"Commande d’ordre fractionnaire basée sur la “fractionalisation” des correcteurs classiques PID"

Abstract

"The PID controller is the most common technique used in the stabilization of industrial processes for decades. The idea of using fractional calculus in control loops systems dating from the early 60s. Recently, correcting fractional order has been proposed. The interest for this type of correction is justified by greater flexibility in the design of the control they have one or more parameters and more. These parameters can be used to meet additional performance in the design of servo systems. In this paper, a design method of fractional order correction using a new technique called ""fractionalization"" of conventional PID controllers based on the theory of operators and fractional order systems has been proposed. This method uses a conventional servo system designed with a PID controller using any technical adjustment of PID controller, and then the classic PID controller is transformed to a fractional order correction by a technique that consists of raising the transfer function corrector classic PID real power. Illustrative examples are presented to demonstrate the effectiveness of the proposed control method. The application of this new control method to benchmark process was also made to demonstrate the performance improvement compared to those obtained by the conventional PID controllers corresponding to the corrective order fractional made servo systems. Keywords: Operator of fractional order, fractional order system, Correcteur PID,"