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http://dx.doi.org/10.18419/opus-12158
Autor(en): | Holicki, Tobias |
Titel: | A complete analysis and design framework for linear impulsive and related hybrid systems |
Erscheinungsdatum: | 2022 |
Dokumentart: | Dissertation |
Seiten: | 302 |
URI: | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-121753 http://elib.uni-stuttgart.de/handle/11682/12175 http://dx.doi.org/10.18419/opus-12158 |
Zusammenfassung: | We 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. |
Enthalten in den Sammlungen: | 08 Fakultät Mathematik und Physik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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dissertation_holicki.pdf | 3,57 MB | Adobe PDF | Öffnen/Anzeigen |
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