Stability analysis for a class of affine nonlinear singular systems

Author

Wang, Wentao ; Sun, Tong ; Li, Yuan

Author_Institution

Fac. of Coll. of Sci., Shenyang Univ. of Technol., Shenyang, China

fYear

2012

fDate

23-25 May 2012

Firstpage

1349

Lastpage

1353

Abstract

The stability problems of nonlinear singular systems were studied. The concept of stability was proposed for a class of affine nonlinear singular systems, Lyapunov stability methods for the nonlinear systems were generalized to the nonlinear singular system, and the feedback stabilization problems of the nonlinear singular systems were considered. The conditions under which the systems can realize feedback stabilization were obtained. By means of the vector relative degree and the normal form of the systems, for regular nonlinear singular systems, the feedback control law was constructed in which the corresponding closed loop systems can realize stabilization.

Keywords

Lyapunov matrix equations; affine transforms; closed loop systems; control system synthesis; feedback; nonlinear systems; stability; Lyapunov stability methods; affine nonlinear singular systems; closed loop systems; feedback control law; feedback stabilization problems; regular nonlinear singular systems; stability analysis; stability problems; vector relative degree; Closed loop systems; Lyapunov methods; Nonlinear systems; Power system stability; Stability criteria; Vectors; Feedback stabilization; Lyapunov method; Nonlinear singular system; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244217

Filename

6244217