Real-Time Temperature Control of a One Dimensional Metal Plate

One Dimensional metal plate heat equation is solved using Laplace transform. The transfer function for both direct and inverse problem were obtained as function of integer power of s from Zero-Pole and Taylor expansions of the resulting hyperbolic functions. Two types of expansions were compared, Zero-Pole and Taylor, using the root locus plots of inverse problem for different number of terms. As a result of this comparison Zero-Pole expansion was chosen to control the surface temperature of a thin plate on one side using the temperature measurement on the other side, based on both open loop and closed loop control schemes.