2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59474This paper deals with fractional-order controlled systems and fractional-order controllers in the discrete domain. The mathematical description by the fractional difference equations and properties of these systems are presented. A practical example for modelling the fractional-order control loop is shown and obtained results are discussed in conclusion.LaTeX v.2.09, 4 pages, 1 figureOptimization and Control26A33, 93C55 (Primary) 65D25, 93C05 (Secondary)text