Abstract
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 language | English |
|---|---|
| Journal | Chemical Engineering and Processing |
| Volume | 62 |
| Pages (from-to) | 114-128 |
| ISSN | 0255-2701 |
| DOIs | |
| Publication status | Published - 2012 |
Keywords
- Bioreactor
- Dynamic optimization
- Fed-batch
- Pontryagin's principles
- Synchronization
Cite this
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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 journal › Journal article › Research › peer-review
TY - JOUR
T1 - Following an Optimal Batch Bioreactor Operations Model
AU - Ibarra-Junquera, V.
AU - Jørgensen, Sten Bay
AU - Virgen-Ortíz, J.J.
AU - Escalante-Minakata, P.
AU - Osuna-Castro, J.A.
PY - 2012
Y1 - 2012
N2 - 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.
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.
KW - Bioreactor
KW - Dynamic optimization
KW - Fed-batch
KW - Pontryagin's principles
KW - Synchronization
U2 - 10.1016/j.cep.2012.08.003
DO - 10.1016/j.cep.2012.08.003
M3 - Journal article
VL - 62
SP - 114
EP - 128
JO - Chemical Engineering and Processing
JF - Chemical Engineering and Processing
SN - 0255-2701
ER -