Observer Design for a Certain Class of Nonlinear Systems

Author

Zemouche, Ali ; Boutayeb, Mohamed ; BARA, G. Iulia

Author_Institution

LSIIT-UMR, CNRS-ULP, Illkirch

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

1673

Lastpage

1678

Abstract

This paper investigates the observers design for a class of nonlinear dynamical systems. Our main contribution consists in the extension of the work in Arcak, M. et al, (2001-2003) to a more general class of nonlinear systems. This extension is obtained by means of the differential mean value theorem. The stability analysis is performed using a standard Lyapunov function that leads to the solvability of an easily tractable linear matrix inequality (LMI). Numerical examples are provided in order to demonstrate the good performance of the proposed approach and the large class of nonlinear dynamical systems that are concerned

Keywords

Lyapunov methods; linear matrix inequalities; nonlinear dynamical systems; observers; stability; Lyapunov function; differential mean value theorem; linear matrix inequality; nonlinear dynamical systems; nonlinear systems; observer design; stability analysis; Control systems; Estimation error; Jacobian matrices; Lyapunov method; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Riccati equations; Stability analysis; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377355

Filename

4177127