Decentralized control of large scale switched Takagi-Sugeno systems

Author

Jabri, Dalel ; Guelton, Kevin ; Manamanni, Noureddine

Author_Institution

Univ. of Reims Champagne-Ardenne, Reims, France

fYear

2011

fDate

27-30 June 2011

Firstpage

322

Lastpage

328

Abstract

This paper deals with decentralized stabilization of large scale switched nonlinear systems under arbitrary switching laws. A global large scale switched system can be split into a set of smaller interconnected switched Takagi Sugeno fuzzy subsystems. Then, in order to stabilize the overall closed-loop system, a set of switched non-PDC controllers is employed. The latter is designed based on Linear Matrix Inequalities (LMI) conditions obtained from a multiple switched non quadratic like-Lyapunov candidate function. A numerical example is proposed to illustrate the effectiveness of the suggested decentralized switched controller design approach.

Keywords

Lyapunov methods; closed loop systems; control system synthesis; decentralised control; interconnected systems; linear matrix inequalities; nonlinear control systems; stability; time-varying systems; closed loop system; decentralized control; decentralized stabilization; decentralized switched controller design; interconnected switched Takagi Sugeno fuzzy subsystem; large scale switched nonlinear system; linear matrix inequality; multiple switched non quadratic Lyapunov candidate function; switched nonPDC controller; Fuzzy systems; Lyapunov methods; Nonlinear systems; Stability analysis; Switched systems; Switches; arbitrary switching laws; decentralized control; multiple switched non quadratic like-Lyapunov functional; stabilizing non-PDC control law; switched fuzzy system;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems (FUZZ), 2011 IEEE International Conference on

Conference_Location

Taipei

ISSN

1098-7584

Print_ISBN

978-1-4244-7315-1

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2011.6007415

Filename

6007415