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Global stabilization of the oscillating eccentric rotor
dc.contributor.authorWan, Chih-Jianen_US
dc.contributor.authorBernstein, Dennis S.en_US
dc.contributor.authorCoppola, Vincent T.en_US
dc.date.accessioned2006-09-08T21:18:39Z
dc.date.available2006-09-08T21:18:39Z
dc.date.issued1996-05en_US
dc.identifier.citationWan, Chih-Jian; Bernstein, Dennis S.; Coppola, Vincent T.; (1996). "Global stabilization of the oscillating eccentric rotor." Nonlinear Dynamics 10(1): 49-62. <http://hdl.handle.net/2027.42/43319>en_US
dc.identifier.issn0924-090Xen_US
dc.identifier.issn1573-269Xen_US
dc.identifier.urihttps://hdl.handle.net/2027.42/43319
dc.description.abstractThe oscillating eccentric rotor has been widely studied to model resonance capture phenomena occurring in dual-spin spacecraft and rotating machinery. This phenomenon arises during spin-up as a resonance condition is encountered. We consider the related problem of rotor despin. Specifically, we determine nonlinear feedback control laws that not only despin the rotor but also bring its translational motion to rest. These globally asymptotically stabilizing control laws are derived using partial feedback linearization and integrator backstepping schemes. For the case in which the oscillating eccentric rotor is excited by a translational sinusoidal forcing function, the control law is shown to attenuate the amplitude of the translational oscillation.en_US
dc.format.extent730713 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers; Springer Science+Business Mediaen_US
dc.subject.otherEngineeringen_US
dc.subject.otherMechanicsen_US
dc.subject.otherMechanical Engineeringen_US
dc.subject.otherAutomotive and Aerospace Engineeringen_US
dc.subject.otherPassage Through Resonanceen_US
dc.subject.otherIntegrator Backsteppingen_US
dc.subject.otherVibration, Dynamical Systems, Controlen_US
dc.subject.otherCascade Systemen_US
dc.titleGlobal stabilization of the oscillating eccentric rotoren_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Aerospace Engineering, The University of Michigan, 48109-2118, Ann Arbor, MI, U.S.A.en_US
dc.contributor.affiliationumDepartment of Aerospace Engineering, The University of Michigan, 48109-2118, Ann Arbor, MI, U.S.A.en_US
dc.contributor.affiliationumDepartment of Aerospace Engineering, The University of Michigan, 48109-2118, Ann Arbor, MI, U.S.A.en_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/43319/1/11071_2004_Article_BF00114798.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF00114798en_US
dc.identifier.sourceNonlinear Dynamicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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