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论文类型：期刊论文
发表时间：2012-05-01
发表刊物：INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
收录刊物：SCIE、EI
卷号：43
期号：5
页面范围：809-819
ISSN号：0020-7721
关键字：nonlinear dynamical system; optimal control; continuous state constraint; smoothing approximation; fed-batch fermentation
摘要：In this article, we propose a controlled nonlinear dynamical system with variable switching instants, in which the feeding rate of glycerol is regarded as the control function and the moments between the batch and feeding processes as switching instants, to formulate the fed-batch fermentation of glycerol bioconversion to 1,3-propanediol (1,3-PD). Some important properties of the proposed system and its solution are then discussed. Taking the concentration of 1,3-PD at the terminal time as the cost functional, we establish an optimal control model involving the controlled nonlinear dynamical system and subject to continuous state inequality constraints. The existence of the optimal control is also proved. A computational approach is constructed on the basis of constraint transcription and smoothing approximation techniques. Numerical results show that, by employing the optimal control strategy, the concentration of 1,3-PD at the terminal time can be increased considerably.