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Optimal boundary control for the heat equation with application to freezing with phase change

Authors

Christoph Josef Backi, Jan Tommy Gravdahl
Type: Article
Publication Date: 2013-11-01
Citations: 6
DOI: https://doi.org/10.1109/aucc.2013.6697308

Abstract

In this paper an approach for optimal boundary control of a parabolic partial differential equation (PDE) is presented. The parabolic PDE is the heat equation for thermal conduction. A technical application for this is the freezing of fish in a vertical plate freezer. As it is a dominant phenomenon in the process of freezing, the latent heat of fusion is included in the model. The aim of the optimization is to freeze the interior of a fish block below -18 °C in a predefined time horizon with an energy consumption that is as low as possible assuming that this corresponds to high freezing temperatures.

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  • Duo Research Archive (University of Oslo)
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  • Australian Control Conference
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1992-01-01
Katherine Renee Deaton

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Boundary Control of PDEs

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