Please use this identifier to cite or link to this item: http://dx.doi.org/10.18419/opus-6900
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dc.contributor.authorRehm, Ansgarde
dc.contributor.authorAllgöwer, Frankde
dc.date.accessioned1999-06-15de
dc.date.accessioned2016-03-31T11:41:21Z-
dc.date.available1999-06-15de
dc.date.available2016-03-31T11:41:21Z-
dc.date.issued1998de
dc.identifier.other070842450de
dc.identifier.urihttp://nbn-resolving.de/urn:nbn:de:bsz:93-opus-3534de
dc.identifier.urihttp://elib.uni-stuttgart.de/handle/11682/6917-
dc.identifier.urihttp://dx.doi.org/10.18419/opus-6900-
dc.description.abstractIn this paper H∞ control of high index and non-regular linear differential-algebraic-equation systems is addressed. Based on a generalization of the bounded real lemma (BRL) to index one systems, all linear output feedback controllers in standard, ie non-descriptor, state space form solving the H∞ control problem can be characterized via biaffine matrix inequalities (BMIs). In a second step a congruence transformation and a subsequent change of variables show that certain linear matrix inequalities (LMIs) necessarily must hold in order to admit a solution of the H∞ control problem. However, these conditions are not sufficient. Necessary and sufficient conditions for the existence of a controller solving the H∞ control problem are derived as BMIs of reduced order compared to the original characterization via the BRL. The approach is illustrated by a simple example.en
dc.language.isoende
dc.rightsinfo:eu-repo/semantics/openAccessde
dc.subject.classificationDifferential-algebraisches Gleichungssystem , Regelungde
dc.subject.ddc660de
dc.subject.otherBounded Real Lemmade
dc.subject.otherBounded Real Lemma , descriptor systems , controlen
dc.titleH∞-control of differential-algebraic-equation systemsen
dc.typereportde
dc.date.updated2015-11-11de
ubs.fakultaetFakultätsübergreifend / Sonstige Einrichtungde
ubs.fakultaetFakultät Konstruktions-, Produktions- und Fahrzeugtechnikde
ubs.institutSonstige Einrichtungde
ubs.institutInstitut für Systemtheorie und Regelungstechnikde
ubs.opusid353de
ubs.publikation.typVerschiedenartige Textede
Appears in Collections:15 Fakultätsübergreifend / Sonstige Einrichtung

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