Research On The Fractional Order Control Method Of Hydraulic Position Servo System

In this paper, we use Fractional PID control method to achieve control of the system simulation, and we chose hydraulic position servo system as a plant. Based on the theory of fractional calculus and fractional order PID controller, we research the method of amplitude margin and phase margin to design fractional order PID controller. Through Fmincon-function in MATLAB Optimization Toolbox, we will solve the five parameters of the fractional order PID controller. In the first-order mathematical model of the hydraulic position servo system, the conclusion is when changes the system parameter, fractional PID control system has good robustness. Based on the hydraulic position servo system, we use three controllers to correct control system, integer order PID controller, fuzzy adaptive PID controller and fractional PID controller. Comparative analysis through MATLAB simulation of the step response, to a certain extent, integer order PID control and fuzzy adaptive PID control can correct the system. But fractional PID control method of correcting the system will get better control effect, and the system dynamic response characteristics compared with the former two have been significantly improved...