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Optimal Control of Induction Heating: Theory and Application

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Book cover Modeling, Design, and Simulation of Systems with Uncertainties

Part of the book series: Mathematical Engineering ((MATHENGIN,volume 3))

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Abstract

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.

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Author information

Authors and Affiliations

  1. UJK, ul. Krakowska 11, 25-027, Kielce, Poland

    Darya Filatova

  2. Analytical Centre of Russian Academy of Sciences, ul. Vavilova 40, 199911, Moscow, Russia

    Darya Filatova

  3. Politechnika Radomska, ul. Malczewskiego 20A, 26-600, Radom, Poland

    Marek Grzywaczewski

Authors
  1. Darya Filatova
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  2. Marek Grzywaczewski
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Corresponding author

Correspondence to Darya Filatova .

Editor information

Editors and Affiliations

  1. , Chair of Mechatronics, University of Rostock, Justus-von-Liebig-Str. 6, Rostock, 18059, Germany

    Andreas Rauh

  2. , Faculty of Engineering, INKO, University of Duisburg-Essen, Duisburg, 47048, Germany

    Ekaterina Auer

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Filatova, D., Grzywaczewski, M. (2011). Optimal Control of Induction Heating: Theory and Application. In: Rauh, A., Auer, E. (eds) Modeling, Design, and Simulation of Systems with Uncertainties. Mathematical Engineering, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15956-5_8

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  • DOI: https://doi.org/10.1007/978-3-642-15956-5_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15955-8

  • Online ISBN: 978-3-642-15956-5

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