Journal of Applied Mathematics

Optimal Control of a Fed-Batch Fermentation Involving Multiple Feeds

Chongyang Liu, Zhaohua Gong, Zhaoyi Huo, and Bangyu Shen

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 245315, 13 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495075

Digital Object Identifier
doi:10.1155/2012/245315

Mathematical Reviews number (MathSciNet)
MR2898070

Zentralblatt MATH identifier
1242.49087

Citation

Liu, Chongyang; Gong, Zhaohua; Huo, Zhaoyi; Shen, Bangyu. Optimal Control of a Fed-Batch Fermentation Involving Multiple Feeds. J. Appl. Math. 2012 (2012), Article ID 245315, 13 pages. doi:10.1155/2012/245315. https://projecteuclid.org/euclid.jam/1355495075


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