Modeling of temperature of 2D surface using fractional order transfer functions

Abstract

The paper proposes fractional order (FO) transfer function models to describe a dynamics of temperature of a flat surface. Parameters of transfer functions are identified via minimization of the MSE cost function, describing the difference between step response of a model and real experimental system. The step responses of models have been described by analytical formulae. Experiments were done with the use of thermal camera. The good accuracy of both proposed transfer function models in the sense of the MSE cost function has been confirmed by the experimental results.