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An improved kinematic calibration method for serial manipulators based on POE formula

Published online by Cambridge University Press:  16 May 2018

Chenguang Chang ,
Jinguo Liu ,
Zhiyu Ni  and
Ruolong Qi
Chenguang Chang
Affiliation:
State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang, P.R. China School of Mechanical Engineering and Automation, Northeastern University, Shenyang, P.R. China Key Laboratory of Spectral Imaging Technology of Chinese Academy of Sciences, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an, P.R. China
Jinguo Liu*
Affiliation:
State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang, P.R. China
Zhiyu Ni
Affiliation:
State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang, P.R. China
Ruolong Qi
Affiliation:
State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang, P.R. China
*
*Corresponding author. E-mail: [email protected]
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Summary

Existing measurement equipments easily determine position with high precision. However, they evaluate orientation with low precision. It is necessary to minimize the effect of measurement error on identification accuracy. In this study, a method for kinematic calibration based on the product of exponentials (POE) is presented to improve the absolute positioning accuracy of a sliding manipulator. An error model with uniform and generic modeling rules is established in which the tool frame is selected as the reference frame. Furthermore, the redundant parameters of the error model are removed. Subsequently, the actual kinematic parameters are identified by using the least square method. Finally, the process of the improved method is discussed. Kinematic calibration simulations of a sliding manipulator are implemented. The results indicate that the proposed method significantly improves the precision of the sliding manipulator. The improved POE kinematic calibration method offers convenience, efficiency, and high precision. The proposed method can be applied to all types of serial robots with n-DOF

Keywords

Kinematic calibrationIdentificationProduct of exponentials (POE)Measurement error
Type
Articles
Information
Robotica , Volume 36 , Issue 8 , August 2018 , pp. 1244 - 1262
Copyright
Copyright © Cambridge University Press 2018 

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References

1. Fatikow, S., Seyfried, J., Fahlbusch, S., Buerkle, A. and Schmoeckel, F., “A flexible microrobot-based microassembly station,” J. Intell. Robot. Syst. 27 (1), 135–169 (2000).CrossRefGoogle Scholar
2. Ouyang, P. R., Zhang, W. J., Gupta, M. M. and Zhao, W., “Overview of the development of a visual based automated bio-micromanipulation system,” Mechatronics 17 (10), 578–588 (2007).Google Scholar
3. Xu, Q., Li, Y. M. and Xi, N., “Design, fabrication, and visual servo control of an XY parallel micromanipulator with piezo-actuation,” IEEE Trans. Autom. Sci. Eng. 6 (4), 710–719 (2009).Google Scholar
4. Shiakolas, P. S., Conrad, K. L. and Yih, T. C., “On the accuracy, repeatability, and degree of influence of kinematics parameters for industrial robots,” Int. J. Modelling Simul. 22 (4), 245–254 (2002).CrossRefGoogle Scholar
5. Judd, R. P. and Knasinski, A. B., “A technique to calibrate industrial robots with experimental verification,” IEEE Trans. Robot. Autom. 6 (1), 20–30 (1987).Google Scholar
6. Roth, Z. S., Mooring, B. W. and Ravani, B., “An overview of robot calibration,” IEEE J. Robot. & Autom. 3 (5), 377–385 (1987).Google Scholar
7. Schröer, K., Albright, S. L. and Grethlein, M., “Complete, minimal and model-continuous kinematic models for robot calibration,” Robot. Comput.-Integr. Manuf. 13 (1), 73–85 (1997).Google Scholar
8. Denavit, J. and Hartenberg, R. S., “A kinematic notation for lower-pair mechanisms based on matrices,” Trans. AESM. J. Appl. Mech. 22 (6), 215–221 (Jun. 1955).Google Scholar
9. Hayati, S. A., “Robot Arm Geometric Link Parameter Estimation,” Proceedings of the 22th IEEE Conference on Decision & Control, San Antonio, USA (1983) pp. 1477–1483.Google Scholar
10. Stone, H. W. and Sanderson, A. C., “Statistical Performance Evaluation of the S-Model Arm Signature Identification Technique,” IEEE Trans. Robot. & Autom. 2 (2), 939–946 (1988).Google Scholar
11. Zhuang, H. Q., Roth, Z. S. and Hamano, F., “A Complete and Parametrically Continuous Kinematic Model for Robot Manipulators,” IEEE Trans. Robot. & Autom. 8 (4), 451–463 (1992).Google Scholar
12. Brockett, R. W., “Robotic Manipulators and the Product of Exponentials Formula,” In: Mathematical Theory of Networks and Systems (Fuhrman, P. A., ed.), (Springer, Berlin Heidelberg, 1984) pp. 120–129.Google Scholar
13. Park, F. C. and Okamura, K., “Kinematic Calibration and the Product of Exponentials Formula,” In Advances in Robot Kinematics and Computational Geometry (Lenarčič, J. and Ravani, B. eds.) (MIT Press, Cambridge, 1994) pp. 119–128.CrossRefGoogle Scholar
14. Okamura, K. and Park, F. C., “Kinematic calibration using the product of exponentials formula,” Robotica 14 (4), 415–421 (1996).Google Scholar
15. Chen, I. M., Yang, G. L., Tan, C. T. and Song, H. Y., “Local POE model for robot kinematic calibration,” Mechanism & Machine Theory 36 (11), 1215–1239 (2001).Google Scholar
16. Lou, Y. J., Chen, T. N., Wu, Y. Q. and Li, Z. B., “Improved and Modified Geometric Formulation of POE Based Kinematic Calibration of Serial Robots,” Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, St Louis, USA (2009) pp. 5261–5266.Google Scholar
17. He, R. B., Zhao, Y. J., Yang, S. N. and Yang, S. Z., “Kinematic-parameter identification for serial-robot calibration based on POE formula,” IEEE Trans. Robot. 26 (3), 411–423 (2010).Google Scholar
18. Yang, X. D., Wu, L., Li, J. Q. and Chen, K., “A minimal kinematic model for serial robot calibration using POE formula,” Robot. Comput. Integr. Manuf. 30 (3), 326–334 (2014).Google Scholar
19. He, R. B., Li, X. W., Shi, T. L., Wu, B., Zhao, Y. J., Han, F. J., Yang, S. J., Huang, S. H. and Yang, S. Z., “A kinematic calibration method based on the product of exponentials formula for serial robot using position measurements,” Robotica 33 (6), 1–19 (2014).Google Scholar
20. Wu, L., Yang, X. D., Chen, K. and Ren, H. J., “A minimal POE-based model for robotic kinematic calibration with only position measurements,” IEEE Trans. Autom. Sci. Eng. 12 (2), 758–763 (2015).Google Scholar
21. Gao, W. B., Wang, H. G., Jiang, Y. and Pan, X. A., “Kinematic calibration method of robots based on distance error,” Robotics 35 (5), 600–606 (2013).Google Scholar
22. Guo, S. X., Sugimoto, K. and Hata, S., “Development of A Macro/micro Mechanism for Human Scale Teleoperating System,” Proceedings of the International Symposium on Micromechatronics and Human Science, Nagoya, Japan (2000) pp. 163–168.Google Scholar
23. Qi, R. L., Zhou, W. J., Zhang, H. J., Zhang, W. and Yang, G. X., “Trace generation of friction stir welding robot for space weld joint on large thin-walled parts,” Ind. Robot. Int. J. 43 (6), 617–627 (2016).Google Scholar