Abstract
A nonlinear model of heat transfer in a solid structure controlled by a Peltier element is considered. The thermoelectrical converter in between two cylindrical bodies regulates temperature distribution in one cylinder, while the other body is used as the thermal capacitor. An optimal control problem is stated to minimize heat losses in the electrical circuit of the Peltier element in a given time interval. A feedforward piecewise constant control signal is designed to reach the vicinity of a desired steady state by using the a-priori prediction of variations of the external temperature. Additionally, feedback loops are designed for model linearization, trajectory stabilization, and compensation of changes in the ambient air temperature.
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