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Numerical Algebra, Control and Optimization (NACO)
 

Optimal control of microbial fed-batch culture involving multiple feeds

Pages: 339 - 349, Volume 5, Issue 4, December 2015      doi:10.3934/naco.2015.5.339

 
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Jinggui Gao - College of Information Science and Engineering, Shandong University of Science and Technology, Qindao, Shandong 266510, China (email)
Xiaoyan Zhao - College of Information Science and Engineering, Shandong University of Science and Technology, Qindao, Shandong 266510, China (email)
Jinggang Zhai - College of Information Science and Engineering, Shandong University of Science and Technology, Qindao, Shandong 266510, China (email)

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.

Received: December 2014;      Revised: October 2015;      Available Online: October 2015.

 References