Optimal Control of a Fed-Batch Fermentation Involving Multiple Feeds
A nonlinear dynamical system, in which the feed rates of glycerol and alkali are taken as the control functions, is first proposed to formulate the fed-batch culture of 1,3-propanediol (1,3-PD) production. To maximize the 1,3-PD concentration at the terminal time, a constrained optimal control model...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/245315 |
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| _version_ | 1849308029971857408 |
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| author | Chongyang Liu Zhaohua Gong Zhaoyi Huo Bangyu Shen |
| author_facet | Chongyang Liu Zhaohua Gong Zhaoyi Huo Bangyu Shen |
| author_sort | Chongyang Liu |
| collection | DOAJ |
| description | A nonlinear dynamical system, in which the feed rates of glycerol and alkali are taken as the control functions, is first proposed to formulate the fed-batch culture of 1,3-propanediol (1,3-PD) production. To maximize the 1,3-PD concentration at the terminal time, a constrained optimal control model is then presented. A solution approach is developed to seek the optimal feed rates based on control vector parametrization method and improved differential evolution algorithm. The proposed methodology yielded an increase by 32.17% of 1,3-PD concentration at the terminal time. |
| format | Article |
| id | doaj-art-16e67e43111f4dc4bab5ac2dafb51f58 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-16e67e43111f4dc4bab5ac2dafb51f582025-08-20T03:54:33ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/245315245315Optimal Control of a Fed-Batch Fermentation Involving Multiple FeedsChongyang Liu0Zhaohua Gong1Zhaoyi Huo2Bangyu Shen3School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, Shandong, ChinaSchool of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, Shandong, ChinaSchool of Energy and Power Engineering, Dalian University of Technology, Dalian, Liaoning 116024, ChinaSchool of Mathematical Science, Huaiyin Normal University, Huai'an 223300, Jiangsu, ChinaA nonlinear dynamical system, in which the feed rates of glycerol and alkali are taken as the control functions, is first proposed to formulate the fed-batch culture of 1,3-propanediol (1,3-PD) production. To maximize the 1,3-PD concentration at the terminal time, a constrained optimal control model is then presented. A solution approach is developed to seek the optimal feed rates based on control vector parametrization method and improved differential evolution algorithm. The proposed methodology yielded an increase by 32.17% of 1,3-PD concentration at the terminal time.http://dx.doi.org/10.1155/2012/245315 |
| spellingShingle | Chongyang Liu Zhaohua Gong Zhaoyi Huo Bangyu Shen Optimal Control of a Fed-Batch Fermentation Involving Multiple Feeds Journal of Applied Mathematics |
| title | Optimal Control of a Fed-Batch Fermentation Involving Multiple Feeds |
| title_full | Optimal Control of a Fed-Batch Fermentation Involving Multiple Feeds |
| title_fullStr | Optimal Control of a Fed-Batch Fermentation Involving Multiple Feeds |
| title_full_unstemmed | Optimal Control of a Fed-Batch Fermentation Involving Multiple Feeds |
| title_short | Optimal Control of a Fed-Batch Fermentation Involving Multiple Feeds |
| title_sort | optimal control of a fed batch fermentation involving multiple feeds |
| url | http://dx.doi.org/10.1155/2012/245315 |
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