Tangential Nevanlinna-Pick interpolation for strong stabilization of MIMO distributed parameter systems

buir.contributor.authorÖzbay, Hitay
dc.citation.epage1590en_US
dc.citation.spage1584en_US
dc.contributor.authorWakaiki, M.en_US
dc.contributor.authorYamamoto, Y.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.coverage.spatialMaui, HI, USA
dc.date.accessioned2016-02-08T12:11:11Z
dc.date.available2016-02-08T12:11:11Z
dc.date.issued2012-12en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 10-13 Dec. 2012
dc.descriptionConference name: 51st IEEE Conference on Decision and Control (CDC), 2012
dc.description.abstractWe study the problem of finding stable controllers that stabilize a multi-input multi-output distributed parameter system while simultaneously reducing the sensitivity of the system. The plants we consider have finitely many unstable transmission zeros, but they can possess infinitely many unstable poles. Using the tangential Nevanlinna-Pick interpolation with boundary conditions, we obtain both upper and lower bounds of the minimum sensitivity that can be achieved by stable controllers. We also derive a method to find stable controllers for sensitivity reduction. In addition, we apply the proposed method to a repetitive control system. © 2012 IEEE.en_US
dc.identifier.doi10.1109/CDC.2012.6427066en_US
dc.identifier.urihttp://hdl.handle.net/11693/28103
dc.language.isoEnglishen_US
dc.publisherIEEE
dc.relation.isversionofhttp://dx.doi.org/10.1109/CDC.2012.6427066en_US
dc.source.titleProceedings of the IEEE Conference on Decision and Controlen_US
dc.subjectDistributed parameter systemsen_US
dc.subjectMinimum sensitivitiesen_US
dc.subjectMulti-input multi-outputen_US
dc.subjectNevanlinna-Pick interpolationen_US
dc.subjectRepetitive control systemen_US
dc.subjectStable controllersen_US
dc.subjectStrong stabilizationen_US
dc.subjectTransmission zerosen_US
dc.subjectUpper and lower boundsen_US
dc.subjectControl system analysisen_US
dc.subjectIntelligent controlen_US
dc.subjectInterpolationen_US
dc.subjectMIMO systemsen_US
dc.subjectControllersen_US
dc.titleTangential Nevanlinna-Pick interpolation for strong stabilization of MIMO distributed parameter systemsen_US
dc.typeConference Paperen_US

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