Title :
Stabilization design for nonlinear systems based on center manifolds
Author :
Xiushan Cai ; Huang Huadong
Author_Institution :
Coll. of Math., Zhejiang Normal Univ., Jinhua, China
Abstract :
Stabilization problem for nonlinear systems with Hopf bifurcations is dealt with in this paper. The link between a feedback control and a center manifold is obtained. By choosing a feedback control that stabilizes the dynamics of a center manifold, then it can stabilize the full order system. The simulation shows the effectiveness of the method.
Keywords :
bifurcation; control system synthesis; feedback; nonlinear control systems; stability; Hopf bifurcation; center manifold; feedback control; full order system stability; nonlinear systems; stabilization design; Bifurcation; Closed loop systems; Eigenvalues and eigenfunctions; Manifolds; Nonlinear systems; Vectors; Center Manifolds; Nonlinear Systems; Stabilization;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6895959
