柔性并联机器人非线性摩擦动力学建模与速度规划
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国家自然科学基金项目(51275353、51275209)、天津市应用基础与前沿技术研究计划重点项目(14JCZDJC39100)、天津市高等学校科技发展基金计划项目(20140401)和天津市智能制造重大科技专项(15ZXZNGX00040、15ZXZNGX00270)


Nonlinear Friction Dynamic Modeling and Velocity Planning of Flexible Parallel Robot
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    摘要:

    为了实现柔性并联机器人的高速、高精度控制,基于Hensens & Kostic理论,计入关节非线性摩擦力建立了Lagrange动力学误差模型,测试了补偿前后机器人的单点定位误差。基于机构最大速度和加速度约束条件,分析了S型和常用T型2种速度规划算法下机器人的位置误差和速度性能。仿真结果表明:T型速度规划位置和速度跟踪最大误差为78.1μm和11.4mm/s,而S型速度规划分别是37.8μm和3.72mm/s,且2个终止点定位误差仅为8.1μm和8.9μm;速度性能方面,S型速度峰值误差变化最大仅为1.74mm/s,远小于T型速度规划的6.88mm/s。可见,在高速下S型速度规划算法保证了较高的位置跟踪精度尤其是定位精度,速度尖峰突变小且整体曲线相对平缓,大幅提高了速度跟踪精度和运动平稳性,更易于实现机器人高速、高精度平稳控制。实验测试了机器人连续运动下定点位置误差,仿真所得位置误差小于实测数据,存在100μm左右的误差,但所得结论一致,验证了仿真分析的有效性。

    Abstract:

    In order to realize control of robot in high speed and accuracy, Lagrange method was applied to deduce dynamic model and nonlinear friction force dynamic compensation model based on Hensens & Kostic theory. The single point positioning error was analyzed before and after compensation. A kind of S type velocity planning method was designed based on the constrain model of maximum speed and acceleration. Performance test in real time was implanted between T and S types velocity control algorithm about position and speed tracing. The experiment data indicated that the maximum position tracking error and speed tracking error of T type velocity planning were increased to 78.1μm and 11.4mm/s. But those of S type velocity planning were only 37.8μm and 3.72mm/s. Location accuracy of S type planning at two termination points reached 8.1μm and 8.9μm. The maximum speed difference of S type planning was 1.74mm/s which was much smaller than 6.88mm/s of T type velocity planning. High precision of position control especially termination-point location was ensured by S type velocity planning algorithm. Its peak velocity mutation was much smaller and velocity curve was also smoother compared with that of T type velocity control algorithm. It was demonstrated that speed tracing performance and stability of motion were improved greatly. The contradiction of T type velocity planning existed between high speed movement and high precision control was effectively relieved. So S type velocity planning was much easier to realize the control of robot in high speed and accuracy. In order to verify the correctness of the simulation analysis conclusions,position error of robot was tested by laser interferometer under continuous motion at different speeds. Simulation data was less than experiment data. The data error was about 100μm between simulation and actual measurement. But the conclusions were consistent with the experiment. The validity of the simulation analysis method was verified.

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赵磊,范梦然,赵新华,周海波,栾倩倩.柔性并联机器人非线性摩擦动力学建模与速度规划[J].农业机械学报,2017,48(5):390-396.

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  • 收稿日期:2016-09-08
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  • 在线发布日期: 2017-05-10
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