Optimal control of an induction heating process using automatic differentiation

被引:4
|
作者
Masserey, A
Poirier, JR
机构
[1] ENSEEIHT LEN 7, F-31071 Toulouse, France
[2] Ecole Polytech Fed Lausanne, Calcom ESISA, CH-1015 Lausanne, Switzerland
关键词
optimal control; automatic differentiation; induction heating;
D O I
10.1002/nme.1251
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We consider an optimal control problem arising in an induction heating process. The main difficulty is to obtain accurate and efficient derivatives of the discrete form of the cost function. In this work we use automatic differentiation. Unlike numerical differentiation based on finite differences, derivatives generated by automatic differentiation are free of truncation error. Numerical results show the performance of the method in terms of accuracy and computational efficiency. Copyright (c) 2005 John Wiley & Sons, Ltd.
引用
收藏
页码:1721 / 1736
页数:16
相关论文
共 50 条
  • [1] Optimal control of an induction heating process for thixoforming
    Masserey, A
    Rappaz, J
    Rozsnyo, R
    Touzani, R
    IEEE TRANSACTIONS ON MAGNETICS, 2004, 40 (03) : 1664 - 1671
  • [2] Optimal control coupled fields in the process of induction heating
    Dikusar, V
    Filatova, DV
    Grzywaczewski, M
    Wójtwicz, M
    CONTROL APPLICATIONS OF OPTIMISATION 2003, 2003, : 213 - 217
  • [3] Numerical modeling and optimal control of induction heating process systems
    Favennec, Y
    Labbé, V
    Bay, F
    PROCEEDINGS OF THE 2001 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS (CCA'01), 2001, : 418 - 421
  • [4] Power formulation for the optimal control of an industrial induction heating process for thixoforming
    Masserey, A
    Rappaz, J
    Rozsnyo, R
    Touzani, R
    INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, 2004, 19 (1-4) : 51 - 56
  • [5] Optimal Control of Induction Heating Processes Using FEM Software
    Rhein, Soenke
    Utz, Tilman
    Graichen, Knut
    2015 EUROPEAN CONTROL CONFERENCE (ECC), 2015, : 515 - 520
  • [6] Optimal control of thermal fluid flow using automatic differentiation
    Kamikawa, Ayako
    Kawahara, Mutsuto
    COMPUTATIONAL MECHANICS, 2009, 43 (06) : 839 - 846
  • [7] Parametric sensitivities for optimal control problems using automatic differentiation
    Griesse, R
    Walther, A
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2003, 24 (06): : 297 - 314
  • [8] Optimal control of thermal fluid flow using automatic differentiation
    Ayako Kamikawa
    Mutsuto Kawahara
    Computational Mechanics, 2009, 43 : 839 - 846
  • [9] Flow control using localized induction heating in a VARTM process
    Johnson, R. J.
    Pitchumani, R.
    COMPOSITES SCIENCE AND TECHNOLOGY, 2007, 67 (3-4) : 669 - 684
  • [10] Microprocessor control of an induction heating process
    Kalus, M
    Skoczkowski, T
    Krawczyk, A
    SOFTWARE FOR ELECTRICAL ENGINEERING ANALYSIS AND DESIGN, 1996, : 53 - 62