Fuzzy Lyapunov decentralized control of Takagi-Sugeno interconnected descriptors

Author

Jabri, Dalel ; Guelton, Kevin ; Manamann, Noureddine ; Abdelkrim, Mohamed Naceur

Author_Institution

CReSTIC-URCA, Univ. of Reims Champagne-Ardennes, Reims

fYear

2009

Firstpage

34

Lastpage

40

Abstract

This paper deals with decentralized stabilization of nonlinear systems composed of interconnected Takagi-Sugeno fuzzy descriptors. To ensure the stability of the overall closed-loop system, a set of decentralized Parallel Distributed Compensations (PDC) controllers is employed. The stability conditions are then derived into Linear Matrix Inequalities (LMI) using a fuzzy Lyapunov function for less conservatism. Nevertheless, it contains decision parameters that are not available in practice. So the LMIs are casted into relaxed quadratic conditions using simple assumptions. Finally, a numerical example is proposed to illustrate the effectiveness of the suggested decentralized approach.

Keywords

Lyapunov methods; closed loop systems; compensation; decentralised control; distributed control; fuzzy control; interconnected systems; linear matrix inequalities; nonlinear control systems; stability; Takagi-Sugeno interconnected descriptor; closed-loop system; decentralized parallel distributed compensation controller; fuzzy Lyapunov decentralized control; linear matrix inequality; nonlinear system stabilization; Control system synthesis; Distributed control; Fuzzy control; Fuzzy sets; Fuzzy systems; Interconnected systems; Lyapunov method; Nonlinear systems; Stability; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence in Control and Automation, 2009. CICA 2009. IEEE Symposium on

Conference_Location

Nashville, TN

Print_ISBN

978-1-4244-2752-9

Type

conf

DOI

10.1109/CICA.2009.4982780

Filename

4982780