This work deals with the optimal regulation of a large thermal process when the final state is fixed and the control is subject to some constraints, for which we propose a relaxation method coupled with the shooting one. We study the behavior of this method. The studied example concerns the optimal control law for two ovens with three and twelve heating zones.
Accepté le :
DOI : 10.1051/ro/2015018
Mots-clés : Optimal control, relaxation method, shooting method, sub-differential, thermic process
@article{RO_2016__50_2_297_0,
author = {Kara, Fadila and Spiteri, Pierre and Messine, Frederic and Mohamed, Aidene},
title = {A numerical optimal control method for solving a large thermic process},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {297--314},
publisher = {EDP-Sciences},
volume = {50},
number = {2},
year = {2016},
doi = {10.1051/ro/2015018},
mrnumber = {3479870},
zbl = {1338.49058},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2015018/}
}
TY - JOUR AU - Kara, Fadila AU - Spiteri, Pierre AU - Messine, Frederic AU - Mohamed, Aidene TI - A numerical optimal control method for solving a large thermic process JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2016 SP - 297 EP - 314 VL - 50 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2015018/ DO - 10.1051/ro/2015018 LA - en ID - RO_2016__50_2_297_0 ER -
%0 Journal Article %A Kara, Fadila %A Spiteri, Pierre %A Messine, Frederic %A Mohamed, Aidene %T A numerical optimal control method for solving a large thermic process %J RAIRO - Operations Research - Recherche Opérationnelle %D 2016 %P 297-314 %V 50 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2015018/ %R 10.1051/ro/2015018 %G en %F RO_2016__50_2_297_0
Kara, Fadila; Spiteri, Pierre; Messine, Frederic; Mohamed, Aidene. A numerical optimal control method for solving a large thermic process. RAIRO - Operations Research - Recherche Opérationnelle, Special issue: Research on Optimization and Graph Theory dedicated to COSI 2013 / Special issue: Recent Advances in Operations Research in Computational Biology, Bioinformatics and Medicine, Tome 50 (2016) no. 2, pp. 297-314. doi : 10.1051/ro/2015018. http://www.numdam.org/articles/10.1051/ro/2015018/
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