Modeling of thermal processes in microcontroller system by fractional order, discrete, hybrid transfer function using FOBD approximation.

The paper is devoted to the problem of modeling of thermal processes in microcontroller evaluation board. The proposed model describes temperature of critical places in the working microcontroller system. The temperature is measured with the use of the industrial thermal camera. The proposed model is the discrete, hybrid transfer function, containing both Integer Order (IO) and Fractional Order (FO) parts. The FO part is described using Fractional Order Backward Difference (FOBD) method. The step response of the proposed transfer function are calculated numerically using MATLAB. Results of experiments show that the accuracy of the proposed model in the sense of Mean Square Error (MSE) cost function is satisfying. Such a model has not be known yet. It can be applied e.g. to predict of overheating of microcotroller systems.