Optimal control from inoculation on a continuous microalgae culture

Jorge Antonio Torres-Muñoz; Irandi Gutierrez-Carmona; Alma Rosa Dominguez-Bocanegra

Kybernetika (2016)

  • Volume: 52, Issue: 2, page 224-240
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Torres-Muñoz, Jorge Antonio, Gutierrez-Carmona, Irandi, and Dominguez-Bocanegra, Alma Rosa. "Optimal control from inoculation on a continuous microalgae culture." Kybernetika 52.2 (2016): 224-240. <http://eudml.org/doc/281545>.

@article{Torres2016,
abstract = {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.},
author = {Torres-Muñoz, Jorge Antonio, Gutierrez-Carmona, Irandi, Dominguez-Bocanegra, Alma Rosa},
journal = {Kybernetika},
keywords = {optimal control; microalgae; singular arc; dilution rate; optimal control; microalgae; singular arc; dilution rate},
language = {eng},
number = {2},
pages = {224-240},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Optimal control from inoculation on a continuous microalgae culture},
url = {http://eudml.org/doc/281545},
volume = {52},
year = {2016},
}

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
PB - Institute of Information Theory and Automation AS CR
VL - 52
IS - 2
SP - 224
EP - 240
AB - 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.
LA - eng
KW - optimal control; microalgae; singular arc; dilution rate; optimal control; microalgae; singular arc; dilution rate
UR - http://eudml.org/doc/281545
ER -

References

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