The Numerical Analysis of the Elementary, Fractional Order, Interval Transfer Function

Abstract

In the paper the analysis of the impact of the interval uncertainty of parameters on the behaviour of the elementary Fractional Order (FO) transfer function is investigated. The fractional order and quasi time constant are defined as intervals describing deviation from nominal values. Such an analysis has not be considered yet. The proposed elementary, interval model can be applied in modeling of different, uncertain-parameters elements and physical phenomena. For the considered transfer function the methodology of its numerical analysis is proposed and illustrated by simulations. Results of numerical tests point that the best robustness of the model is achieved for relatively lower values of its parameters.