Robust multi-objective optimal switching control arising in 1,3-propanediol microbial fed-batch process
This paper considers optimal control of glycerol producing 1,3-propanediol (1,3-PD) via microbial fed-batch fermentation. The fed-batch process is formulated as a nonlinear switched time-delay system. In general, the time-delay in the fed-batch process cannot be exactly estimated. Our goal is to des...
| Main Authors: | , , , , |
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| Format: | Journal Article |
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Elsevier
2017
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| Online Access: | http://purl.org/au-research/grants/arc/DP160102819 http://hdl.handle.net/20.500.11937/58238 |
| _version_ | 1848760210054709248 |
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| author | Liu, Chongyang Gong, Z. Teo, Kok Lay Sun, Jie Caccetta, Louis |
| author_facet | Liu, Chongyang Gong, Z. Teo, Kok Lay Sun, Jie Caccetta, Louis |
| author_sort | Liu, Chongyang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper considers optimal control of glycerol producing 1,3-propanediol (1,3-PD) via microbial fed-batch fermentation. The fed-batch process is formulated as a nonlinear switched time-delay system. In general, the time-delay in the fed-batch process cannot be exactly estimated. Our goal is to design an optimal switching control scheme to simultaneously maximize 1,3-PD productivity and 1,3-PD yield under time-delay uncertainty. Accordingly, we propose a robust multi-objective optimal switching control model, in which two objectives, i.e., 1,3-PD productivity and 1,3-PD yield, and their sensitivities with respect to uncertain time-delay are considered in the objective vector. The control variables in this problem are the feeding rate of glycerol, the switching instants and the terminal time of the process. By introducing an auxiliary dynamic system to calculate the objective sensitivities and performing a time-scaling transformation, we obtain an equivalent multi-objective optimal switching control problem in standard form. We then convert the equivalent multi-objective optimal control problem into a sequence of single-objective optimal switching control problems by using a modified normal boundary intersection method. A novel gradient-based single-objective solver combining control parameterization with constraint transcription technique is developed to solve these resulting single-objective optimal control problems. Finally, numerical results are provided to verify the effectiveness of the proposed solution approach. |
| first_indexed | 2025-11-14T10:12:09Z |
| format | Journal Article |
| id | curtin-20.500.11937-58238 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:12:09Z |
| publishDate | 2017 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-582382022-10-27T04:40:04Z Robust multi-objective optimal switching control arising in 1,3-propanediol microbial fed-batch process Liu, Chongyang Gong, Z. Teo, Kok Lay Sun, Jie Caccetta, Louis This paper considers optimal control of glycerol producing 1,3-propanediol (1,3-PD) via microbial fed-batch fermentation. The fed-batch process is formulated as a nonlinear switched time-delay system. In general, the time-delay in the fed-batch process cannot be exactly estimated. Our goal is to design an optimal switching control scheme to simultaneously maximize 1,3-PD productivity and 1,3-PD yield under time-delay uncertainty. Accordingly, we propose a robust multi-objective optimal switching control model, in which two objectives, i.e., 1,3-PD productivity and 1,3-PD yield, and their sensitivities with respect to uncertain time-delay are considered in the objective vector. The control variables in this problem are the feeding rate of glycerol, the switching instants and the terminal time of the process. By introducing an auxiliary dynamic system to calculate the objective sensitivities and performing a time-scaling transformation, we obtain an equivalent multi-objective optimal switching control problem in standard form. We then convert the equivalent multi-objective optimal control problem into a sequence of single-objective optimal switching control problems by using a modified normal boundary intersection method. A novel gradient-based single-objective solver combining control parameterization with constraint transcription technique is developed to solve these resulting single-objective optimal control problems. Finally, numerical results are provided to verify the effectiveness of the proposed solution approach. 2017 Journal Article http://hdl.handle.net/20.500.11937/58238 10.1016/j.nahs.2017.01.006 http://purl.org/au-research/grants/arc/DP160102819 http://purl.org/au-research/grants/arc/DP140100289 Elsevier fulltext |
| spellingShingle | Liu, Chongyang Gong, Z. Teo, Kok Lay Sun, Jie Caccetta, Louis Robust multi-objective optimal switching control arising in 1,3-propanediol microbial fed-batch process |
| title | Robust multi-objective optimal switching control arising in 1,3-propanediol microbial fed-batch process |
| title_full | Robust multi-objective optimal switching control arising in 1,3-propanediol microbial fed-batch process |
| title_fullStr | Robust multi-objective optimal switching control arising in 1,3-propanediol microbial fed-batch process |
| title_full_unstemmed | Robust multi-objective optimal switching control arising in 1,3-propanediol microbial fed-batch process |
| title_short | Robust multi-objective optimal switching control arising in 1,3-propanediol microbial fed-batch process |
| title_sort | robust multi-objective optimal switching control arising in 1,3-propanediol microbial fed-batch process |
| url | http://purl.org/au-research/grants/arc/DP160102819 http://purl.org/au-research/grants/arc/DP160102819 http://hdl.handle.net/20.500.11937/58238 |