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

fYear

2009

fDate

10-12 June 2009

Firstpage

1754

Lastpage

1759

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;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2009. ACC '09.

Conference_Location

St. Louis, MO

ISSN

0743-1619

Print_ISBN

978-1-4244-4523-3

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2009.5160070

Filename

5160070