Trajectory tracking control of the hydraulic servo system subject to random impulsive disturbances

Mingzhong Li; Yuhao Qi; Wei Wang; Yongming Li; Zhen Fu; Qing Liu; Shuai Liu; Mingzhong Li; Yuhao Qi; Wei Wang; Yongming Li; Zhen Fu; Qing Liu; Shuai Liu

doi:10.3934/math.2026588

AIMS Mathematics

2026, Volume 11, Issue 5: 14323-14340. doi: 10.3934/math.2026588

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Research article

Trajectory tracking control of the hydraulic servo system subject to random impulsive disturbances

1.
Beijing Tianma Intelligent Control Technology Co., Ltd., Beijing 101399, China
2.
Shandong Energy Group Co., Ltd., Jinan 250101, China

Received: 09 March 2026 Revised: 28 April 2026 Accepted: 08 May 2026 Published: 20 May 2026
MSC : Primary: 93DXX; Secondary: 93C05, 93D15, 93D23

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.
- hydraulic servo system,
- random impulsive disturbances,
- trajectory tracking control,
- Lyapunov backstepping method,
- exponential stability
Citation: Mingzhong Li, Yuhao Qi, Wei Wang, Yongming Li, Zhen Fu, Qing Liu, Shuai Liu. Trajectory tracking control of the hydraulic servo system subject to random impulsive disturbances[J]. AIMS Mathematics, 2026, 11(5): 14323-14340. doi: 10.3934/math.2026588

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Abstract

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.

References

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