Barbosa, RamiroTenreiro Machado, J. A.Silva, Manuel2019-03-292019-03-292006-07http://hdl.handle.net/10400.22/13259This paper deals with the discretization of integrals and derivatives (i.e., differintegrals) of complex order. Several methods for the discretization of the operator s􀁊, where y = 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 complexorder 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.engFractional calculusFractional-order systemsComplex-order differintegralsConjugated-order differintegralsIIR filtersDiscretizationRational approximationsCFE methodFractional-order controlconference object