绳牵引上肢并联康复机器人柔索误差逆向建模与分析

Inverse modeling and analysis of flexible cable error of cable-pulled upper limb parallel rehabilitation robot

  • 摘要: 针对柔索牵引上肢康复机器人在康复训练过程中柔索的形变误差导致机器人运动精度降低的问题,提出了一种基于形变本构方程的柔索误差逆向建模方法。首先,结合人体上肢生理结构和运动特性对康复机器人进行设计,并利用改进Denavit-Hartenberg(D-H)法建立机器人的空间等效模型。其次,综合考虑柔索形变、柔索与滑轮的摩擦以及柔索出绳点位置的基础上,结合力旋量法和逆向求解思想建立了沿着实际柔索矢量方向的机器人柔索牵引系统动力学模型,并对柔索的运动状态和张力进行分析。最后,通过仿真得到了康复训练轨迹下柔索形变误差,对比柔索的受力和长度变化趋势,验证了柔索误差逆向模型的正确性,该模型为柔索牵引康复机器人的控制和安全性分析提供基础,同时也为柔索牵引并联系统的误差分析提供思路。

     

    Abstract: To address the problem that the deformation error of the flexible cable of the flexible cable traction upper limb rehabilitation robot leads to the reduction of the robot's motion accuracy during the rehabilitation training process, an inverse modeling method based on the deformation intrinsic equation of the flexible cable error is proposed. Firstly, the mechanism of the rehabilitation robot is designed by combining the physiological structure and motion characteristics of the shoulder, elbow and wrist of the human upper limb, and the drive system adopts the parallel structure of flexible cable traction. The spatial equivalent model of the arm exoskeleton is established in MATLAB using the improved Denavit-Hartenberg (D-H) method relative to the human body. Secondly, based on the simultaneous consideration of the deformation of the flexible cable, the friction between the flexible cable and the pulley, and the position of the cable exit point, and combining with the force rotation method, the deformation error generated by the flexible cable in the actual traction direction is calculated inversely on the basis of the traction state of the flexible cable, so as to get the dynamic model of the cable traction system shape under the desired trajectory. The real-time dynamics model of the traction system is obtained by judging the state of the flexible cable, and the real-time tension of the flexible cable is obtained by combining the generalized inverse method. Finally, by simulating the deformation error of the flexible cable under the rehabilitation training trajectory, the change trend of the flexible cable is obtained and compared with the force and length of the flexible cable, which verifies the correctness of the inverse model of the flexible cable error, and provides the basis for the control and safety analysis of the flexible cable traction rehabilitation robot, as well as the ideas for the error analysis of the flexible cable traction parallel system.

     

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