Stabilization of switched nonlinear systems using multiple Lyapunov function method

Author

Wang, Min ; Feng, Jiaxin ; Dimirovski, Georgi M. ; Zhao, Jun

Author_Institution

Key Lab. of Integrated Autom. of Process Ind., Northeastern Univ., Shenyang, China

fYear

2009

fDate

10-12 June 2009

Firstpage

1778

Lastpage

1782

Abstract

The stabilization of a class of single input switched nonlinear systems is investigated in the paper. The systems concerned are of switched upper-triangular structure. The stabilization of the switched system under some switching law is investigated. Sufficient conditions are given under which the globally asymptotically stabilization problem is solvable. We exploit the structural characteristics of the switched nonlinear systems to construct the Lyapunov functions. The switching law and a nonlinear switched state feedback controller are explicitly designed. The relevant result for the linear switched system with the same structure is particularized.

Keywords

Lyapunov methods; asymptotic stability; nonlinear control systems; multiple Lyapunov function method; switched nonlinear systems; switched upper-triangular structure; Communication system control; Control systems; Environmental factors; Lyapunov method; Nonlinear control systems; Nonlinear systems; Stability; State feedback; Sufficient conditions; Switched systems;

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.2009.5160281

Filename

5160281