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Optimal Control of a Fed-Batch Fermentation Involving Multiple Feeds

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  • Chongyang Liu
  • Zhaohua Gong
  • Zhaoyi Huo
  • Bangyu Shen

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.

Suggested Citation

  • Chongyang Liu & Zhaohua Gong & Zhaoyi Huo & Bangyu Shen, 2012. "Optimal Control of a Fed-Batch Fermentation Involving Multiple Feeds," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, March.
  • Handle: RePEc:hin:jnljam:245315
    DOI: 10.1155/2012/245315
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