Article ID Journal Published Year Pages File Type
722592 IFAC Proceedings Volumes 2006 6 Pages PDF
Abstract

This paper deals with the discretization of integrals and derivatives (i.e., differintegrals) of complex order. Several methods for the discretization of the operator sγ, where γ = u+jv is a complex value, are proposed. The concept of conjugated-order differintegral is also presented. The conjugated-order operator allows the use of complex-order differintegrals while still resulting in real time responses and real transfer functions. The performance of the resulting approximations is evaluated both in the time and frequency domains.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics