Output stabilisation in multiple model approach to modelling

Author

Chadli, Mohammed ; Maquin, Didier ; Ragot, José

Author_Institution

Centre de Recherche en Autom. de Nancy, Vandoeuvre-les-Nancy, France

Volume

2

fYear

2002

fDate

2002

Firstpage

1315

Abstract

In this paper, the separation principle for discrete nonlinear systems in multiple model representation is investigated. The separation principle deals with a property which allows the multiple observer and the multiple controller to be designed separately. Using the quadratic Lyapunov technique and LMIs (Linear Matrix Inequalities) formulation, sufficient conditions for the global exponential stability of discrete multiple controllers are derived which are dual to those for the global exponential convergence of discrete multiple observers. A numerical example is given to illustrate the method.

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; discrete systems; linear matrix inequalities; multivariable control systems; nonlinear control systems; observers; stability criteria; Takagi-Sugeno system; discrete multiple controllers; discrete multiple observers; discrete nonlinear systems; global exponential convergence; global exponential stability; linear matrix inequalities; multiple controller design; multiple model approach; multiple observer design; numerical example; output stabilisation; quadratic Lyapunov technique; separation principle; sufficient conditions; Linear feedback control systems; Linear matrix inequalities; Linear systems; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Stability; State feedback; Sufficient conditions; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, 2002. Proceedings of the 2002 International Conference on

Print_ISBN

0-7803-7386-3

Type

conf

DOI

10.1109/CCA.2002.1038797

Filename

1038797