This paper investigates the input-to-state stability (ISS) of disturbed electrohydraulic servo systems (EHSSes) via a novel backstepping-based delayed impulsive correction control scheme, where the time delay in impulsive actions is fully considered and rigorously proven to facilitate system stabilization. First, a third-order nonlinear model of EHSS is established with explicit consideration of external disturbances. Then, a recursive backstepping method is developed to derive virtual control laws for the position velocity subsystem, rendering it ISS with respect to the acceleration error. Furthermore, by employing Lyapunov stability theory, impulsive delay inequalities, and ISS lemmas, sufficient conditions are derived to guarantee the ISS of the closed-loop error system, where the stabilizing contribution of delays involved in impulses is quantitatively analyzed within the established sufficient criteria. Finally, numerical simulations are conducted to validate that the proposed control strategy.

This paper studied the trajectory tracking performance of electrohydraulic position servo systems subject to impulsive disturbance via sliding mode control. Different from traditional sliding mode control, which in applied in continuous state space, our proposed sliding mode control could restrain the negative effect of impulsive disturbance. The proposed method is based on the linear matrix inequality method; some sufficient conditions were presented to ensure the reachability of the sliding surface and the stability of the resulting sliding mode dynamics, where a relationship between continuous dynamics, impulsive strength, and impulsive frequency was established. It showed that this relationship can fully estimate the effect of impulsive disturbance. Moreover, we provided the estimation of the reaching time, which was related to the impulse actions and initial state. Finally, the simulations demonstrated the validity of the obtained results.

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.