Conic stable switching law design for second-order switched linear systems

Author

Sun, Changchun ; Fang, Bo ; Huang, Wenhu

Author_Institution

Sch. of Astronaut., Harbin Inst. of Technol., Harbin, China

fYear

2011

fDate

23-25 May 2011

Firstpage

3107

Lastpage

3111

Abstract

The problems of asymptotic stability for two classes of second-order switched linear systems are considered. Sufficient and necessary conditions of having a stable convex combination for diagonal state matrices and the relation between coefficients of conic switching control law and elements of diagonal state matrices are put forward respectively. Finally, under the assumption that state matrices of a class of second-order systems do not have a stable convex combination, conic switching control laws are designed to guarantee the systems be asymptotical stable. The simulation results illustrate the validity of the designed methods in this paper.

Keywords

asymptotic stability; control system synthesis; geometry; linear systems; matrix algebra; time-varying systems; asymptotic stability; conic stable switching law design; diagonal state matrices; second-order switched linear systems; stable convex combination; Asymptotic stability; Linear systems; Stability analysis; Switched systems; Switches; Trajectory; Asymptotic stability; Conic switching law; Convex combination; Switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2011 Chinese

Conference_Location

Mianyang

Print_ISBN

978-1-4244-8737-0

Type

conf

DOI

10.1109/CCDC.2011.5968789

Filename

5968789