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基于作业轨迹约束的机械臂多闭环标定方法
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国家自然科学基金面上项目(52175452);国家自然科学基金青年基金项目(52005046)


Calibration Method for Robot Arm Based on Multiple Closed Loops Constrained by Work Trajectory
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    摘要:

    为了解决机械臂标定方法成本高、效率低的问题,对低成本的机械臂实时标定方法进行研究。选择低成本的双目相机为测量设备,基于微分变换理论阐述连杆参数误差辨识模型的建立方法;以作业轨迹和靶标可视性作为约束条件,采用逆运动学算法生成测量构型库;在此基础上通过DETMAX优化算法挑选出合适的构型用于建立辨识模型,并提出一种矩阵平衡方法改善模型性态水平;与此同时,还采用K-means聚类算法将所选构型进行划分,以此作为多组中间姿态输入至控制系统生成若干条平滑的作业-标定轨迹;最后,仿真验证了新方法在不同强度测量噪声下的连杆参数误差辨识精度。结果表明:矩阵平衡法将辨识模型观测指数由10.6提升至6.2×104,同时将其条件数由1.2×103降低至37.8,显著改善了模型性态水平;良态辨识模型使得绝大部分连杆参数误差辨识结果不易受测量噪声影响;距离测量噪声标准差由0.1/3 mm提高至1/3 mm时,DH误差平均辨识偏差仅由1.1%增大至1.4%。因此新方法能够满足机械臂低成本、实时、高精度的标定要求。

    Abstract:

    In order to solve the problem of high cost and low efficiency of robot arm calibration, the low-cost and real-time calibration method was investigated. A low-cost binocular camera was selected as the measuring equipment, based on the differential transformation theory, the establishment method of link parameter error identification model was introduced. The measurement configuration pool was generated by inverse kinematics algorithm with the work trajectory and marker visibility as constraints. On this basis, the measurement configurations were optimized by DETMAX algorithm to establish the identification model, and a matrix balance method was also proposed to make the model better-conditioned. At the same time, K-means algorithm was used to cluster the selected configuration, which were used as multi-group intermediate configurations transferred to the control system to generate several smooth work-calibration trajectories. Finally, the identification accuracy of link parameter errors under measurement noise with different intensities was verified by simulation. The results show that the matrix balance method increases the observation index of the identification model from 10.6 to 6.2×104, and the condition number is decreased from 1.2×103 to 37.8, which improves the performance level of the model significantly. The well-conditioned model makes most of the DH error identification results insusceptible to the measurement noise.The standard deviation of measurement noise is increased from 0.1/3 mm to 1/3 mm, the average identification deviation of link parameter errors only increase from 1.1% to 1.4%. Therefore, the new method can meet the low-cost, real-time and high-precision calibration requirements of the robot arm.

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蒋周翔.基于作业轨迹约束的机械臂多闭环标定方法[J].机床与液压,2023,51(17):6-13.
JIANG Zhouxiang. Calibration Method for Robot Arm Based on Multiple Closed Loops Constrained by Work Trajectory[J]. Machine Tool & Hydraulics,2023,51(17):6-13

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  • 在线发布日期: 2023-09-27
  • 出版日期: 2023-09-15