZZY.2006.1681801

Filename

1681801