Local bifurcation control in a rotor-magnetic bearing system
Date
2003
Authors
Ji, J.
Hansen, C.
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Journal article
Citation
International Journal of Bifurcation and Chaos, 2003; 13(4):951-956
Statement of Responsibility
J. C. Ji and Colin H. Hansen
Conference Name
Abstract
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.