Title :
Stability of feedback switched systems with state and switching delays
Author :
Vu, Linh ; Morgansen, Kristi A.
Author_Institution :
Dept. of Aeronaut. & Astronaut., Univ. of Washington, Seattle, WA, USA
Abstract :
We study stability of state feedback switched systems in which time delays are present in both the feedback state and the switching signal of the controller. For switched linear systems with average dwell-time switching signals, we provide a condition in terms of upper bounds on the delays and a lower bound on the average dwell-time to guarantee asymptotic stability of the closed loop. Our approach employs multiple Lyapunov functions and the merging switching signal technique. We then apply our stability results in switched systems to consensus networks with asymmetric time-varying delays and switching topologies.
Keywords :
asymptotic stability; delays; linear systems; state feedback; time-varying systems; Lyapunov function; asymmetric time-varying delay; asymptotic stability; average dwell-time switching signal; feedback state; lower bound; state delay; state feedback switched system; switched linear system; switching delay; switching signal technique; switching topologies; time delay; upper bound; Asymptotic stability; Control systems; Delay effects; Linear systems; Lyapunov method; Merging; State feedback; Switched systems; Time varying systems; Upper bound;
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2009.5160070
