Multi-objective optimization of nonlinear switched time-delay systems in fed-batch process
© 2016 Elsevier Inc.Maximization of productivity and minimization of consumption are two top priorities for biotechnological industry. In this paper, we model a fed-batch process as a nonlinear switched time-delay system. Taking the productivity of target product and the consumption rate of substrat...
| Main Authors: | , , , |
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| Format: | Journal Article |
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Elsevier
2016
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| Online Access: | http://purl.org/au-research/grants/arc/DP140100289 http://hdl.handle.net/20.500.11937/52213 |
| _version_ | 1848758874059833344 |
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| author | Liu, Chongyang Gong, Zhaohua Teo, Kok Lay Feng, E. |
| author_facet | Liu, Chongyang Gong, Zhaohua Teo, Kok Lay Feng, E. |
| author_sort | Liu, Chongyang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2016 Elsevier Inc.Maximization of productivity and minimization of consumption are two top priorities for biotechnological industry. In this paper, we model a fed-batch process as a nonlinear switched time-delay system. Taking the productivity of target product and the consumption rate of substrate as the objective functions, we present a multi-objective optimization problem involving the nonlinear switched time-delay system and subject to continuous state inequality constraints. To solve the multi-objective optimization problem, we first convert the problem into a sequence of single-objective optimization problems by using convex weighted sum and normal boundary intersection methods. A gradient-based single-objective solver incorporating constraint transcription technique is then developed to solve these single-objective optimization problems. Finally, a numerical example is provided to verify the effectiveness of the numerical solution approach. Numerical results show that the normal boundary intersection method in conjunction with the developed single-objective solver is more favourable than the convex weighted sum method. |
| first_indexed | 2025-11-14T09:50:55Z |
| format | Journal Article |
| id | curtin-20.500.11937-52213 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:55Z |
| publishDate | 2016 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-522132022-10-12T02:43:59Z Multi-objective optimization of nonlinear switched time-delay systems in fed-batch process Liu, Chongyang Gong, Zhaohua Teo, Kok Lay Feng, E. © 2016 Elsevier Inc.Maximization of productivity and minimization of consumption are two top priorities for biotechnological industry. In this paper, we model a fed-batch process as a nonlinear switched time-delay system. Taking the productivity of target product and the consumption rate of substrate as the objective functions, we present a multi-objective optimization problem involving the nonlinear switched time-delay system and subject to continuous state inequality constraints. To solve the multi-objective optimization problem, we first convert the problem into a sequence of single-objective optimization problems by using convex weighted sum and normal boundary intersection methods. A gradient-based single-objective solver incorporating constraint transcription technique is then developed to solve these single-objective optimization problems. Finally, a numerical example is provided to verify the effectiveness of the numerical solution approach. Numerical results show that the normal boundary intersection method in conjunction with the developed single-objective solver is more favourable than the convex weighted sum method. 2016 Journal Article http://hdl.handle.net/20.500.11937/52213 10.1016/j.apm.2016.07.010 http://purl.org/au-research/grants/arc/DP140100289 Elsevier fulltext |
| spellingShingle | Liu, Chongyang Gong, Zhaohua Teo, Kok Lay Feng, E. Multi-objective optimization of nonlinear switched time-delay systems in fed-batch process |
| title | Multi-objective optimization of nonlinear switched time-delay systems in fed-batch process |
| title_full | Multi-objective optimization of nonlinear switched time-delay systems in fed-batch process |
| title_fullStr | Multi-objective optimization of nonlinear switched time-delay systems in fed-batch process |
| title_full_unstemmed | Multi-objective optimization of nonlinear switched time-delay systems in fed-batch process |
| title_short | Multi-objective optimization of nonlinear switched time-delay systems in fed-batch process |
| title_sort | multi-objective optimization of nonlinear switched time-delay systems in fed-batch process |
| url | http://purl.org/au-research/grants/arc/DP140100289 http://hdl.handle.net/20.500.11937/52213 |