Design and Analysis of Proportional Integral Derivative Controller and it’s hybrids

Proportional Integral Derivative (PID) controller has been used in feedback mechanism since time immemorial. This work discusses about another hybrid of PID controller of the form PI
^x+i
yD
^a+ib
also termed as Complex Fractional order PID controller. This variant of PID controller has excess of tuning parameters, more than any of the PID and its other fractional order variant (also known as Fractional order PID controller). Henceforth, this research realizes CFOPID controller and synthesizes all the variants of PID controller's parameter utilizing Genetic Algorithm (starting from primitive Proportional controller to advanced CFOPID controller) by minimizing the weighted sum of error specifications. It additionally relates the responses of each of the controllers and concludes the superior variant of PID controller.