The electromagnetic gas volume control actuator of reciprocating compressor is a device that using electromagnetic driving force to control the opening and closing of the inlet valve.In order to solve the problems of ordinary pulse voltage control method,such as the contradiction between high frequency fast response and low seating speed,poor anti-disturbance performance and so on,an adaptive integral sliding mode control based on backstepping method was proposed.Firstly,a nonlinear model that considering disturbance was established for the electromagnetic gas volume control actuator.Secondly,the high-order system of electromagnetic gas volume control actuator was decomposed into two serial low-order subsystems by using the backstepping design idea.On this basis,a composite control method was designed,which combined the characteristics of sliding mode control,adaptive control and integral control.Finally,through the AMESim-Simulink joint simulation platform,the control method was analyzed and compared from different aspects with the traditional PID control method and the sliding mode control method.The experimental results show that the average tracking errors of the electromagnetic gas volume control actuator in the ejection and withdrawal processes are respectively 9.6%and 10.8%,the average seating speeds are respectively 0.32 mm/s and 0.98 mm/s.The maximum displacement offset caused by the external disturbance is 1.3%.It shows that the adaptive integral backstepping sliding mode control method can ensure the fast convergence of the tracking error,improve the displacement tracking accuracy,effectively reduce the seating impact of the electromagnetic gas volume control actuator,and have strong robustness to external disturbances.