A class of max-min optimal control problems with applications to chromatography
Access Status
Open access
Authors
Loxton, Ryan
Chai, Q.
Teo, Kok Lay
Date
2012Type
Conference Paper
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Loxton, Ryan and Chai, Qinqin and Teo, Kok Lay. 2012. A class of max-min optimal control problems with applications to chromatography, in Honglei Xu, Xinmin Yang and Yi Zhang (ed), Proceedings of the 5th International Conference on Optimization and Control with Applications, Dec 4-8 2012. Beijing, China: COC Publications, Curtin University.
Source Title
Proceedings of the 5th International Conference on Optimization and Control with Applications
Source Conference
5th International Conference on Optimization and Control with Applications
Remarks
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Abstract
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.
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