Practical algorithm for stochastic optimal control problem about microbial fermentation in batch culture
How to add glycerol to maximize production of 1,3-propanediol (1,3-PD) is a critical problem in process control of microbial fermentation. Most of the existing works are focusing on modelling this process through deterministic-based differential equations. However, this process is not deterministic,...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Springer Verlag
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/59573 |
| _version_ | 1848760516761092096 |
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| author | Wang, L. Yuan, J. Wu, Changzhi Wang, X. |
| author_facet | Wang, L. Yuan, J. Wu, Changzhi Wang, X. |
| author_sort | Wang, L. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | How to add glycerol to maximize production of 1,3-propanediol (1,3-PD) is a critical problem in process control of microbial fermentation. Most of the existing works are focusing on modelling this process through deterministic-based differential equations. However, this process is not deterministic, but intrinsically stochastic considering nature of interference. Thus, it is of importance to consider stochastic microorganism. In this paper, we will modelling this process through stochastic differential equations and maximizing production of 1,3-PD is formulated as an optimal control problem subject to continuous state constraints and stochastic disturbances. A modified particle swarm algorithm through integrating the hybrid Monte Carlo sampling and path integral is proposed to solve this problem. The constraint transcription, local smoothing and time-scaling transformation are introduced to handle the continuous state constraints. Numerical results show that, by employing the obtained optimal control governed by stochastic dynamical system, 1,3-PD concentration at the terminal time can be increased compared with the previous results. |
| first_indexed | 2025-11-14T10:17:01Z |
| format | Journal Article |
| id | curtin-20.500.11937-59573 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:17:01Z |
| publishDate | 2017 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-595732019-04-15T03:47:41Z Practical algorithm for stochastic optimal control problem about microbial fermentation in batch culture Wang, L. Yuan, J. Wu, Changzhi Wang, X. How to add glycerol to maximize production of 1,3-propanediol (1,3-PD) is a critical problem in process control of microbial fermentation. Most of the existing works are focusing on modelling this process through deterministic-based differential equations. However, this process is not deterministic, but intrinsically stochastic considering nature of interference. Thus, it is of importance to consider stochastic microorganism. In this paper, we will modelling this process through stochastic differential equations and maximizing production of 1,3-PD is formulated as an optimal control problem subject to continuous state constraints and stochastic disturbances. A modified particle swarm algorithm through integrating the hybrid Monte Carlo sampling and path integral is proposed to solve this problem. The constraint transcription, local smoothing and time-scaling transformation are introduced to handle the continuous state constraints. Numerical results show that, by employing the obtained optimal control governed by stochastic dynamical system, 1,3-PD concentration at the terminal time can be increased compared with the previous results. 2017 Journal Article http://hdl.handle.net/20.500.11937/59573 10.1007/s11590-017-1220-z Springer Verlag restricted |
| spellingShingle | Wang, L. Yuan, J. Wu, Changzhi Wang, X. Practical algorithm for stochastic optimal control problem about microbial fermentation in batch culture |
| title | Practical algorithm for stochastic optimal control problem about microbial fermentation in batch culture |
| title_full | Practical algorithm for stochastic optimal control problem about microbial fermentation in batch culture |
| title_fullStr | Practical algorithm for stochastic optimal control problem about microbial fermentation in batch culture |
| title_full_unstemmed | Practical algorithm for stochastic optimal control problem about microbial fermentation in batch culture |
| title_short | Practical algorithm for stochastic optimal control problem about microbial fermentation in batch culture |
| title_sort | practical algorithm for stochastic optimal control problem about microbial fermentation in batch culture |
| url | http://hdl.handle.net/20.500.11937/59573 |