Stable controllers for robust stabilization of systems with infinitely many unstable poles

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buir.contributor.authorÖzbay, Hitay
dc.citation.epage516en_US
dc.citation.issueNumber6en_US
dc.citation.spage511en_US
dc.citation.volumeNumber62en_US
dc.contributor.authorWakaiki, M.en_US
dc.contributor.authorYamamoto, Y.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.date.accessioned2016-02-08T09:39:18Z
dc.date.available2016-02-08T09:39:18Z
dc.date.issued2013en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractThis paper studies the problem of robust stabilization by a stable controller for a linear time-invariant single-input single-output infinite dimensional system. We consider a class of plants having finitely many simple unstable zeros but possibly infinitely many unstable poles. First we show that the problem can be reduced to an interpolation-minimization by a unit element. Next, by the modified Nevanlinna-Pick interpolation, we obtain both lower and upper bounds on the multiplicative perturbation under which the plant can be stabilized by a stable controller. In addition, we find stable controllers to provide robust stability. We also present a numerical example to illustrate the results and apply the proposed method to a repetitive control system.en_US
dc.identifier.doi10.1016/j.sysconle.2013.02.005en_US
dc.identifier.issn0167-6911
dc.identifier.urihttp://hdl.handle.net/11693/20996
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.sysconle.2013.02.005en_US
dc.source.titleSystems and Control Lettersen_US
dc.subjectH∞ controlen_US
dc.subjectInfinite dimensional systemsen_US
dc.subjectRobust stabilizationen_US
dc.subjectStrong stabilizationen_US
dc.subjectInfinite-dimensional systemen_US
dc.subjectLinear time-invarianten_US
dc.subjectLower and upper boundsen_US
dc.subjectNevanlinna-Pick interpolationen_US
dc.subjectRepetitive control systemen_US
dc.subjectRobust stabilizationen_US
dc.subjectSingle input single outputen_US
dc.subjectStrong stabilizationen_US
dc.subjectControl system analysisen_US
dc.subjectInterpolationen_US
dc.subjectPolesen_US
dc.subjectRobustness (control systems)en_US
dc.subjectStabilizationen_US
dc.titleStable controllers for robust stabilization of systems with infinitely many unstable polesen_US
dc.typeArticleen_US
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