Singular optimal control strategy for a fed‐batch bioreactor: Numerical approach

Menawat, Anil S.; Mutharasan, Raj; Coughanowr, D. R.

doi:10.1002/aic.690330510

Cited by 37 publications

(21 citation statements)

References 24 publications

(17 reference statements)

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“…The optimal control theory has been applied to maximize the cell concentration and metabolite yield by controlling nutrient concentration, temperature, and pH (Menawat et al, 1987). Ramirez (1988, 1990) applied optimal control theory to a yeast system where the control variable is the nutrient feeding rate.…”

Section: Introductionmentioning

confidence: 99%

Optimal fed‐batch control of induced foreign protein production by recombinant bacteria

1994

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Optimal control strategies for maximizing the production of induced foreign protein by recombinant bacteria were sought by the optimal control theory. Nutrient and inducer feeding rates were selected as key control variables. Since the problem is linear in the control variables, the optimal control is bang-bang or singular. Singular solutions are shown to exist. The optimal control theory showed that the specific growth rate with respect to nutrient concentration must be kept in its maximum phase and that there exist both a cell growth period and a protein production period. The optimal control theory calculates exactly the growth and production periods. The glucose concentration is controlled along a singular arc to give a maximum specific growth rate. The inducer level is controlled along a separate singular arc.

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Section: Introductionmentioning

confidence: 99%

Optimal fed‐batch control of induced foreign protein production by recombinant bacteria

1994

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“…In the calculation of the analytical expressions (19) and (20), the objective function represented by eq. (15) does not appear.…”

Section: Implementation Issuesmentioning

confidence: 99%

Optimal Operation of Semi-Batch Processes with a Single Reaction

Паланки¹,

Vemuri²

2005

International Journal of Chemical Reactor Engineering

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In a large number of industrial semi-batch reactor applications, a single reaction takes place in the reactor and the operational objective is to compute the optimal feed rate of reactants and the optimal batch temperature that optimizes an objective function at the end of a fixed batch time. In this work, it is shown that the optimal operating policy can be split into several time intervals. Analytical expressions for the optimal input are developed for each interval. Parametric uncertainty is handled by implementing this strategy in closed-loop. This methodology is illustrated via simulation of two semi-batch reactor applications.

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“…Menawat et al [64] proposed a numerical technique embedding the singular control problem of maximizing production of baker's yeast in a fed-batch reactor in a sequence of nonsingular problems that converge to singular one in a limit as the ratio between the two time-scales (e) tends to in®nity. Yet another approach was proposed by San and Stephanopoulos [65] where the feed concentration is employed as a control variable in a solution that ®rst determines the optimal reactor substrate concentration and subsequently solves for the feed concentration pro®le that results in the optimal substrate concentration pro®le.…”

Section: Other Optimal Control Approachesmentioning

confidence: 99%

Control of fermenters – a review

Rani¹,

Rao²

1999

Bioprocess Engineering

133

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Fermenter control has been an active area of research and has attracted more attention in recent years. This is due to the new developments in other related areas which can be exploited to overcome the inherent dif®-culties in fermenter control. Beginning with conventional regulatory control of operating variables such as temperature, pH and dissolved oxygen concentration, research in fermenter control has undergone signi®cant changes including the recent neural network based approaches. The objective of the paper is to focus the attention of the researchers to the developments in the control of batch, fedbatch and continuous fermenters over the past few years.

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Singular optimal control strategy for a fed‐batch bioreactor: Numerical approach

Cited by 37 publications

References 24 publications

Optimal fed‐batch control of induced foreign protein production by recombinant bacteria

Optimal fed‐batch control of induced foreign protein production by recombinant bacteria

Optimal Operation of Semi-Batch Processes with a Single Reaction

Control of fermenters – a review

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