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Colección SciELO Chile

First results of optimal control of average biogas production for the chemostat over an infinite horizon

Indexado

WoS	WOS:000435693000124
Scopus	SCOPUS_ID:85046702051

DOI

10.1016/J.IFACOL.2018.03.123

Año

2018

Tipo

proceedings paper

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

In this work we study the optimal control problem of maximizing the average biogas production over an infinite horizon. We consider a large class of growth rate functions that depend on substrate and biomass concentrations and we solve this problem for the chemostat model. The obtained optimal control is a autonomous state feedback.

Revista

Revista	ISSN
Ifac Papers On Line	2405-8963

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Disciplinas de Investigación

WOS
Sin Disciplinas

Scopus
Control And Systems Engineering

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	Haddon, Antoine	Hombre	Universidad de Chile - Chile Univ Montpellier - Francia Université de Montpellier - Francia
2	RAMIREZ-ESTAY, HECTOR	Hombre	Universidad de Chile - Chile
3	Rapaport, Alain	Hombre	Univ Montpellier - Francia Université de Montpellier - Francia

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Citas No-identificadas: 0.0 %

Financiamiento

Fuente
CONICYT-Chile under FONDECYT
Labex
CONICYT-PFCHA/Doctorado Nacional
BASAL project (Centro de Modelamiento Matematico, Universidad de Chile)
LabEx NUMEV
CONICYT-Chile grant REDES

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Agradecimientos

Agradecimiento
The authors are grateful for the support of CONICYT-Chile grant REDES 150011. The first and second authors were also supported by CONICYT-Chile under FONDECYT regular project 1160567, and BASAL project (Centro de Modelamiento Matematico, Universidad de Chile). The first author was supported by a doctoral fellowship CONICYT-PFCHA/Doctorado Nacional/2017-21170249. This project was supported by the LabEx NUMEV incorporated into the I-Site MUSE (AAP2017-2-08).
Fig. 5. Average biogas production T ⤇→ JT(ξ, ψs¯), for different initial substrate concentrations, with a initial biomass concentration of x0 = 50 and for a Contois growth function. The black line represents the value functions V ∞(ξ) = V ∞(ξ) = φ(s¯, 1) that are constant for all initial conditions in D. ACKNOWLEDGEMENTS The authors are grateful for the support of CONICYT-Chile grant REDES 150011. The first and second authors were also supported by CONICYT-Chile under FONDE-CYT regular project 1160567, and BASAL project (Centro de Modelamiento Matemático, Universidad de Chile). The first author was supported by a doctoral fellowship CONICYT-PFCHA/Doctorado Nacional/2017-21170249. This project was supported by the LabEx NUMEV incorporated into the I-Site MUSE (AAP2017-2-08).

Agradecimiento

The authors are grateful for the support of CONICYT-Chile grant REDES 150011. The first and second authors were also supported by CONICYT-Chile under FONDECYT regular project 1160567, and BASAL project (Centro de Modelamiento Matematico, Universidad de Chile). The first author was supported by a doctoral fellowship CONICYT-PFCHA/Doctorado Nacional/2017-21170249. This project was supported by the LabEx NUMEV incorporated into the I-Site MUSE (AAP2017-2-08).

Fig. 5. Average biogas production T ⤇→ JT(ξ, ψs¯), for different initial substrate concentrations, with a initial biomass concentration of x0 = 50 and for a Contois growth function. The black line represents the value functions V ∞(ξ) = V ∞(ξ) = φ(s¯, 1) that are constant for all initial conditions in D. ACKNOWLEDGEMENTS The authors are grateful for the support of CONICYT-Chile grant REDES 150011. The first and second authors were also supported by CONICYT-Chile under FONDE-CYT regular project 1160567, and BASAL project (Centro de Modelamiento Matemático, Universidad de Chile). The first author was supported by a doctoral fellowship CONICYT-PFCHA/Doctorado Nacional/2017-21170249. This project was supported by the LabEx NUMEV incorporated into the I-Site MUSE (AAP2017-2-08).