Title :
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
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;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282449
