Observers for a Class of Nonlinear Singular Systems

Author

Darouach, M. ; Boutat-Baddas, L.

Author_Institution

CRAN-CNRS (UMR 7039), Nancy Univ., Vandoeuvre-Les-Nancy

Volume

53

Issue

11

fYear

2008

Firstpage

2627

Lastpage

2633

Abstract

This technical note considers the observers design for a class of nonlinear singular systems. The approach is based on the new parameterization of the generalized Sylvester equations solutions. The conditions for the existence of these observers are given and sufficient conditions for their stability are derived using linear matrix inequalities (LMIs) formulation. Reduced-order, minimal-order and full-order observers are designed by a unified method. A numerical example is presented to demonstrate the effectiveness of the developed method.

Keywords

linear matrix inequalities; nonlinear control systems; observers; reduced order systems; stability; full-order observers; generalized Sylvester equations; linear matrix inequalities; minimal-order observers; nonlinear singular systems; reduced-order observers; stability; Chemical industry; Linear matrix inequalities; Linear systems; Minerals; Nonlinear equations; Nonlinear systems; Observers; Stability; State estimation; Sufficient conditions; Existence conditions; full order; generalized Sylvester equations; linear matrix inequalities (LMIs); minimal order; reduced order; singular systems; stability; unknown input estimation;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2008.2007868

Filename

4700855