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dc.contributor.advisorScherer, Carsten W. (Prof. Dr.)-
dc.contributor.authorHolicki, Tobias-
dc.date.accessioned2022-05-25T10:47:52Z-
dc.date.available2022-05-25T10:47:52Z-
dc.date.issued2022de
dc.identifier.other1804398535-
dc.identifier.urihttp://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-121753de
dc.identifier.urihttp://elib.uni-stuttgart.de/handle/11682/12175-
dc.identifier.urihttp://dx.doi.org/10.18419/opus-12158-
dc.description.abstractWe establish a framework for systematically analyzing and designing output-feedback controllers for linear impulsive and related hybrid systems that might even be affected by various types of uncertainties. In particular, the framework encompasses uncertain switched and sampled-data systems as well as networked systems with switching communication topologies. The framework is based on recently developed convex criteria involving a so-called clock for analyzing impulsive systems under dwell-time constraints. We elaborate on the extension of those criteria for dynamic output-feedback controller synthesis by means of convex optimization and generalize the so-called dual iteration to impulsive systems. The latter originally and still constitutes a promising heuristic procedure for the challenging and non-convex design of static output-feedback controllers for standard linear time-invariant systems. Moreover, for uncertain impulsive systems as modeled in terms of linear fractional representations, we generalize the nominal analysis criteria by providing novel robust analysis conditions based on a novel time-domain and clock-dependent formulation of integral quadratic constraints. Finally, by combining the insights on nominal synthesis and robust analysis, we are able to tackle challenging output-feedback designs of practical relevance, such as the design of gain-scheduled, robust or robust gain-scheduled controllers for impulsive systems. Most of the obtained analysis and synthesis conditions involve infinite-dimensional (differential) linear matrix inequalities which can be numerically solved by using relaxation methods based on, e.g., linear splines, B-splines or matrix sum-of-squares that we discuss as well.en
dc.language.isoende
dc.rightsinfo:eu-repo/semantics/openAccessde
dc.subject.ddc510de
dc.titleA complete analysis and design framework for linear impulsive and related hybrid systemsen
dc.typedoctoralThesisde
ubs.dateAccepted2022-01-20-
ubs.fakultaetMathematik und Physikde
ubs.institutInstitut für Mathematische Methoden in den Ingenieurwissenschaften, Numerik und geometrische Modellierungde
ubs.publikation.seiten302de
ubs.publikation.typDissertationde
ubs.thesis.grantorStuttgarter Zentrum für Simulationswissenschaften (SC SimTech)de
Enthalten in den Sammlungen:08 Fakultät Mathematik und Physik

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