Optimal control from inoculation on a continuous microalgae culture
Kybernetika, Tome 52 (2016) no. 2, pp. 224-240
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
The present work is centred on the problem of biomass productivity optimization of a culture of microalgae Spirulina maxima. The mathematical tools consisted of necessary and sufficient conditions for optimal control coming from the celebrated Pontryagin's Maximum Principle (PMP) as well as the Bellman's Principle of Optimality, respectively. It is shown that the optimal dilution rate turns to be a bang-singular-bang control. It turns out that, the experimental results are in accordance to the optimal mathematical findings.
DOI :
10.14736/kyb-2016-2-0224
Classification :
90C46, 93C95
Keywords: optimal control; microalgae; singular arc; dilution rate
Keywords: optimal control; microalgae; singular arc; dilution rate
@article{10_14736_kyb_2016_2_0224,
author = {Torres-Mu\~noz, Jorge Antonio and Gutierrez-Carmona, Irandi and Dominguez-Bocanegra, Alma Rosa},
title = {Optimal control from inoculation on a continuous microalgae culture},
journal = {Kybernetika},
pages = {224--240},
publisher = {mathdoc},
volume = {52},
number = {2},
year = {2016},
doi = {10.14736/kyb-2016-2-0224},
mrnumber = {3501159},
zbl = {06587896},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-2-0224/}
}
TY - JOUR AU - Torres-Muñoz, Jorge Antonio AU - Gutierrez-Carmona, Irandi AU - Dominguez-Bocanegra, Alma Rosa TI - Optimal control from inoculation on a continuous microalgae culture JO - Kybernetika PY - 2016 SP - 224 EP - 240 VL - 52 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-2-0224/ DO - 10.14736/kyb-2016-2-0224 LA - en ID - 10_14736_kyb_2016_2_0224 ER -
%0 Journal Article %A Torres-Muñoz, Jorge Antonio %A Gutierrez-Carmona, Irandi %A Dominguez-Bocanegra, Alma Rosa %T Optimal control from inoculation on a continuous microalgae culture %J Kybernetika %D 2016 %P 224-240 %V 52 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-2-0224/ %R 10.14736/kyb-2016-2-0224 %G en %F 10_14736_kyb_2016_2_0224
Torres-Muñoz, Jorge Antonio; Gutierrez-Carmona, Irandi; Dominguez-Bocanegra, Alma Rosa. Optimal control from inoculation on a continuous microalgae culture. Kybernetika, Tome 52 (2016) no. 2, pp. 224-240. doi: 10.14736/kyb-2016-2-0224
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