Input-to-state stability of the electro-hydraulic servo system with a backstepping-based impulsive correction control

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.