Control and stabilization of a rotating flexible structure

dc.citation.epage356en_US
dc.citation.issueNumber2en_US
dc.citation.spage351en_US
dc.citation.volumeNumber30en_US
dc.contributor.authorMorgül, Ö.en_US
dc.date.accessioned2015-07-28T12:07:18Z
dc.date.available2015-07-28T12:07:18Z
dc.date.issued1994en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe consider a flexible beam clamped to a rigid base at one end and free at the other end. We assume that the rigid base rotates with a constant angular velocity and that the motion of the flexible beam takes place on a plane. To suppress the beam vibrations, we propose dynamic control laws for boundary control force and torque, both applied to the free end of the beam. We show that, under some conditions, one of which is the strict positive realness of the actuator transfer functions which generate the boundary control force and torque, the beam vibrations asymptotically decay to zero if the rigid base angular frequency is sufficiently small. Moreover, if the transfer functions are proper but not strictly proper, we show that the decay is exponential. We also give a bound on the constant angular velocity above which the system becomes unstable.en_US
dc.description.provenanceMade available in DSpace on 2015-07-28T12:07:18Z (GMT). No. of bitstreams: 1 10.1016-0005-1098(94)90037-X.pdf: 535027 bytes, checksum: 4892a52a6fba77bafa83b8b6f2e76c83 (MD5)en
dc.identifier.doi10.1016/0005-1098(94)90037-Xen_US
dc.identifier.issn0005-1098
dc.identifier.urihttp://hdl.handle.net/11693/13627
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/0005-1098(94)90037-Xen_US
dc.source.titleAutomaticaen_US
dc.subjectDistributed parameter systemsen_US
dc.subjectPartial differential equationsen_US
dc.subjectBoundary-value problemsen_US
dc.subjectStabilityen_US
dc.subjectLyapunov methodsen_US
dc.titleControl and stabilization of a rotating flexible structureen_US
dc.typeArticleen_US

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