Local bifurcation control in a rotor-magnetic bearing system

dc.contributor.author	Ji, J.
dc.contributor.author	Hansen, C.
dc.date.issued	2003
dc.description.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.
dc.description.statementofresponsibility	J. C. Ji and Colin H. Hansen
dc.identifier.citation	International Journal of Bifurcation and Chaos, 2003; 13(4):951-956
dc.identifier.doi	10.1142/S0218127403007060
dc.identifier.issn	0218-1274
dc.identifier.issn	1793-6551
dc.identifier.orcid	Hansen, C. [0000-0002-1444-4716]
dc.identifier.uri	http://hdl.handle.net/2440/2771
dc.language.iso	en
dc.publisher	World Scientific Publ Co Pte Ltd
dc.source.uri	https://doi.org/10.1142/s0218127403007060
dc.subject	bifurcation control
dc.subject	codimension two bifurcation
dc.subject	nonlinear feedback control
dc.subject	Hopf bifurcation
dc.subject	magnetic bearing system
dc.title	Local bifurcation control in a rotor-magnetic bearing system
dc.type	Journal article
pubs.publication-status	Published

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