Following an Optimal Batch Bioreactor Operations Model

V. Ibarra-Junquera, Sten Bay Jørgensen, J.J. Virgen-Ortíz, P. Escalante-Minakata, J.A. Osuna-Castro

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The problem of following an optimal batch operation model for a bioreactor in the presence of uncertainties is studied. The optimal batch bioreactor operation model (OBBOM) refers to the bioreactor trajectory for nominal cultivation to be optimal. A multiple-variable dynamic optimization of fed-batch reactor for biomass production is studied using a differential geometry approach. The maximization problem is solved by handling both the optimal filling policy and substrate concentration in the inlet stream. In order to follow the OBBOM, a master–slave synchronization is used. The OBBOM is considered as the master system which includes the optimal cultivation trajectory for the feed flow rate and the substrate concentration. The “real” bioreactor, the one with unknown dynamics and perturbations, is considered as the slave system. Finally, the controller is designed such that the real bioreactor is synchronized with the optimized one in spite of bounded unknown dynamics and perturbations. It is formally proven that the inclusion of an additional inlet stream, free of the limiting substrate, enables global controllability
and thereby provides the solution to the controllability problems pointed out by Szederkényi et al. [30], fact that have not been reported previously. The scheme is applied to a nonlinear fed-batch fermentation process.
Original languageEnglish
JournalChemical Engineering and Processing
Volume62
Pages (from-to)114-128
ISSN0255-2701
DOIs
Publication statusPublished - 2012

Keywords

  • Bioreactor
  • Dynamic optimization
  • Fed-batch
  • Pontryagin's principles
  • Synchronization

Cite this

Ibarra-Junquera, V., Jørgensen, S. B., Virgen-Ortíz, J. J., Escalante-Minakata, P., & Osuna-Castro, J. A. (2012). Following an Optimal Batch Bioreactor Operations Model. Chemical Engineering and Processing, 62, 114-128. https://doi.org/10.1016/j.cep.2012.08.003
Ibarra-Junquera, V. ; Jørgensen, Sten Bay ; Virgen-Ortíz, J.J. ; Escalante-Minakata, P. ; Osuna-Castro, J.A. / Following an Optimal Batch Bioreactor Operations Model. In: Chemical Engineering and Processing. 2012 ; Vol. 62. pp. 114-128.
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abstract = "The problem of following an optimal batch operation model for a bioreactor in the presence of uncertainties is studied. The optimal batch bioreactor operation model (OBBOM) refers to the bioreactor trajectory for nominal cultivation to be optimal. A multiple-variable dynamic optimization of fed-batch reactor for biomass production is studied using a differential geometry approach. The maximization problem is solved by handling both the optimal filling policy and substrate concentration in the inlet stream. In order to follow the OBBOM, a master–slave synchronization is used. The OBBOM is considered as the master system which includes the optimal cultivation trajectory for the feed flow rate and the substrate concentration. The “real” bioreactor, the one with unknown dynamics and perturbations, is considered as the slave system. Finally, the controller is designed such that the real bioreactor is synchronized with the optimized one in spite of bounded unknown dynamics and perturbations. It is formally proven that the inclusion of an additional inlet stream, free of the limiting substrate, enables global controllability and thereby provides the solution to the controllability problems pointed out by Szederk{\'e}nyi et al. [30], fact that have not been reported previously. The scheme is applied to a nonlinear fed-batch fermentation process.",
keywords = "Bioreactor, Dynamic optimization, Fed-batch, Pontryagin's principles, Synchronization",
author = "V. Ibarra-Junquera and J{\o}rgensen, {Sten Bay} and J.J. Virgen-Ort{\'i}z and P. Escalante-Minakata and J.A. Osuna-Castro",
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Ibarra-Junquera, V, Jørgensen, SB, Virgen-Ortíz, JJ, Escalante-Minakata, P & Osuna-Castro, JA 2012, 'Following an Optimal Batch Bioreactor Operations Model', Chemical Engineering and Processing, vol. 62, pp. 114-128. https://doi.org/10.1016/j.cep.2012.08.003

Following an Optimal Batch Bioreactor Operations Model. / Ibarra-Junquera, V.; Jørgensen, Sten Bay; Virgen-Ortíz, J.J.; Escalante-Minakata, P.; Osuna-Castro, J.A.

In: Chemical Engineering and Processing, Vol. 62, 2012, p. 114-128.

Research output: Contribution to journalJournal articleResearchpeer-review

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AU - Ibarra-Junquera, V.

AU - Jørgensen, Sten Bay

AU - Virgen-Ortíz, J.J.

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AU - Osuna-Castro, J.A.

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AB - The problem of following an optimal batch operation model for a bioreactor in the presence of uncertainties is studied. The optimal batch bioreactor operation model (OBBOM) refers to the bioreactor trajectory for nominal cultivation to be optimal. A multiple-variable dynamic optimization of fed-batch reactor for biomass production is studied using a differential geometry approach. The maximization problem is solved by handling both the optimal filling policy and substrate concentration in the inlet stream. In order to follow the OBBOM, a master–slave synchronization is used. The OBBOM is considered as the master system which includes the optimal cultivation trajectory for the feed flow rate and the substrate concentration. The “real” bioreactor, the one with unknown dynamics and perturbations, is considered as the slave system. Finally, the controller is designed such that the real bioreactor is synchronized with the optimized one in spite of bounded unknown dynamics and perturbations. It is formally proven that the inclusion of an additional inlet stream, free of the limiting substrate, enables global controllability and thereby provides the solution to the controllability problems pointed out by Szederkényi et al. [30], fact that have not been reported previously. The scheme is applied to a nonlinear fed-batch fermentation process.

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Ibarra-Junquera V, Jørgensen SB, Virgen-Ortíz JJ, Escalante-Minakata P, Osuna-Castro JA. Following an Optimal Batch Bioreactor Operations Model. Chemical Engineering and Processing. 2012;62:114-128. https://doi.org/10.1016/j.cep.2012.08.003