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Optimal control of an induction heating process using automatic differentiation
Author(s) -
Masserey A.,
Poirier J.R.
Publication year - 2005
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1251
Subject(s) - automatic differentiation , numerical differentiation , truncation (statistics) , induction heating , process (computing) , truncation error , function (biology) , computer science , control (management) , work (physics) , mathematical optimization , algorithm , mathematics , engineering , mechanical engineering , computation , artificial intelligence , mathematical analysis , machine learning , evolutionary biology , operating system , biology , electrical engineering , electromagnetic coil
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 © 2005 John Wiley & Sons, Ltd.