Sensitivity reduction by stable controllers for mIMO infinite dimensional systems via the tangential nevanlinna-Pick interpolation

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buir.contributor.authorÖzbay, Hitay
dc.citation.epage1105en_US
dc.citation.issueNumber4en_US
dc.citation.spage1099en_US
dc.citation.volumeNumber59en_US
dc.contributor.authorWakaiki, M.en_US
dc.contributor.authorYamamoto, Y.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.date.accessioned2016-02-08T11:02:38Z
dc.date.available2016-02-08T11:02:38Z
dc.date.issued2014en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe study the problem of finding a stable stabilizing controller that satisfies a desired sensitivity level for an MIMO infinite dimensional system. The systems we consider have finitely many simple transmission zeros in C +, but they are allowed to possess infinitely many poles in C +. We compute both upper and lower bounds of the minimum sensitivity achievable by a stable controller via the tangential Nevanlinna-Pick interpolation. We also obtain stable controllers attaining such an upper bound. To illustrate the results, we discuss a repetitive control system as an application of the proposed method.en_US
dc.identifier.doi10.1109/TAC.2013.2285788en_US
dc.identifier.issn0018-9286
dc.identifier.urihttp://hdl.handle.net/11693/26634
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/TAC.2013.2285788en_US
dc.source.titleIEEE Transactions on Automatic Controlen_US
dc.subjectinfinite dimensional systemsen_US
dc.subjectstrong stabilizationen_US
dc.subjecttangential interpolationen_US
dc.subjectControl system analysisen_US
dc.subjectInterpolationen_US
dc.subjectInfinite-dimensional systemen_US
dc.subjectMinimum sensitivitiesen_US
dc.subjectNevanlinna-Pick interpolationen_US
dc.subjectRepetitive control systemen_US
dc.subjectStabilizing controllersen_US
dc.subjectStrong stabilizationen_US
dc.subjectTangential interpolationen_US
dc.subjectUpper and lower boundsen_US
dc.subjectControllersen_US
dc.titleSensitivity reduction by stable controllers for mIMO infinite dimensional systems via the tangential nevanlinna-Pick interpolationen_US
dc.typeArticleen_US
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