Sliding mode control for impulsive electrohydraulic position servo systems with external disturbances

Mingzhong Li; Zhen Fu; Shuai Liu; Jianbing Wang; Mingzhong Li; Zhen Fu; Shuai Liu; Jianbing Wang

doi:10.3934/era.2026120

Electronic Research Archive

2026, Volume 34, Issue 4: 2590-2606. doi: 10.3934/era.2026120

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Research article

Sliding mode control for impulsive electrohydraulic position servo systems with external disturbances

Beijing Tianma Intelligent Control Technology Co., Ltd., Beijing 101399, China

Received: 06 January 2026 Revised: 17 February 2026 Accepted: 12 March 2026 Published: 24 March 2026

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.
- electrohydraulic position servo system,
- impulsive disturbance,
- linear matrix inequality,
- reaching time,
- sliding mode control
Citation: Mingzhong Li, Zhen Fu, Shuai Liu, Jianbing Wang. Sliding mode control for impulsive electrohydraulic position servo systems with external disturbances[J]. Electronic Research Archive, 2026, 34(4): 2590-2606. doi: 10.3934/era.2026120

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Abstract

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.

References

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