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Modellierung Und Steuerung Dynamischer Systeme: Eine Anwendungsorientierte Mathematische Einführung Für Ingenieure
Paperback
General MathematicsGeneral Science
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ISBN13: 9783662745700
Publisher: Springer Spektrum
Language: German
Ziel dieses Buches ist es, einen anwendungsorientierten Zugang zur Modellierung, Analyse und Regelung nichtlinearer dynamischer Systeme zu vermitteln. Im Mittelpunkt stehen elektro-mechanische Systeme und die besonderen Herausforderungen, die sich beim Entwurf praktisch einsetzbarer Regelungen ergeben: Begrenzte Stellgrö en, Beschränkung der Rechenzeit, Modellunsicherheiten sowie nicht unmittelbar oder nur fehlerbehaftet messbare Zustände. Die benötigten mathematischen Grundlagen - von Differentialgleichungssystemen und numerischen Lösungsverfahren bis zur Stabilitätsanalyse und Lyapunov-Theorie - werden verständlich entwickelt und durchgängig auf regelungstechnische Fragestellungen bezogen.
Ausgehend von konkreten technischen Anwendungen führt das Buch in ausgewählte Methoden der modellbasierten nichtlinearen Regelungstechnik ein. Behandelt werden insbesondere Lyapunov- und passivitätsbasierte Verfahren, Sliding-Mode-Regelung, Backstepping, flachheitsbasierte Regelung sowie Kalman-Filter zur Zustandsschätzung. Beispiele wie inverse Pendel, DC-DC-Hochsetzsteller, magnetische Aufhängungen und dreiphasige Induktionsmotoren zeigen, wie physikalisches Systemverständnis und mathematische Methoden beim Reglerentwurf ineinandergreifen. Vollständige, dokumentierte MATLAB-Programme zu sämtlichen Beispielen ermöglichen es, die theoretischen Ergebnisse unmittelbar nachzuvollziehen und die Implementierungen als Ausgangspunkt für eigene Anwendungen zu nutzen.
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