Tuning of a Pix+iyD Fractional Complex Order Controller

This paper deals with Fractional Complex Order Controller FCOC tuning. The paper presents new structure of FCOC with the form PI
^x
+
^iy
D, in which x and y are the real and imaginary parts of the integral complex order, respectively. With the controller's five parameters, we can fulfil five design requirements. Design specifications are set to ensure robustness toward gain variations, noise on system output and disturbance. A tuning method for the Controller is presented to accomplish design requirements. The proposed design method is investigated with a Second Order Plus Time Delay resonant system. Frequency and time domain analysis are presented in this manuscript.