In order to improve the response speed of the hydraulic actuator control system and then reduce the motion displacement output error of the actuator,the super spiral sliding mode controller was adopted and verified through simulation.The diagram of hydraulic actuator for regulating reflux energy was created,the mathematical model of hydraulic flow of differential valve was defined,and the dynamic equations of hydraulic actuator were derived.Aiming at the improvement of the traditional sliding mode controller,a super spiral sliding mode controller was proposed.The process of the super spiral sliding mode control of the hydraulic actuator was given,and the stability of the control system was analyzed.In order to further verify the output accuracy of the super screw sliding mode controller,MATLAB software was used to simulate the motion displacement tracking of the hydraulic actuator,and compared with the traditional sliding mode controller.The results show that by using the traditional sliding mode controller,in the no-load state,the deviation between the motion displacement of the hydraulic actuator and the expected value is small,but in the load state,the deviation is large;when the super screw sliding mode controller is used,the deviation between the motion displacement and the expected value of the hydraulic actuator is small,and the response speed of the actuator is fast.The super spiral slide mode controller can be used to effectively reduce the vibration amplitude of the sliding mode controller and improve the motion accuracy of the hydraulic actuator.