Optimization of a fed-batch bioreactor for 1,3-propanediol production using hybrid nonlinear optimal control
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 p...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier Ltd.
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/37057 |
| _version_ | 1848754942081236992 |
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| author | Ye, J. Xu, Honglei Feng, E. Xiu, Z. |
| author_facet | Ye, J. Xu, Honglei Feng, E. Xiu, Z. |
| author_sort | Ye, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T08:48:25Z |
| format | Journal Article |
| id | curtin-20.500.11937-37057 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:48:25Z |
| publishDate | 2014 |
| publisher | Elsevier Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-370572017-09-13T15:52:52Z Optimization of a fed-batch bioreactor for 1,3-propanediol production using hybrid nonlinear optimal control Ye, J. Xu, Honglei Feng, E. Xiu, Z. Hybrid system Optimization algorithma Parametric sensitivity system Inequality path constraint Optimal control 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. 2014 Journal Article http://hdl.handle.net/20.500.11937/37057 10.1016/j.jprocont.2014.08.002 Elsevier Ltd. fulltext |
| spellingShingle | Hybrid system Optimization algorithma Parametric sensitivity system Inequality path constraint Optimal control Ye, J. Xu, Honglei Feng, E. Xiu, Z. Optimization of a fed-batch bioreactor for 1,3-propanediol production using hybrid nonlinear optimal control |
| title | Optimization of a fed-batch bioreactor for 1,3-propanediol production using hybrid nonlinear optimal control |
| title_full | Optimization of a fed-batch bioreactor for 1,3-propanediol production using hybrid nonlinear optimal control |
| title_fullStr | Optimization of a fed-batch bioreactor for 1,3-propanediol production using hybrid nonlinear optimal control |
| title_full_unstemmed | Optimization of a fed-batch bioreactor for 1,3-propanediol production using hybrid nonlinear optimal control |
| title_short | Optimization of a fed-batch bioreactor for 1,3-propanediol production using hybrid nonlinear optimal control |
| title_sort | optimization of a fed-batch bioreactor for 1,3-propanediol production using hybrid nonlinear optimal control |
| topic | Hybrid system Optimization algorithma Parametric sensitivity system Inequality path constraint Optimal control |
| url | http://hdl.handle.net/20.500.11937/37057 |