2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59004This paper deals with fractional-order controllers. We outline mathematical description of fractional controllers and methods of their synthesis and application. Synthesis method is a modified root locus method for fractional-order systems and fractional-order controllers. In the next section we describe how to apply the fractional controller on control systems.LaTeX v.2e, 5 pages, 3 (eps) figuresOptimization and Control26A33, 93C05, 65D25 (Primary) 65R10, 93C65, 93C83 (Secondary)The fractional - order controllers: Methods for their synthesis and applicationtext