Optimal Control of a Fed-Batch Fermentation Involving Multiple Feeds

Chongyang Liu, Zhaohua Gong, Zhaoyi Huo and Bangyu Shen

Journal of Applied Mathematics, 2012, vol. 2012, 1-13

Abstract:

A nonlinear dynamical system, in which the feed rates of glycerol and alkali are taken as the control functions, is first proposed to formulate the fed-batch culture of 1,3-propanediol (1,3-PD) production. To maximize the 1,3-PD concentration at the terminal time, a constrained optimal control model is then presented. A solution approach is developed to seek the optimal feed rates based on control vector parametrization method and improved differential evolution algorithm. The proposed methodology yielded an increase by 32.17% of 1,3-PD concentration at the terminal time.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:245315

DOI: 10.1155/2012/245315

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