Optimal Feed Trajectories for Fedbatch Fermentation with Substrate Inhibition Kinetics

Thomas Emil Ryde; Morten Ryberg Wahlgreen; Marcus Krogh Nielsen; Steen Horsholt; Sten Bay Jorgensen; John Bagterp Jorgensen

doi:10.1016/j.ifacol.2021.08.261

Optimal Feed Trajectories for Fedbatch Fermentation with Substrate Inhibition Kinetics

Thomas Emil Ryde, Morten Ryberg Wahlgreen, Marcus Krogh Nielsen, Steen Horsholt, Sten Bay Jorgensen, John Bagterp Jorgensen

Technical University of Denmark

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Abstract

We provide optimal feed trajectories for fedbatch fermentation of microorganisms with substrate inhibition kinetics. We demonstrate that the optimal trajectories are non-unique and provide analytical procedures for solving the optimal control problem. Since, the optimal trajectories are non-unique this is essential for practical operations as a numerical solution could be any of the feasible non-unique optimal solutions. In addition, we investigate the sensitivity of the optimal trajectories and demonstrate that a bang-bang solution is optimal from a sensitivity point of view. This insight is relevant for model predictive control of fedbatch fermentation.

Original language	English
Book series	IFAC-PapersOnLine
Volume	54
Issue number	3
Pages (from-to)	318-323
ISSN	2405-8963
DOIs	https://doi.org/10.1016/j.ifacol.2021.08.261
Publication status	Published - 2021
Event	16th IFAC Symposium on Advanced Control of Chemical Processes (ADCHEM 2021) - Venice, Italy Duration: 13 Jun 2021 → 16 Jun 2021 Conference number: 16

Conference

Conference	16th IFAC Symposium on Advanced Control of Chemical Processes (ADCHEM 2021)
Number	16
Country/Territory	Italy
City	Venice
Period	13/06/2021 → 16/06/2021

Keywords

Dynamic Optimization
Optimal Control
Fedbatch
Biotechnology
Process Control

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title = "Optimal Feed Trajectories for Fedbatch Fermentation with Substrate Inhibition Kinetics",

abstract = "We provide optimal feed trajectories for fedbatch fermentation of microorganisms with substrate inhibition kinetics. We demonstrate that the optimal trajectories are non-unique and provide analytical procedures for solving the optimal control problem. Since, the optimal trajectories are non-unique this is essential for practical operations as a numerical solution could be any of the feasible non-unique optimal solutions. In addition, we investigate the sensitivity of the optimal trajectories and demonstrate that a bang-bang solution is optimal from a sensitivity point of view. This insight is relevant for model predictive control of fedbatch fermentation. ",

keywords = "Dynamic Optimization, Optimal Control, Fedbatch, Biotechnology, Process Control",

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year = "2021",

doi = "10.1016/j.ifacol.2021.08.261",

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AU - Ryde, Thomas Emil

AU - Wahlgreen, Morten Ryberg

AU - Nielsen, Marcus Krogh

AU - Horsholt, Steen

AU - Jorgensen, Sten Bay

AU - Jorgensen, John Bagterp

N1 - Conference code: 16

PY - 2021

Y1 - 2021

N2 - We provide optimal feed trajectories for fedbatch fermentation of microorganisms with substrate inhibition kinetics. We demonstrate that the optimal trajectories are non-unique and provide analytical procedures for solving the optimal control problem. Since, the optimal trajectories are non-unique this is essential for practical operations as a numerical solution could be any of the feasible non-unique optimal solutions. In addition, we investigate the sensitivity of the optimal trajectories and demonstrate that a bang-bang solution is optimal from a sensitivity point of view. This insight is relevant for model predictive control of fedbatch fermentation.

AB - We provide optimal feed trajectories for fedbatch fermentation of microorganisms with substrate inhibition kinetics. We demonstrate that the optimal trajectories are non-unique and provide analytical procedures for solving the optimal control problem. Since, the optimal trajectories are non-unique this is essential for practical operations as a numerical solution could be any of the feasible non-unique optimal solutions. In addition, we investigate the sensitivity of the optimal trajectories and demonstrate that a bang-bang solution is optimal from a sensitivity point of view. This insight is relevant for model predictive control of fedbatch fermentation.

KW - Dynamic Optimization

KW - Optimal Control

KW - Fedbatch

KW - Biotechnology

KW - Process Control

U2 - 10.1016/j.ifacol.2021.08.261

DO - 10.1016/j.ifacol.2021.08.261

M3 - Journal article

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EP - 323

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

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T2 - 16th IFAC Symposium on Advanced Control of Chemical Processes (ADCHEM 2021)

Y2 - 13 June 2021 through 16 June 2021

ER -

Optimal Feed Trajectories for Fedbatch Fermentation with Substrate Inhibition Kinetics

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Keywords

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