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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Optimal Control of Induction Heating: Theory and Application
verfasst von : Darya Filatova, Marek Grzywaczewski
Erschienen in: Modeling, Design, and Simulation of Systems with Uncertainties
Verlag: Springer Berlin Heidelberg
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The theoretic background of an optimal control task for a precision induction heating problem is studied in this work. The basics of electro-magnetic and heat transfer theory are used to describe the dynamics of induction heating processes of rectangle workpieces. The main result of this work, presented as the first-order necessary conditions for the optimal solution of the considered control task, allows one to employ interval representations of the mathematical model’s main parameters in order to study the influence of environment uncertainties which have dominant effects on induction heating processes.