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 o C in a predefined time horizon with an energy consumption that is as low as possible assuming that this corresponds to high freezing temperatures.
This problem was initially introduced in REF for an application that describes the freezing of fish in a vertical plate freezer.
Optimal boundary control for the heat equation with application to freezing with phase change
2013 Australian Control Conference
2013 Australian Control Conference
Materials Science Computer Science