@misc{Djouambi_Abdelbaki_Optimal, author={Djouambi, Abdelbaki and Charef, Abdelfettah and Besançon, Alina Voda}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={This paper provides an optimal approximation of the fundamental linear fractional order transfer function using a distribution of the relaxation time function. Simple methods, useful in systems and control theories, which can be used to approximate the irrational transfer function of a class of fractional systems for a given frequency band by a rational function are presented.}, abstract={The optimal parameters of the approximated model are obtained by minimizing simultaneously the gain and the phase error between the irrational transfer function and its rational approximation. A simple analog circuit which can serve as a fundamental analog fractional system is obtained. Illustrative examples are presented to show the quality and usefulness of the approximation method.}, type={artykuł}, title={Optimal approximation, simulation and analog realization of the fundamental fractional order transfer function}, keywords={fractional systems, approximation, simulation and distribution of the relaxation times function}, }