H∞-control of discrete-time descriptor systems

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dc.contributor.authorPoppe, Lisa Katrin
dc.date.accessioned2021-12-17T10:13:39Z
dc.date.available2021-12-17T10:13:39Z
dc.date.issued2015-05-05
dc.description.abstractWe consider the (sub)optimal H∞-control problem for discrete time descriptor systems. Necessary and sufficient optimality conditions are derived in terms of deflating subspaces of palindromic matrix pencils. This approach allows the use of structure preserving matrix techniques which lead to a more robust method compared with currently used algorithms. The approach is suitable for standard systems as well as for index one and higher index systems. We illustrate the results by a numerical example.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15852
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14625
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherdiscrete-time systemen
dc.subject.otherrobust controlen
dc.subject.otherpalindromic pencilen
dc.subject.otherdifferential-algebraic equationen
dc.titleH∞-control of discrete-time descriptor systemsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2015, 07en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200034A09 Implicit equations, differential-algebraic equationsen
tub.subject.msc200093B40 Computational methodsen

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