arXiv:2601.07009cs.RO2026-01

基于梁理论的滑模控制器实现柔顺腕部高精度运动控制

A Sliding Mode Controller Based on Timoshenko Beam Theory Developed for a Tendon-Driven Robotic Wrist

  • 用蒂莫西科梁模型精准建模腱驱动腕关节,指导力控设计
  • 仿真误差1.67e-2弧度,实验误差0.2弧度,3秒内稳定且稳态误差<0.1弧度
  • 适合需快速高精度控制的柔性机器人腕部系统研究与应用

灵巧机器人关节的研发对提升机器人操作能力至关重要。本文提出一种腱驱动机器人腕关节的设计与实现,并开发了一种高效滑模控制器(SMC)以实现精确运动控制。腕关节机构采用基于蒂莫西科梁理论的建模方法,准确捕捉其运动学与动力学特性,为控制器中的腱力计算提供依据。所提出的SMC具备快速动态响应和计算高效性,可在不同工况下实现精确轨迹跟踪。通过与现有控制器的对比分析验证了该控制器的有效性:仿真中均方根误差(RMSE)约为1.67e-2弧度,实验验证误差为0.2弧度;同时控制器实现小于3秒的调节时间,稳态误差低于1e-1弧度,仿真与实验结果一致。对比分析表明,该控制器在运动精度、快速收敛性和稳态精度方面均优于其他控制策略。本工作为腱驱动腕关节及其控制策略在机器人应用中的后续研究奠定了基础。

原文摘要 · Abstract (English)

Development of dexterous robotic joints is essential for advancing manipulation capabilities in robotic systems. This paper presents the design and implementation of a tendon-driven robotic wrist joint together with an efficient Sliding Mode Controller (SMC) for precise motion control. The wrist mechanism is modeled using a Timoshenko-based approach to accurately capture its kinematic and dynamic properties, which serve as the foundation for tendon force calculations within the controller. The proposed SMC is designed to deliver fast dynamic response and computational efficiency, enabling accurate trajectory tracking under varying operating conditions. The effectiveness of the controller is validated through comparative analyses with existing controllers for similar wrist mechanisms. The proposed SMC demonstrates superior performance in both simulation and experimental studies. The Root Mean Square Error (RMSE) in simulation is approximately 1.67e-2 radians, while experimental validation yields an error of 0.2 radians. Additionally, the controller achieves a settling time of less than 3 seconds and a steady-state error below 1e-1 radians, consistently observed across both simulation and experimental evaluations. Comparative analyses confirm that the developed SMC surpasses alternative control strategies in motion accuracy, rapid convergence, and steady-state precision. This work establishes a foundation for future exploration of tendon-driven wrist mechanisms and control strategies in robotic applications.

机器人腕部滑模控制腱驱动高精度控制

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