@article{Li2025, 
author = {Wei Li and Mingzhong Li and Jian Liu and Guofa Wang and Yuhao Qi and Wei Wang and Yongming Li and Shuai Liu},
title = {Input-to-state stability of the electro-hydraulic servo system with a backstepping-based impulsive correction control},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {12},
pages = {30927-30941},
keywords = {electro-hydraulic servo system, input-to-state stability, impulsive correction control, backstepping-based control, Lyapunov method},
url = {https://www.sciopen.com/article/10.3934/math.20251357},
doi = {10.3934/math.20251357},
abstract = {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.}
}