北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2017, Vol. 40 ›› Issue (1): 18-22.doi: 10.13190/j.jbupt.2017.01.002

• 论文 • 上一篇    下一篇

机器人基坐标系精确标定的对偶四元数法

王刚, 刘晓平, 高远, 韩松   

  1. 北京邮电大学 自动化学院, 北京 100876
  • 收稿日期:2016-08-30 出版日期:2017-02-28 发布日期:2017-03-14
  • 作者简介:王刚(1981-),男,讲师,博士,E-mail:wg58977@bupt.edu.cn.
  • 基金资助:
    北京科委重大科技专项项目(141100003514003)

A Dual Quaternion Method for Precise Calibration of Robot's Base Frame

WANG Gang, LIU Xiao-ping, GAO Yuan, HAN Song   

  1. School of Automation, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • Received:2016-08-30 Online:2017-02-28 Published:2017-03-14

摘要: 针对离线编程系统中机器人在世界坐标系下的位姿描述问题,提出一种利用对偶四元数精确标定机器人基坐标系的方法。首先在利用指数积公式建立机器人正运动学模型的基础上,推导了基于单位对偶四元数表示法的机器人基坐标系标定模型,该模型将世界坐标系与机器人基坐标系之间坐标转换的旋转与平移过程进行统一描述;其次,以对偶四元数的几何性质为约束条件,建立最小方差目标方程,引入拉格朗日乘子法求解最优的位姿变换矩阵;最后,对6自由度串联机器人进行了标定实验。实验结果表明,该标定方法可以有效解决工业应用环境中机器人的基坐标系标定问题,同时也为机器人手眼标定、多机器人协作基坐标系标定问题提供了参考依据。

关键词: 机器人基坐标系, 世界坐标系, 标定, 对偶四元数

Abstract: In order to describe the robot poses in the world coordinate system of the off-line programming system, a precise calibration method of robot's base frame using dual quaternion was proposed. Firstly, on the basis of the robot kinematics model established by the product-of-exponential formula, a calibration model for robot's base frame using dual quaternion was derived, which obtains the unified description of robot poses between the world coordinate system and the robot's base frame. Then, with the dual quaternion constraints, the Lagrangian multiplier method was employed to obtain the optimum pose in solving a minimum-variance problem. Finally, calibration experiment on a serial 6-DOF industrial robot was performed, which indicated that the method is effective and easier to get solutions for robot's base frame calibration in industry environment. The calibration algorithm can not only provide theoretical reference but also provide useful advices to robot hand-eye system calibration and multi-robot coordination.

Key words: robot base frame, world coordinate system, calibration, dual quaternion

中图分类号: