Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244217
