Methods for computing the time response of fractional‐order systems

Abstract

There is considerable interest in the study of fractional‐order systems but obtaining accurate time domain responses is a difficult problem. This is because all methods reported on to date use approximations for the fractional derivative both for analytical‐based computations and more relevantly in simulation studies. This means unlike in integer systems exact simulations are not available and thus for considering non‐linear problems and comparisons with measured data no exact solution reference exists. In this study, the authors provide a major breakthrough for this situation by developing methods which allow the exact computation of the time responses of fractional‐order systems.