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发布时间：2019-03-09
论文类型：期刊论文
发表时间：2011-07-01
发表刊物：APPLIED MATHEMATICAL MODELLING
收录刊物：EI、SCIE
卷号：35
期号：7
页面范围：3276-3284
ISSN号：0307-904X
关键字：Switched system; Optimization; Time-scaling transform; Fed-batch culture
摘要：This paper considers modelling and optimization of a microbial fed-batch fermentation process. A switched system with variable switching instants is proposed to describe the fermentation process of glycerol bioconversion to 1,3-propanediol (1,3-PD). Taking the concentration of 1,3-PD at the terminal time as the cost function and the switching instants as optimization variables, an optimization model involving switched system and subject to continuous state inequality constraints is then presented. By introducing a time-scaling transform, the optimization model is transcribed into an equivalent one with parameters and fixed switching instants. A computational approach to seek the optimal solution is constructed on the basis of constraint transcription and smoothing approximation techniques. Numerical results show that, by employing the optimal switching instants, the concentration of 1,3-PD can be increased considerably compared with previous results. (C) 2011 Elsevier Inc. All rights reserved.