A New Design Method for Fractional PI λ D µ Controller

Abstract

Our objective is to apply the fractional PI λ D µ controller to enhance the system control performances. Unlike Proportional Integral Derivative (PID) controller, there is no systematic and yet rigor design or tuning method existing for this PI λ D µ controller. In this paper a method to design PI λ D µ controller is presented. The basic ideas of the tuning method are based, in the first place, on the conventional tuning methods for setting the parameters of the fractional PI λ D µ controller for λ=1 and µ=1 which means setting the parameters of the conventional PID controller, and on the minimum Integral Squared Error (ISE) criterion for setting the fractional integration action order λ and the fractional differentiation action order µ. The simulation results show the control quality enhancement using this proposed PI λ D µ controller.