Optimal control of  microbial fed-batch  culture involvingmultiple feeds

Jinggui  Gao; Xiaoyan  Zhao; Jinggang  Zhai

doi:10.3934/naco.2015.5.339

Article Contents

2015, Volume 5, Issue 4: 339-349. Doi: 10.3934/naco.2015.5.339

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Optimal control of microbial fed-batch culture involving multiple feeds

1.
College of Information Science and Engineering, Shandong University of Science and Technology, Qindao, Shandong 266510

Received: December 2014

Revised: October 2015

Published: October 2015

Abstract / Introduction Related Papers Cited by

Abstract

In this paper, we consider optimal control problem in the fed-batch fermentation of glycerol by Klebsiella pneumoniae with open loop glycerol input and pH logic control, while the feeding volume of glycerol is regarded as the control variable. To maximize the concentration of 1,3-PD at the terminal time, an optimal control model is established, and a computational approach is constructed to solve the control model. Finally, the numerical simulations show that the terminal concentration of producing 1,3-PD has been increased obviously by employing the optimal feeding strategy.

Keywords:

Nonlinear dynamical system; optimal control; continuous state inequality constraints; fed-batch fermentation.

Mathematics Subject Classification: Primary: 34K45, 49N25; Secondary: 49N90, 92C45.

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