Novel direct optimal and indirect method for discretization of linear fractional systems

Abstract

This paper addresses the problem of discretization of fractional differintegrators and fractional systems in general. Two new discretization schemes are proposed-optimal direct method, and computationally inexpensive indirect method. The proposed methods are highly flexible and suitable for obtaining both general purpose and specialized, application-specific approximations. Both proposed methods outperform recently proposed approximations, as it is shown in several illustrative examples. © 2011 Springer-Verlag.