Control design of the hydraulic support pushing system based on saturation

Yuan Zhang; Wentao Ju; Qing Liu; Leijie Wei; Chunlei Yin; Xuejun Feng; Yaliang Yao; Kai Chen; Yuan Zhang; Wentao Ju; Qing Liu; Leijie Wei; Chunlei Yin; Xuejun Feng; Yaliang Yao; Kai Chen

doi:10.3934/era.2026016

Electronic Research Archive

2026, Volume 34, Issue 1: 336-350. doi: 10.3934/era.2026016

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Research article

Control design of the hydraulic support pushing system based on saturation

1.
Shanxi Huaning Coking Coal Co., Ltd., Linfen 042102, China
2.
Beijing Tianma Intelligent Control Technology Co., Ltd., Beijing 101399, China

Received: 07 November 2025 Revised: 19 December 2025 Accepted: 06 January 2026 Published: 09 January 2026

This paper focused on the control design problem regarding the hydraulic support pushing system, with full consideration of the saturation structure of the control input. With the help of the backstepping technique, some sufficient conditions were established to ensure local exponential stability of the error system between the hydraulic support pushing system and the reference system, simultaneously providing an estimation of the attractive domain. In addition, a potential relationship between the saturation structure and attractive domain was established, which was crucial for achieving local exponential stability in the framework of saturation limitations. It showed that the size of the attractive domain was not only determined by the structure of control input but was also affected by the saturation structure. Finally, some simulations were presented to illustrate the effectiveness of the proposed results.
- hydraulic support pushing system,
- saturation,
- backstepping technique,
- attractive domain,
- local exponential stability
Citation: Yuan Zhang, Wentao Ju, Qing Liu, Leijie Wei, Chunlei Yin, Xuejun Feng, Yaliang Yao, Kai Chen. Control design of the hydraulic support pushing system based on saturation[J]. Electronic Research Archive, 2026, 34(1): 336-350. doi: 10.3934/era.2026016

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Abstract

This paper focused on the control design problem regarding the hydraulic support pushing system, with full consideration of the saturation structure of the control input. With the help of the backstepping technique, some sufficient conditions were established to ensure local exponential stability of the error system between the hydraulic support pushing system and the reference system, simultaneously providing an estimation of the attractive domain. In addition, a potential relationship between the saturation structure and attractive domain was established, which was crucial for achieving local exponential stability in the framework of saturation limitations. It showed that the size of the attractive domain was not only determined by the structure of control input but was also affected by the saturation structure. Finally, some simulations were presented to illustrate the effectiveness of the proposed results.

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