Modelling and identification of diffusive systems using fractional models

Abstract

Heat transfer problems obey to diffusion phenomenon. They can be modelled with the help of fractional systems. The simulation of these particular systems is based on a fractional integrator where the non-integer behaviour acts only on a limited spectral band. Starting from frequential considerations, a more general approximation of the fractional system is proposed in this communication. It makes it possible to define a state-space model for simulation of transients, and to carry out an output-error (OE) technique in order to estimate the parameters of the model. A real application on a thermal system is presented to illustrate the advantages of the proposed model. © 2007 Springer.