吉林大学学报(理学版) ›› 2026, Vol. 64 ›› Issue (1): 113-0122.

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考虑输入饱和的五自由度并联机构离散滑模控制

李秉霖, 吴孟丽   

  1. 中国民航大学 航空工程学院, 天津 300300
  • 收稿日期:2024-09-11 出版日期:2026-01-26 发布日期:2026-01-26
  • 通讯作者: 吴孟丽 E-mail:wuml2004@qq.com

Discrete Sliding Mode Control of 5-DOF Parallel Mechanism Considering Input Saturation

LI Binglin, WU Mengli   

  1. School of Aerospace Engineering, Civil Aviation University of China, Tianjin 300300, China
  • Received:2024-09-11 Online:2026-01-26 Published:2026-01-26

摘要: 针对五自由度并联机构轨迹跟踪控制中由于模型不确定性、 外界干扰以及输入饱和导致的跟踪精度较低的问题, 提出一种考虑输入饱和的时变扰动补偿离散积分滑模控制算法. 首先, 针对输入饱和问题, 同时考虑输入赋值与输入变化率受限的情况, 设计离散饱和补偿辅助系统以消除输入饱和特性. 其次, 设计时变扰动补偿离散积分滑模控制器, 实现对集总扰动的实时补偿, 从而在抑制抖振的同时降低系统稳态误差. 最后, 通过仿真实验, 将考虑与不考虑输入饱和情况下的控制方法及扰动补偿离散滑模控制算法进行对比. 实验结果表明, 该算法在控制精度与饱和约束方面均优于对比算法, 且能有效实现考虑集总扰动与输入饱和的并联机构高精度轨迹跟踪控制, 具有较高的工程应用价值.

关键词: 并联机构, 输入饱和, 抗饱和辅助系统, 离散积分滑模控制, 干扰补偿趋近率

Abstract: Aiming at the problem of low tracking accuracy in trajectory tracking control of 5-degree of freedom (DOF) parallel mechanisms caused by model uncertainties, external disturbances, and input saturation, we proposed a discrete integral sliding mode control algorithm with time-varying disturbance compensation considering input saturation. Firstly, to address the problem of input saturation,  while considering the limitations of  input assignment and input rate of change, we designed a discrete saturation compensation auxiliary system to  eliminate the input saturation characteristics. Secondly, we designed a time-varying disturbance compensation discrete integral sliding mode controller to  achieve real-time compensation for lumped disturbances, thereby reducing system steady-state error while suppressing chattering. Finally, through simulation experiments, a comparative analysis was conducted between the proposed method and the disturbance compensation discrete sliding mode control algorithm, 
considering both with and without input saturation. The experimental results show that the proposed algorithm outperforms the comparative algorithms in terms of control accuracy and saturation constraints, and can effectively achieve high-precision trajectory tracking control of parallel mechanisms considering both lumped disturbances and input saturation, with high engineering application value.

Key words: parallel mechanism, input saturation, anti-saturation auxiliary system, discrete integral sliding mode control, disturbance compensation approaching rate

中图分类号: 

  • TP273