A REVIEW: FRACTIONAL ORDER PID (FOPID) CONTROLLER

Abstract

A fractional order PID (FOPID) controller is the advanced version of PID controller. It has five parameters K_p (proportional gain), K_d (derivative gain), k_i (integral gain)_, µ (derivative order), λ (integrator order). The factorial order controller gives better response than classical PID controller. Basically it is represented by fractional order calculus (FOC). Using different tuning methods or optimizing algorithm, we can calculate the value of the parameters of FOPID controller and adjust the performance of the controller. The parameters also permit us to design the controller as proportional controller, proportional-integration controller, proportional-derivative controller and classical order PID controller. We define the stability criteria for FOPID controller by the complex plane.