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Time-optimal control of concentration changes in the chemostat with one single species
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| DOI | 10.1016/J.APM.2017.05.037 | ||||
| Año | 2017 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
We consider the problem of driving in minimal time a system describing a chemostat model to a target point. This problem finds applications typically in the case where the input substrate concentration changes yielding in a new steady state. One essential feature is that the system takes into account a recirculation of biomass effect. We depict an optimal synthesis and provide an optimal feedback control of the problem by using Pontryagin's Principle and geometric control theory for a large class of kinetics. (C) 2017 Elsevier Inc. All rights reserved.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Bayen, Terence | Hombre |
Univ Montpellier - Francia
Institut Montpelliérain Alexander Grothendieck - Francia |
| 2 | Harmand, Jérôme | Hombre |
INRA - Francia
INRAE's Occitanie-Montpellier Centre - Francia |
| 3 | Sebbah, Matthieu | Hombre |
Universidad Técnica Federico Santa María - Chile
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| Fuente |
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| CONICYT |
| Fondo Nacional de Desarrollo Científico y Tecnológico |
| Comisión Nacional de Investigación Científica y Tecnológica |
| Fondo Nacional de Desarrollo CientÃfico y Tecnológico |
| EDF |
| ECOS-Sud project |
| FMJH Program Gaspard Monge in optimization and operation research |
| Consejo Nacional de Innovación, Ciencia y TecnologÃa |
| Inria-Chile |
| FONDECYT-Chile program |
| Matham-SUD project SOCDE |
| Atlantic Research Center for Information and Communication Technologies |
| Agradecimiento |
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| This research benefited from the support of the "FMJH Program Gaspard Monge in optimization and operation research", from the support to this program from EDF, from the CONICYT grant REDES 130067, the ECOS-SUD project C13E03, and the Matham-SUD project SOCDE. The authors express their acknowledgments to P. Gajardo and A. Rapaport for their helpful discussions and comments. The third author would like to thank the FONDECYT-Chile program (N 3150199) for its financial support and the BIONATURE team of the Communication and Information Research and Innovation Center of INRIA-Chile for fruitful exchanges. |
| This research benefited from the support of the “FMJH Program Gaspard Monge in optimization and operation research”, from the support to this program from EDF, from the CONICYT grant REDES 130067 , the ECOS-SUD project C13E03, and the Matham-SUD project SOCDE. The authors express their acknowledgments to P. Gajardo and A. Rapaport for their helpful discussions and comments. The third author would like to thank the FONDECYT -Chile program ( N 3150199 ) for its financial support and the BIONATURE team of the Communication and Information Research and Innovation Center of INRIA-Chile for fruitful exchanges. |
