Abstract

The nonlinear characteristics of the pneumatic servo system are the main factors limiting its control accuracy. A new mathematical model of the nonlinear system of the valve control cylinder is proposed in order to improve the control accuracy of the pneumatic servo system. Firstly, the mass flow equation of the gas flowing through each port is established by analyzing the physical structure of the proportional directional control valve. Then, the dynamic equation of the system is set up by applying the Stribeck friction model for the friction model of the valve control cylinder and building a pneumatic circuit experiment to identify the friction model parameters. Finally, the correctness of the mathematical model is verified by the inflation and deflation experiment of the fixed capacitive chamber and the servo controls experiment based on PID position. The Simulink simulation of the mathematical model better reflects the characteristics of the pneumatic position servo system.

Highlights

  • Pneumatic technology, known as pneumatic transmission technology, is a technology that uses an air compressor as the power source to realize the automatic production of various industries

  • In order to accurately establish the mathematical model of the nonlinear position servo system of the magnetically coupled rodless cylinder and consider the influence of the gap between the valve core and the sleeve, the mass flow rate of each valve gas body flowing through the proportional directional control valve is obtained

  • Tmhernotuogfhththeefixpeodsictaiovnitiyn,ganexdptehreimcoernret catnndesstroafjetchteormyattrhaecmkiantgicaelxmpeordimeleonftthbeasfiexdedoncaPvIiDty control, the results show that the trajectory of the simulation curve and the experimental curve is basically consistent, which verifies the correctness of the mathematical model of the position servo control system

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Summary

Introduction

Known as pneumatic transmission technology, is a technology that uses an air compressor as the power source to realize the automatic production of various industries. Scavanda [12] extended the mathematical model of the linearized pneumatic servo system to multiple operating positions by applying the state-space method while ignoring nonlinear factors such as the friction of the cylinder during motion. Bai [14] of Taiyuan University of Science and Technology established a position servo system for an oscillating cylinder through the study of the nonlinear characteristics of the proportional valve, the nonlinear characteristics of friction and the limit of the actuator at the end. In order to accurately establish the mathematical model of the nonlinear position servo system of the magnetically coupled rodless cylinder and consider the influence of the gap between the valve core and the sleeve, the mass flow rate of each valve gas body flowing through the proportional directional control valve is obtained.

Experimental Set-Up
Establishment of the Mass Flow Equation for Proportional Directional Control
Pe 3 Pe
Ps 1 Ps dh
Establishment of the Mass Flow Equation for Gases at Gaps
Measurement of Flow Coefficient of Proportional Directional Valve
Establishment of Kinetic Equations
Conclusions
Full Text
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