Absolute stability to observer design for time delay systems with sector- bounded nonlinearities

Author

Kacem, Walid ; Chaabane, Mohamed ; Mehdi, Driss

Author_Institution

Nat. Sch. of Eng. of Sfax, Sfax

fYear

2008

fDate

25-27 June 2008

Firstpage

837

Lastpage

841

Abstract

This paper deals with the observer design for nonlinear time delay systems. The approach is to represent the observer error system as the feedback interconnection of a linear system and a time varying nonlinearity. The proposed result developed for designing the observer is in term of linear matrix inequalities (LMI) that guarantees the global uniform asymptotic stability of the error dynamic system. Numerical examples are provided to demonstrate the effectiveness of the proposed results.

Keywords

asymptotic stability; delay systems; feedback; linear matrix inequalities; linear systems; nonlinear systems; observers; time-varying systems; absolute stability; feedback interconnection; global uniform asymptotic stability; linear matrix inequality; linear system; nonlinear time delay system; observer design; observer error system; sector-bounded nonlinearity; time varying nonlinearity; Asymptotic stability; Automatic control; Control systems; Delay effects; Feedback; Linear systems; Nonlinear dynamical systems; Robust stability; Symmetric matrices; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2008 16th Mediterranean Conference on

Conference_Location

Ajaccio

Print_ISBN

978-1-4244-2504-4

Electronic_ISBN

978-1-4244-2505-1

Type

conf

DOI

10.1109/MED.2008.4602229

Filename

4602229