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

Volume

2

fYear

2006

fDate

8-11 Oct. 2006

Firstpage

1716

Lastpage

1720

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; 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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICSMC.2006.384967

Filename

4274101