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dc.contributor.authorYe, J.
dc.contributor.authorXu, Honglei
dc.contributor.authorFeng, E.
dc.contributor.authorXiu, Z.
dc.date.accessioned2017-01-30T13:59:21Z
dc.date.available2017-01-30T13:59:21Z
dc.date.created2015-05-22T08:32:23Z
dc.date.issued2014
dc.identifier.citationYe, J. and Xu, H. and Feng, E. and Xiu, Z. 2014. Optimization of a fed-batch bioreactor for 1,3-propanediol productio nusing hybrid nonlinear optimal control. Journal of Process Control. 24 (10): pp. 1556-1569.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/37057
dc.identifier.doi10.1016/j.jprocont.2014.08.002
dc.description.abstract

A nonlinear hybrid system was proposed to describe the fed-batch bioconversion of glycerol to 1,3-propanediol with substrate open loop inputs and pH logic control in previous work [47]. The current work concerns the optimal control of this fed-batch process. We slightly modify the hybrid system to provide a more convenient mathematical description for the optimal control of the fed-batch culture. Taking the feeding instants and the terminal time as decision variables, we formulate an optimal control model with the productivity of 1,3-propanediol as the performance index. Inequality path constraints involved in the optimal control problem are transformed into a group of end-point constraints by introducing an auxiliary hybrid system. The original optimal control problem is associated with a family of approximation problems. The gradients of the cost functional and the end-point constraint functions are derived from the parametric sensitivity system. On this basis, we construct a gradient-based algorithm to solve the approximation problems. Numerical results show that the productivity of 1,3-propanediol can be increased considerably by employing our optimal control policy.

dc.publisherElsevier Ltd.
dc.subjectHybrid system
dc.subjectOptimization algorithma
dc.subjectParametric sensitivity system
dc.subjectInequality path constraint
dc.subjectOptimal control
dc.titleOptimization of a fed-batch bioreactor for 1,3-propanediol production using hybrid nonlinear optimal control
dc.typeJournal Article
dcterms.source.volume24
dcterms.source.startPage1556
dcterms.source.endPage1569
dcterms.source.issn0959-1524
dcterms.source.titleJournal of Process Control
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access


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