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|Title:||Local bifurcation control in a rotor-magnetic bearing system|
|Citation:||International Journal of Bifurcation and Chaos, 2003; 13(4):951-956|
|Publisher:||World Scientific Publ Co Pte Ltd|
|J. C. Ji and Colin H. Hansen|
|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.|
|Keywords:||bifurcation control; codimension two bifurcation; nonlinear feedback control; Hopf bifurcation; magnetic bearing system|
|Appears in Collections:||Mechanical Engineering publications|
Environment Institute publications
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