Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time

Author

Xudong Zhao ; Lixian Zhang ; Peng Shi ; Ming Liu

Author_Institution

Coll. of Inf. & Control Eng., China Univ. of Pet., Qingdao, China

Volume

57

Issue

7

fYear

2012

fDate

7/1/2012 12:00:00 AM

Firstpage

1809

Lastpage

1815

Abstract

In this paper, the stability and stabilization problems for a class of switched linear systems with mode-dependent average dwell time (MDADT) are investigated in both continuous-time and discrete-time contexts. The proposed switching law is more applicable in practice than the average dwell time (ADT) switching in which each mode in the underlying system has its own ADT. The stability criteria for switched systems with MDADT in nonlinear setting are firstly derived, by which the conditions for stability and stabilization for linear systems are also presented. A numerical example is given to show the validity and potential of the developed techniques.

Keywords

continuous time systems; discrete time systems; linear systems; nonlinear control systems; stability criteria; time-varying systems; MDADT; continuous time system; discrete time system; mode-dependent average dwell time; nonlinear system; stability criteria; stabilization; switched linear system stability; switching law; Linear systems; Numerical stability; Stability criteria; Switched systems; Switches; Mode-dependent average dwell time; stability; stabilization; switched linear systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2011.2178629

Filename

6097035