Real-Time Temperature Control of Thin Plates

Abstract

Abstract -In this paper is investigated the control of the temperature on one side of the plate from the opposite side. To solve this problem, Laplace transform is used to obtain the quadrupole model of the direct heat equation and the analytical solution for the transfer function for the inverse problem. The resulting hyperbolic functions are approximated by Taylor expansions and the real-time open loop temperature control to a desired value is formulated. This approach is different from previous regularization methods of ill-posed problem and is suitable for real-time temperature control. Simulation results show the advantages and limitations of using inverse problem to control temperature of a plate