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A kinematic calibration method based on the product of exponentials formula for serial robot using position measurements

Published online by Cambridge University Press:  01 April 2014

Ruibo He ,
Xiwen Li ,
Tielin Shi ,
Bo Wu ,
Yingjun Zhao ,
Fenglin Han ,
Shunian Yang ,
Shuhong Huang  and
Shuzi Yang
Ruibo He
Affiliation:
School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, P.R. China School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, P.R. China
Xiwen Li
Affiliation:
School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, P.R. China
Tielin Shi*
Affiliation:
School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, P.R. China
Bo Wu
Affiliation:
School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, P.R. China
Yingjun Zhao
Affiliation:
School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, P.R. China
Fenglin Han
Affiliation:
College of Mechanical and Electrical Engineering, Central South University, Changsha, Hunan, P.R. China
Shunian Yang
Affiliation:
School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, P.R. China
Shuhong Huang
Affiliation:
School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, P.R. China
Shuzi Yang
Affiliation:
School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, P.R. China
*
*Corresponding author. E-mail: tlshi@mail.hust.edu.cn
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Summary

Based on product of exponentials (POE) formula, three explicit error models are given in this paper for kinematic calibration of serial robot through measuring its end-effector positions. To obtain these error models, the tool frame should be chosen as reference frame at first, and then each position–error-related segment in the error models using pose measurement should be selected. And during kinematic parameter identification, all the errors in joint twists are identifiable, and the initial transformation errors and the joint zero-position errors can be identified conditionally. Namely, the initial transformation errors are identifiable if they do not contain orientation errors. And the joint zero-position errors are identifiable when a robot only consists of prismatic joints and the coordinates of its joint twists are linearly independent.

The effectiveness of this calibration method has been validated by simulations and experiments. The results show that: (1) the identification algorithms are robust and practical. (2) The method of position measurement is superior to that of pose measurement.

Keywords

Calibration and identificationProduct of exponentials formulaError modelKinematic calibration
Type
Articles
Information
Robotica , Volume 33 , Issue 6 , July 2015 , pp. 1295 - 1313
Copyright
Copyright © Cambridge University Press 2014 

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