杜志江, 肖永强, 董为. 含有摩擦间隙迟滞的机械臂关节建模方法[J]. 机器人, 2011, 33(5): 539-545.
引用本文: 杜志江, 肖永强, 董为. 含有摩擦间隙迟滞的机械臂关节建模方法[J]. 机器人, 2011, 33(5): 539-545.
DU Zhijiang, XIAO Yongqiang, DONG Wei. Modeling of Robot Joints with Friction,Backlash and Hysteresis[J]. ROBOT, 2011, 33(5): 539-545.
Citation: DU Zhijiang, XIAO Yongqiang, DONG Wei. Modeling of Robot Joints with Friction,Backlash and Hysteresis[J]. ROBOT, 2011, 33(5): 539-545.

含有摩擦间隙迟滞的机械臂关节建模方法

Modeling of Robot Joints with Friction,Backlash and Hysteresis

  • 摘要: 为了提高机器人关节建模精度,提出了一种同时考虑摩擦、间隙和迟滞的综合建模方法.将关节分为高速轴和低速轴两部分,采用GMS(generalized Maxwell-slip)方法构建了减速器高速轴和低速轴的摩擦模型;采用Preisach模型来描述两部分迟滞模型中的线性特性,采用多项式方法来描述迟滞特性中的非线性刚度以满足实际减速器非线性的情况;采用输入输出轴速度差作为状态变量,提出了一种简单有效的间隙建模方法,最后构建了整个关节的综合模型.对所建立的关节模型在Matlab/Simulink中进行了建模及仿真.结果表明,该模型可以有效仿真出实际关节的各种非线性特性,从而能更加精确描述模型特性,提高了关节建模的精度.

     

    Abstract: In order to improve the accuracy of robot joints model,a modeling approach is proposed,in which the friction, backlash and hysteresis characteristics are included in an integrated model.The proposed model is built upon dividing a robot joint into high-speed and low-speed axes respectively.The friction model of high-/low-speed axes are set up based on the GMS(generalized Maxwell-slip) model.Preisach model is utilized to describe the linear behaviors of the high-/low-speed axes of the hysteresis model,and the polynomial method is used to describe nonlinear stiffness in the hysteresis behavior to meet the actual conditions of the reducers' nonlinearity.A simple and effective method is developed to model the backlash behavior in which the speed difference of input and output axes is regarded as the state variable.Finally,an integrated robot joint model is established and simulated in the environment of Matlab/Simulink.Simulation results show that the proposed approach reflects the nonlinear features of robot joints effectively,and thereby can be used in robot joints modeling for describing characteristics and improving accuracy.

     

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