Publication: Optimal control of beer fermentation processes with Lipschitz-constraint on the control
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Optimal control of beer fermentation processes with Lipschitz-constraint on the control

- Article in a journal -
 

Area
Control

Author(s)
Torsten Bosse , Andreas Griewank

Published in
Journal of the Institute of Brewing

Year
2014

Abstract
Nowadays, one can find in almost all industrial products a trail of mathematical optimization. In particular, the theory and algorithms of optimal control have helped in various fields to reduce the production time and to improve the quality of the considered products. As a special class of applications, two optimal control formulations for the fermentation process of beer are presented. The reactions of the fermentation processes are modelled by a system of ordinary differential equations that are steered by the heating and cooling of the involved substrates. The occurring physical limitations, such as temperature limits and the requirement to avoid scenarios with unrealistic bang-bang controls, give rise to optimal control problems with general control constraints. Therefore, this paper has reviewed a forward–backward sweeping method for solving these kinds of optimal control problems and presents encouraging numerical results that were obtained by this approach.

AD Tools
ADiMat

BibTeX
@ARTICLE{
         Bosse2014Oco,
       author = "Bosse, Torsten and Griewank, Andreas",
       title = "Optimal control of beer fermentation processes with {L}ipschitz-constraint on the
         control",
       journal = "Journal of the Institute of Brewing",
       volume = "120",
       number = "4",
       issn = "2050-0416",
       url = "http://dx.doi.org/10.1002/jib.150",
       doi = "10.1002/jib.150",
       pages = "444--458",
       keywords = "fermentation process of beer, optimal control with control constraints,
         forward–backward sweeping methods, numerical results",
       year = "2014",
       abstract = "Nowadays, one can find in almost all industrial products a trail of mathematical
         optimization. In particular, the theory and algorithms of optimal control have helped in various
         fields to reduce the production time and to improve the quality of the considered products. As a
         special class of applications, two optimal control formulations for the fermentation process of beer
         are presented. The reactions of the fermentation processes are modelled by a system of ordinary
         differential equations that are steered by the heating and cooling of the involved substrates. The
         occurring physical limitations, such as temperature limits and the requirement to avoid scenarios
         with unrealistic bang-bang controls, give rise to optimal control problems with general control
         constraints. Therefore, this paper has reviewed a forward–backward sweeping method for
         solving these kinds of optimal control problems and presents encouraging numerical results that were
         obtained by this approach.",
       ad_area = "Control",
       ad_tools = "ADiMat"
}


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