Sensitivity reduction by strongly stabilizing controllers for MIMO distributed parameter systems

buir.contributor.authorÖzbay, Hitay
dc.citation.epage2094en_US
dc.citation.issueNumber8en_US
dc.citation.spage2089en_US
dc.citation.volumeNumber57en_US
dc.contributor.authorWakaiki, M.en_US
dc.contributor.authorYamamoto, Y.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.date.accessioned2016-02-08T09:45:19Z
dc.date.available2016-02-08T09:45:19Z
dc.date.issued2011-12-09en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractThis note investigates a sensitivity reduction problem by stable stabilizing controllers for a linear time-invariant multi-input multioutput distributed parameter system. The plant we consider has finitely many unstable zeros, which are simple and blocking, but can possess infinitely many unstable poles. We obtain a necessary condition and a sufficient condition for the solvability of the problem, using the matrix Nevanlinna-Pick interpolation with boundary conditions. We also develop a necessary and sufficient condition for the solvability of the interpolation problem, and show an algorithm to obtain the solutions. Our method to solve the interpolation problem is based on the Schur-Nevanlinna algorithm.en_US
dc.identifier.doi10.1109/TAC.2011.2179449en_US
dc.identifier.issn0018-9286
dc.identifier.urihttp://hdl.handle.net/11693/21366
dc.language.isoEnglishen_US
dc.publisherInstitute of Electrical and Electronics Engineersen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/TAC.2011.2179449en_US
dc.source.titleIEEE Transactions on Automatic Controlen_US
dc.subjectDistributed parameter systemsen_US
dc.subjectH ∞-controlen_US
dc.subjectStrong stabilizationen_US
dc.subjectDistributed parameter systemsen_US
dc.subjectInterpolation problemsen_US
dc.subjectLinear time-invarianten_US
dc.subjectMulti-inputen_US
dc.subjectNevanlinna-pick interpolationen_US
dc.subjectReduction problemen_US
dc.subjectStabilizing controllersen_US
dc.subjectStrong stabilizationen_US
dc.subjectSufficient conditionsen_US
dc.subjectAlgorithmsen_US
dc.subjectIntelligent controlen_US
dc.subjectInterpolationen_US
dc.subjectProblem solvingen_US
dc.titleSensitivity reduction by strongly stabilizing controllers for MIMO distributed parameter systemsen_US
dc.typeArticleen_US
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