In this paper the temperature at one side of a plate is used to control in closed loop the temperature on the opposite side of the plate. 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 to facilitate the real-time closed loop temperature control formulation. Simulation results illustrate the advantages and permit to identify the limitations of using inverse problem to closed loop control temperature of a plate.

Additional Metadata
Keywords Closed loop control, Inverse problem, Plate temperature control, Quadrupole model
Conference 13th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2016
Citation
Necsulescu, D. (Dan), Jarrah, B. (Bilal), & Sasiadek, J. (2016). Closed - Loop control of plate temperature using inverse problem. In ICINCO 2016 - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics (pp. 421–425).