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

Wei Li; Mingzhong Li; Jian Liu; Guofa Wang; Yuhao Qi; Wei Wang; Yongming Li; Shuai Liu; Wei Li; Mingzhong Li; Jian Liu; Guofa Wang; Yuhao Qi; Wei Wang; Yongming Li; Shuai Liu

doi:10.3934/math.20251357

AIMS Mathematics

2025, Volume 10, Issue 12: 30927-30941. doi: 10.3934/math.20251357

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Research article

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

1.
Shandong Energy Group Co., Ltd., Jinan 250014, China
2.
Beijing Tianma Intelligent Control Technology Co., Ltd., Beijing 101399, China
3.
China Coal Technology & Engineering Group Co., Ltd., Beijing 100028, China

Received: 07 November 2025 Revised: 19 December 2025 Accepted: 26 December 2025 Published: 31 December 2025
MSC : 35R12, 49N25

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.
- electro-hydraulic servo system,
- input-to-state stability,
- impulsive correction control,
- backstepping-based control,
- Lyapunov method
Citation: Wei Li, Mingzhong Li, Jian Liu, Guofa Wang, Yuhao Qi, Wei Wang, Yongming Li, Shuai Liu. Input-to-state stability of the electro-hydraulic servo system with a backstepping-based impulsive correction control[J]. AIMS Mathematics, 2025, 10(12): 30927-30941. doi: 10.3934/math.20251357

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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.

References

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