Robust Control of Descriptor Systems

dc.contributor.authorLosse, Philip
dc.contributor.authorMehrmann, Volker
dc.contributor.authorPoppe, Lisa Katrin
dc.contributor.authorReis, Timo
dc.date.accessioned2021-12-17T10:07:15Z
dc.date.available2021-12-17T10:07:15Z
dc.date.issued2007-12-04
dc.description.abstractThe $\mathcal{H}_\infty$ control problem is studied for linear constant coefficient descriptor systems. Necessary and sufficient optimality conditions are derived in terms of deflating subspaces of even matrix pencils for index one systems as well as for higher index problems. It is shown that this approach leads to a more robust method in computing the optimal value $\gamma$ in contrast to other methods such as the widely used Riccati based approach. The results are illustrated by a numerical example.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15606
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14379
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherdescriptor systemen
dc.subject.other$\mathcal{H}_\infty$-controlen
dc.subject.otheralgebraic Riccati equationen
dc.subject.othereven matrix pencilen
dc.subject.otherdeflating subspaceen
dc.titleRobust Control of 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.issuenumber2007, 47en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200093B36 H∞-controlen
tub.subject.msc200034A09 Implicit equations, differential-algebraic equationsen
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