This paper focuses on analyzing the dynamic model and the stability of the hydraulic servo system, where the random impulsive disturbances are fully considered. To address these issues and achieve the tracking control of the hydraulic support pushing system subject to random impulsive disturbances, we present the mathematical model of the hydraulic support pushing system and define the error variables to complete the design of the controller. Based on the Lyapunov backstepping method, the designed controller can guarantee the error variables converge to zero exponentially and defend random impulsive disturbances effectively, which enhances the robustness of the hydraulic support pushing system. Finally, the validity of the proposed control method is verified by two simulation examples.

In this paper, a backstepping-based impulsive correction control is proposed to solve the position control problem of the electro-hydraulic servo system (EHSS), where the input-to-state stability (ISS) of the error system is illustrated. A simplified mathematical model of the EHSS is developed, and a backstepping technique is adopted to develop the novel controller. A relationship between the impulsive control gain and the impulsive sequence is established. Compared with the existing results, the proposed controller can significantly reduce the control consumption. Finally, a numerical simulation is conducted to show the effectiveness of the theoretical results.