Switching Stabilization for a Class of Slowly Switched Systems

Author

Xudong Zhao ; Shen Yin ; Hongyi Li ; Ben Niu

Author_Institution

Coll. of Eng., Bohai Univ., Jinzhou, China

Volume

60

Issue

1

fYear

2015

fDate

Jan. 2015

Firstpage

221

Lastpage

226

Abstract

In this technical note, the problem of switching stabilization for slowly switched linear systems is investigated. In particular, the considered systems can be composed of all unstable subsystems. Based on the invariant subspace theory, the switching signal with mode-dependent average dwell time (MDADT) property is designed to exponentially stabilize the underlying system. Furthermore, sufficient condition of stabilization for switched systems with all stable subsystems under MDADT switching is also given. The correctness and effectiveness of the proposed approaches are illustrated by a numerical example.

Keywords

asymptotic stability; linear systems; switching systems (control); MDADT property; MDADT switching; exponential stability; invariant subspace theory; mode-dependent average dwell time property; slowly switched linear system; sufficient condition; switched systems; switching signal; switching stabilization; Asymptotic stability; Educational institutions; Linear systems; Stability analysis; 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.2014.2322961

Filename

6813644