Real time solution for inverse heat conduction problem in One-Dimensional plate utilizing Fuzzy-PID controller

This paper dealing with a novel algorithm based on features of Fuzzy-PID controllers to estimate heat flux on the inverse heat conduction problems. The main structure of Fuzzy-PID is a PID controller in which the proportionalو integrator and the derivative gains are obtained online by fuzzy system. The input of the algorithm is the measured temperatures within the model. In each time-step, the smart controller calculates the proper heat flux in order to adjust the measured temperature with desired input temperature. The model studied a flat plate with an insulated surface and an active level that affects the variable heat flux at the time. The variation of heat flux with time can be considered to be constant, step, and triangular. The measured temperatures are obtained at the active and inactive surface with numerical simulation. The effect of noise level at the measurement temperatures on the accuracy of the proposed method is investigated. The estimations and error analysis indicate that this algorithm is very successful in estimating the different forms of heat flux with different amounts of noise and the different thermocouple positions in the wall.