A sliding mode observer for linear systems with unknown time varying delay

Author

Seuret, Alexandre ; Floquet, Thierry ; Richard, Jean-Pierre ; Spurgeon, Sarah K.

Author_Institution

LAGIS CNRS UMR 8146, Villeneuve-d´´Ascq

fYear

2007

fDate

9-13 July 2007

Firstpage

4558

Lastpage

4563

Abstract

The design of observers for linear systems with unknown, time-varying, bounded delays (on the state and on the input) still constitutes an open problem. In this paper, we show how to solve it for a class of systems by combining the sliding mode observer approach with an adequate choice of a Lyapunov-Krasovskii functional. This result provides workable conditions in terms of rank assumptions and LMI conditions. The dynamic properties of the observer are also analyzed. A 4th-order example is proposed to study the feasibility.

Keywords

Lyapunov methods; linear systems; observers; time-varying systems; uncertain systems; variable structure systems; 4th-order example; Lyapunov-Krasovskii functional; bounded delay; linear system; sliding mode observer; time-varying delay; unknown time varying delay; Cities and towns; Control systems; Delay effects; Delay lines; Delay systems; Linear matrix inequalities; Linear systems; Sliding mode control; Symmetric matrices; Time varying systems; Linear Matrix Inequalities; Sliding Mode Observer; Time-Delay Systems; Unknown Delay;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2007. ACC '07

Conference_Location

New York, NY

ISSN

0743-1619

Print_ISBN

1-4244-0988-8

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2007.4282449

Filename

4282449