Abstract: The existing algorithm of the high precision pneumatic position servo control is rather complicated, and it is difficult to apply in engineering. To this problem, taking grey relational analysis theory as its foundation, a new method of grey relational compensation control is proposed, which is based on traditional control algorithm. This method combines the grey relational control with the traditional control, adding a grey relational compensation controller in the traditional control loop. Based on the geometrical similarity and the distance between the control system’s actual output and the desired output data sequences, the weighted grey relational degree between them is calculated by this compensation controller, the grey relational compensation control law is designed, and the control output of traditional controller is dynamically compensated. Taking DGPL type rod-less cylinder as controlled device, the simulations and experimental studies on pneumatic position servo controlling are carried out, the control accuracy of grey relational compensation control method and that of traditional control methods (PID control, fuzzy control) are compared. Simulation and experimental results show that: with the same controller parameters, the control effect of grey relational compensation control is obviously superior to that of conventional controller, and after the parameters of compensating controller being adjusted, the pneumatic position servo system can be precisely controlled.

Key words: Simulation, Compensation control, Control accuracy, Experiment, Pneumatic position servo system, Weighted grey relational analysis