A class of max-min optimal control problems with applications to chromatography
In this paper, we consider a class of non-standard optimal control problems in which the objective function is in max-min form and the state variables evolve over different time horizons. Such problems arise in the control of gradient elution chromatography—an industrial process used to separate and...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Conference Paper |
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COC Publications, Curtin University
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/4363 |
| _version_ | 1848744495189852160 |
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| author | Loxton, Ryan Chai, Q. Teo, Kok Lay |
| author2 | Honglei Xu |
| author_facet | Honglei Xu Loxton, Ryan Chai, Q. Teo, Kok Lay |
| author_sort | Loxton, Ryan |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider a class of non-standard optimal control problems in which the objective function is in max-min form and the state variables evolve over different time horizons. Such problems arise in the control of gradient elution chromatography—an industrial process used to separate and purify multi-component chemical mixtures. We develop a computational method for solving this class of optimal control problems based on the control parameterization technique, a time-scaling transformation, and a new exact penalty method. |
| first_indexed | 2025-11-14T06:02:22Z |
| format | Conference Paper |
| id | curtin-20.500.11937-4363 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:02:22Z |
| publishDate | 2012 |
| publisher | COC Publications, Curtin University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-43632023-02-02T07:57:36Z A class of max-min optimal control problems with applications to chromatography Loxton, Ryan Chai, Q. Teo, Kok Lay Honglei Xu Xinmin Yang Yi Zhang In this paper, we consider a class of non-standard optimal control problems in which the objective function is in max-min form and the state variables evolve over different time horizons. Such problems arise in the control of gradient elution chromatography—an industrial process used to separate and purify multi-component chemical mixtures. We develop a computational method for solving this class of optimal control problems based on the control parameterization technique, a time-scaling transformation, and a new exact penalty method. 2012 Conference Paper http://hdl.handle.net/20.500.11937/4363 COC Publications, Curtin University fulltext |
| spellingShingle | Loxton, Ryan Chai, Q. Teo, Kok Lay A class of max-min optimal control problems with applications to chromatography |
| title | A class of max-min optimal control problems with applications to chromatography |
| title_full | A class of max-min optimal control problems with applications to chromatography |
| title_fullStr | A class of max-min optimal control problems with applications to chromatography |
| title_full_unstemmed | A class of max-min optimal control problems with applications to chromatography |
| title_short | A class of max-min optimal control problems with applications to chromatography |
| title_sort | class of max-min optimal control problems with applications to chromatography |
| url | http://hdl.handle.net/20.500.11937/4363 |