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ZusammenfassungDie Zustandsgrößen zahlreicher ingenieurtechnischer Prozesse sind sowohl raum- als auch zeitabhängig. Solche Prozesse werden mit parabolischen partiellen Differentialgleichungen beschrieben. Die meisten praktischen Anwendungen sind mit Unsicherheiten versehen, die durch ungenaue Modellparameter und zufällige Störungen charakterisiert sind. Die Optimierung unsicherer parabolischer PDE-Systeme mit Zustandsbeschränkungen stellte eine große Herausforderung dar. In diesem Beitrag werden diese als wahrscheinlichkeitsbeschränkte Nebenbedingungen modelliert. Das dadurch formulierte stochastische Optimierungsproblem wird mit der Methode der inneren und äußeren Approximation gelöst. Die Wirksamkeit und Effizienz der vorgeschlagenen Lösungsmethode werden durch die Temperaturregelung eines Stabes mit einem unsicheren Wärmeübertragungskoeffizienten demonstriert.
at - Automatisierungstechnik – de Gruyter
Published: Nov 27, 2018
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