Local bifurcation control in a rotor-magnetic bearing system

被引：6
|
作者：
Ji, JC [1 ]
Hansen, CH [1 ]
机构：
[1] Univ Adelaide, Dept Mech Engn, Adelaide, SA 5005, Australia
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 04期
关键词：
bifurcation control; codimension two bifurcation; nonlinear feedback control; Hopf bifurcation; magnetic bearing system;
D O I：
10.1142/S0218127403007060
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Linear-plus-nonlinear feedback control is used to stabilize Hopf bifurcation in a rotor-magnetic bearing system, for which the linearized system possesses a double zero eigenvalues. The addition of nonlinear (quadratic) terms to the original linear feedback control formulation is used to modify the coefficients of the nonlinear terms in the reduced normal forms. It is found that feedback control incorporating certain quadratic terms renders the Hopf bifurcation supercritical. Finally, illustrative examples are given to verify the analytical results.
引用
收藏
页码：951 / 956
页数：6
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