Exponential stabilization of second-order switched systems: Necessary and sufficient conditions

Author

Cong, Shen ; Yin, LiPing ; Zou, Yun

Author_Institution

Dept. of Autom., Univ. of Sci. & Technol., Nanjing, China

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

3859

Lastpage

3863

Abstract

The stabilizability problem of planar switched systems is investigated. Based on the polar-coordinates interpretation, the intrinsical connections between the conic switching rule and the qualitative features of the subsystems are presented. Therefore, necessary and sufficient stabilizability conditions are established. The stabilizing switching rules are categorized into two types, termed swinging switching and whirling switching, which both constitute the periodic switching sequences. Moreover, the convergence of the forced trajectory is exhibited in a uniform manner. Illustrative examples are provided to demonstrate our result.

Keywords

asymptotic stability; time-varying systems; exponential stabilization; periodic switching sequences; planar switched systems; polar-coordinates interpretation; second-order switched systems; swinging switching; whirling switching; Automatic control; Automation; Character generation; Convergence; Information science; Inverse problems; Lyapunov method; Stability; Sufficient conditions; Switched systems; Planar switched systems; conic switching; exponential stabilization; periodic switching sequence;

fLanguage

English

Publisher

ieee

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

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399680

Filename

5399680