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H-unendlich-Methode für lineare Deskriptorsysteme mit nicht-properem Übertragungsverhalten: Dissertation by Bernhard, Dirk

H-unendlich-Methode für lineare Deskriptorsysteme mit nicht-properem Übertragungsverhalten: Dissertation

by Dirk Bernhard
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Book cover type: Paperback
  • ISBN13: 9783837030761
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Bod - Books on Demand
  • Publisher Imprint: Bod - Books on Demand
  • Publication Date:
  • Pages: 204
  • Original Price: USD 35.5
  • Language: German
  • Edition: N/A
  • Item Weight: 250 grams
  • BISAC Subject(s): Electrical

Das Ziel der Arbeit ist die Untersuchung der Anwendbarkeit bekannter H-unendlich-Methoden auf Regelstrecken, die als Deskriptorsystem vorliegen und nicht-properes Übertragungsverhalten zeigen. Deskriptorsysteme sind mathematische Modelle technischer Prozesse, die durch Differential- und algebraische Gleichungen beschrieben werden. Dadurch erlauben sie einen wesentlich besseren physikalischen Einblick in das Verhalten dynamischer Systeme als die meist abstrakte Formulierung im Zustandsraum. Dieser Vorteil wird jedoch durch vermehrte Schwierigkeiten bei der Analyse und Synthese derartiger Systeme erkauft. Bei Deskriptorsystemen mit nicht-properem Übertragungsverhalten hängt das Eingangs-/Ausgangsverhalten im Zeitbereich von höheren Ableitungen der Eingangsgrö en ab. Nicht-properes Übertragungsverhalten kann nur bei Deskriptor-Realisierungen mit höherem Index auftreten. Deskriptorsysteme werden auch als singuläre Systeme, implizite Systeme, Algebro-Differential-gleichungen, differential-algebraische Systeme (engl.: Differential Algebraic Equations, DAE) oder als verallgemeinerte Zustandssysteme bezeichnet. Mit der H-unendlich-Methode kann ein Regler entworfen werden, der unter Vorgabe von dynamischen Gewichtungsfunktionsmatrizen gutes Führungs- und Störverhalten aufweist und gleichzeitig robust gegenüber Parameterunsicherheiten ist. Der nicht-propere H-unendlich-Entwurf in Deskriptorform und die Methode der Properisierung werden an einem Anwendungsbeispiel aus der sicherheitstechnischen Regelungstechnik veranschaulicht. Das Anwendungsbeispiel basiert auf einem Benchmark-Problem, mit welchem die aktive Dämpfung von Gebäudeschwingungen, verursacht durch Erdbeben, simuliert werden kann.

Dirk Bernhard studierte von 1987 bis 1992 Elektrotechnik mit dem Schwerpunkt Automatisierungstechnik an der Bergischen Universität Wuppertal. Nach Abschluss des Studiums zog es ihn in die Industrie, wo er anfangs als Prüfingenieur und zuletzt als Entwicklungsingenieur im Bereich der Entwicklung von Leittechniksystemen für Hoch- und Mittelspannungsschaltanlagen tätig war. Schwerpunkte seiner Arbeit waren die Systemprüfung und die Verbesserung der Software-Entwicklungsprozesse für Mikrocontroller-Systeme. Nach rund 8 Jahren in der Industrie erfolgte die Rückkehr an die Bergische Universität Wuppertal, wo er sich im Fachgebiet von Univ.-Prof. Dr. rer. nat. P. C. Müller wissenschaftlichen Fragestellungen der sicherheitstechnischen Regelungs- und Messtechnik zuwenden konnte. Der Schwerpunkt seiner Arbeit lag in der Untersuchung von Deskriptorsystemen. Die vorliegende Dissertation dokumentiert die Ergebnisse seiner wissenschaftlichen Arbeit.

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