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UKF算法在七自由度机械臂逆运动学求解的应用
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河南省教育厅科学研究面上项目(JJKH20200622)


Application of UKF Algorithm in Solving Inverse Kinematics of 7-DOF Manipulator
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    摘要:

    针对七自由度冗余度机械臂逆运动学求解问题,提出一种求解逆运动学的新方法。采用闭环模型建模的多维序列处理方法,将无迹卡尔曼滤波算法作为递推算法对机械臂实时状态进行估计,输入向量由前向模型的输入序列和反馈模型中的测量输出序列组成,建立具有闭环框架的七自由度冗余机械手逆运动学的状态空间模型,降低了计算的复杂度。与传统雅可比矩阵的伪逆计算方法对比分析,结果表明:所提方法具有较高的位置误差精度和计算效率,在末端执行器的轨迹中加入噪声,显示所提方法具有较好的收敛性能,通过实验表明该方法具有一定的通用性和可靠性。

    Abstract:

    A new method for solving inverse kinematics of 7-DOF redundant manipulator was proposed.The multi-dimensional sequence processing method of closed-loop model modeling was adopted.Unscented Kalman filter algorithm was used as a recursive algorithm to estimate the real-time state of manipulator.The input vector was composed of the input sequence of forward model and the measurement output sequence of feedback model.The state space model of 7-DOF redundant manipulator inverse kinematics with closed-loop frame was established and the the computational complexity was reduced.Compared with the traditional Jacobian matrix pseudo inverse calculation method,it shows that the proposed method has higher position error accuracy and calculation efficiency.At the same time,noise was added into the trajectory of the end effector,which shows that the proposed method has better convergence performance.The experiment shows that the method has certain universality and reliability.

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黄宗建,方涛. UKF算法在七自由度机械臂逆运动学求解的应用[J].机床与液压,2022,50(23):44-49.
HUANG Zongjian, FANG Tao. Application of UKF Algorithm in Solving Inverse Kinematics of 7-DOF Manipulator[J]. Machine Tool & Hydraulics,2022,50(23):44-49

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  • 在线发布日期: 2023-01-17
  • 出版日期: 2022-12-15