Title
Optimal switching control of a fed-batch fermentation process
Abstract
Considering the hybrid nature in fed-batch culture of glycerol biconversion to 1,3-propanediol (1,3-PD) by Klebsiella pneumoniae, we propose a state-based switching dynamical system to describe the fermentation process. To maximize the concentration of 1,3-PD at the terminal time, an optimal switching control model subject to our proposed switching system and constraints of continuous state inequality and control function is presented. Because the number of the switchings is not known a priori, we reformulate the above optimal control problem as a two-level optimization problem. An optimization algorithm is developed to seek the optimal solution on the basis of a heuristic approach and control parametrization technique. Numerical results show that, by employing the obtained optimal control strategy, 1,3-PD concentration at the terminal time can be increased considerably.
Year
DOI
Venue
2012
10.1007/s10898-011-9663-8
J. Global Optimization
Keywords
Field
DocType
Optimal switching control,Control parametrization,Time scaling transform,Heuristic approach,Fed-batch fermentation
Mathematical optimization,Heuristic,Optimal control,Parametrization,Control theory,Control function,A priori and a posteriori,Fermentation,Optimization problem,Dynamical system,Mathematics
Journal
Volume
Issue
ISSN
52
2
0925-5001
Citations 
PageRank 
References 
6
0.51
14
Authors
4
Name
Order
Citations
PageRank
Chongyang Liu1315.81
Zhaohua Gong2225.31
Enmin Feng311124.41
Hongchao Yin4224.55