Synthesis of automatic control systems by a particle swarm optimization method using butterworth fractional standard forms

The approach to the synthesis of fractional controllers for automatic control systems circuits by a particle swarm optimization method has been proposed. Novelty of this approach lies in the idea that one is supposed to choose the desired quality of the transition process by the parameters of one of the standard fractional Butterworth forms. The paper considers two variants of the controller parameters synthesis by a particle swarm optimization: using the transition function of desired standard fractional form; using the characteristic points of transition function of desired standard fractional form.