Robust Optimal Control of a Microbial Batch Culture Process
This paper considers the microbial batch culture process for producing 1,3-propanediol (1,3-PD) via glycerol fermentation. Our goal was to design an optimal control scheme for this process, with the aim of balancing two (perhaps competing) objectives: (i) the process should yield a sufficiently high...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Springer New York LLC
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/41801 |
| _version_ | 1848756244608712704 |
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| author | Cheng, G. Wang, L. Loxton, Ryan Lin, Qun |
| author_facet | Cheng, G. Wang, L. Loxton, Ryan Lin, Qun |
| author_sort | Cheng, G. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper considers the microbial batch culture process for producing 1,3-propanediol (1,3-PD) via glycerol fermentation. Our goal was to design an optimal control scheme for this process, with the aim of balancing two (perhaps competing) objectives: (i) the process should yield a sufficiently high concentration of 1,3-PD at the terminal time and (ii) the process should be robust with respect to changes in various uncertain system parameters. Accordingly, we pose an optimal control problem, in which both process yield and process sensitivity are considered in the objective function. The control variables in this problem are the terminal time of the batch culture process and the initial concentrations of biomass and glycerol in the batch reactor. By performing a time-scaling transformation and introducing an auxiliary dynamic system to calculate process sensitivity, we obtain an equivalent optimal control problem in standard form. We then develop a particle swarm optimization algorithm for solving this equivalent problem. Finally, we explore the trade-off between process efficiency and process robustness via numerical simulations. |
| first_indexed | 2025-11-14T09:09:07Z |
| format | Journal Article |
| id | curtin-20.500.11937-41801 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:09:07Z |
| publishDate | 2015 |
| publisher | Springer New York LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-418012019-02-27T05:38:02Z Robust Optimal Control of a Microbial Batch Culture Process Cheng, G. Wang, L. Loxton, Ryan Lin, Qun This paper considers the microbial batch culture process for producing 1,3-propanediol (1,3-PD) via glycerol fermentation. Our goal was to design an optimal control scheme for this process, with the aim of balancing two (perhaps competing) objectives: (i) the process should yield a sufficiently high concentration of 1,3-PD at the terminal time and (ii) the process should be robust with respect to changes in various uncertain system parameters. Accordingly, we pose an optimal control problem, in which both process yield and process sensitivity are considered in the objective function. The control variables in this problem are the terminal time of the batch culture process and the initial concentrations of biomass and glycerol in the batch reactor. By performing a time-scaling transformation and introducing an auxiliary dynamic system to calculate process sensitivity, we obtain an equivalent optimal control problem in standard form. We then develop a particle swarm optimization algorithm for solving this equivalent problem. Finally, we explore the trade-off between process efficiency and process robustness via numerical simulations. 2015 Journal Article http://hdl.handle.net/20.500.11937/41801 10.1007/s10957-014-0654-z Springer New York LLC fulltext |
| spellingShingle | Cheng, G. Wang, L. Loxton, Ryan Lin, Qun Robust Optimal Control of a Microbial Batch Culture Process |
| title | Robust Optimal Control of a Microbial Batch Culture Process |
| title_full | Robust Optimal Control of a Microbial Batch Culture Process |
| title_fullStr | Robust Optimal Control of a Microbial Batch Culture Process |
| title_full_unstemmed | Robust Optimal Control of a Microbial Batch Culture Process |
| title_short | Robust Optimal Control of a Microbial Batch Culture Process |
| title_sort | robust optimal control of a microbial batch culture process |
| url | http://hdl.handle.net/20.500.11937/41801 |