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论文类型：期刊论文
发表时间：2008-11-01
发表刊物：NONLINEAR ANALYSIS-HYBRID SYSTEMS
收录刊物：SCIE、EI、Scopus
卷号：2
期号：4
页面范围：1168-1174
ISSN号：1751-570X
关键字：Switching system; Optimal control; Optimality condition; Fed-batch culture
摘要：In fed-batch culture of glycerol bio-dissimilation to 1,3-propanediol (1,3-PD), the aim of adding glycerol is to obtain as much 1,3-PD as possible. Hence, a proper feed strategy is required during the process. In this paper, we present an optimal switching control model based on our proposed controlled switching system. Some properties of the controlled switching system are obtained. Subsequently, we prove the existence of optimal control. In order to deduce the optimality conditions, we transcribe the optimal switching control model into an equivalent one with fixed switching instants and parameters. Finally, the optimality conditions of the equivalent problem are investigated by calculus of variations. (C) 2008 Elsevier Ltd. All rights reserved.