Heat transfer modeling and identification using fractional order state space models

Abstract

This paper deals with heat transfer modeling and identification, based on fractional order state space models. An output error method is developed to estimate the model parameters including the fractional order, using an iterative non-linear programming method based on a novel fractional multivariable sensitivity functions model. Numerical simulation data of the heat transfer problem are performed using finite differences, and the suggested method is applied to identify the thermal process. Four fractional models are tested in order to analyze their fitting ability to approximate the interface diffusion in the frequency domain.