Discrete-time realization of fractional-order proportional integral controller for a class of fractional-order system

<p style='text-indent:20px;'>The approximation of the fractional-order controller (FOC) has already been recognized as a distinguished field research in literature system and control. In this paper, two-step design approach is presented to realize proportional integral (FOPI) for class plant model. The goals are based on some frequency domain specifications. first stage work focused developing pure continuous-time FOC, while second actually realizes FOPI discrete-time representation. fundamentally dissimilar with respect conventional approaches z -domain. process realizing delta operator involved generating function due its exclusive competency unify counterpart at low sampling time limit. well-known continued fraction expansion (CFE) method employed approximate delta-domain. Simulation outcomes exhibit that merges robustness overall also investigated delta-domain.</p>