Robust Multi-Objective Singular Optimal Control Ofpenicillin Fermentation Process

Robust Multi-Objective Singular Optimal Control Ofpenicillin Fermentation Process

Gustavo B. Libotte

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Fran S. Lobato

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Gustavo M. Platt

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Francisco D. Moura Neto

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Universidade do Estado do Rio de Janeiro

Robust Multi-Objective Singular Optimal Control Ofpenicillin Fermentation Process

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Abstract

The determination of optimal feeding profile of fed-batch fermentation requires the solution of a singular optimal control problem. The complexity in obtaining the solution to this singular problem is due to the nonlinear dynamics of the system model, the presence of control variables in linear form and the existence of constraints in both the state and control variables. Traditionally, during the optimization process, uncertainties associated with design variables, control parameters and mathematical model are not considered. In this contribution, a systematic methodology to evaluate uncertainties during the resolution of a singular optimal control problem is proposed. This approach consists of the Multi-objective Optimization Differential Evolution algorithm associated with Effective Mean Concept. The proposed methodology is applied to determine the feed substrate concentration in fed-batch penicillin fermentation process. The robust multi-objective singular optimal control problem consists of maximizing the productivity and minimizing the operation total time.

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18 Cites in Article

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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How to Cite This Article

Gustavo B. Libotte. 2020. \u201cRobust Multi-Objective Singular Optimal Control Ofpenicillin Fermentation Process\u201d. Global Journal of Research in Engineering - J: General Engineering GJRE-J Volume 20 (GJRE Volume 20 Issue J3).

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GJRE Volume 20 Issue J3

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

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GJRE-J Classification FOR Code: 090299

Submission ReceivedDecember 6, 2019
Peer Review Double Blind
Handling Editor
Accepted January 3, 2020
Published January 15, 2020

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v1.2

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June 3, 2020

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