Title :
Switching controller for stabilization of linear systems with switched time-varying delays
Author :
Jiang, Wenjuan ; Fridman, Emilia ; Kruszewski, Alexandre ; Richard, Jean-Pierre
Author_Institution :
CNRS, Ecole Centrale de Lille, Villeneuve d´´Ascq, France
Abstract :
This paper considers interval time-varying delay systems with delayed estimation of the delay. This case is often encountered in the Networked Control Systems (NCS) field. Based on Lyapunov-Krasovskii functional methods and linear matrix inequality (LMI) techniques, a switching state feedback controller is designed to guarantee the exponential stability. The controller switches according to the measured time-delay which is itself delayed. The global stability of the switching closed loop is guaranteed if some dwell time conditions are satisfied.
Keywords :
Lyapunov methods; asymptotic stability; closed loop systems; delays; distributed control; linear matrix inequalities; linear systems; state feedback; time-varying systems; Lyapunov-Krasovskii functional method; delayed estimation; exponential stability; interval time varying delay system; linear matrix inequality; linear systems stabilization; networked control system; switched time varying delay; switching closed loop stability; switching controller; switching state feedback controller; Control systems; Delay estimation; Delay systems; Linear feedback control systems; Linear matrix inequalities; Linear systems; Networked control systems; Stability; State feedback; Time varying systems; LMI; Lyapunov-Krasovskii functional; delayed switching signal; switching systems; time-varying delay;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400666
