Abstract
This paper proposes a novel self-calibration method to calibrate the accurate kinematic parameters of serial manipulators. First, a modified POE-based calibration model was established together with the modeling, identification and correction steps. It eliminates the joint offset errors and the dependent constrained parameters of joint screw errors in traditional POE-based models, which has completeness, continuity and minimality properties simultaneously and avoids normalization and orthogonalization operations. It also eliminates transformation errors of position detection information through adopting distance accuracy definition. Then, focusing on measurement step, the flowchart in a virtual closed-loop form is constructed with an infrared laser beam device and a simple observation surface. Meanwhile, the selection procedure for measurement configurations is figured out to determine the optimal number and the corresponding calibration set. Finally, experimental studies were conducted on a self-developed serial manipulator. The results of self-calibration experiments show that the proposed method is feasible and effective, and the distance accuracy could be improved by 73.64 % after performing optimal type. The results of comparison experiments with traditional external or self-calibration methods indicate that the proposed method could further improve convergence property and achievable accuracy of calibration effects, which also outperforms in terms of simplicity and accuracy.
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References
R. P. Judd and A. B. Knasinski, A technique to calibrate industrial robots with experimental verification, IEEE Transactions on Robotics and Automation, 6 (1) (1991) 20–30.
B. W. Mooring, Z. S. Roth and M. R. Driels, Fundamentals of manipulator calibration, Wiley, New York, USA (1991).
A. Omodei, G. Legnani and R. Adamini, Three methodologies for the calibration of industrial manipulators: Experimental results on a SCARA robot, J. of Robotic Systems, 17 (6) (2000) 291–307.
D. S. Wang and J. N. Chi, Survey on robot kinematics calibration, Application Research of Computers, 24 (9) (2007) 8–11 (in Chinese).
G. Chen, T. Li, M. Chu, Q. X. Jia and H. X. Sun, Review on kinematics calibration technology of serial robots, International J. of Precision Engineering and Manufacturing, 15 (8) (2014) 1759–1774.
F. C. Park, Computational aspects of the product-ofexponentials formula for robot kinematics, IEEE Transactions on Automatic Control, 39 (3) (1994) 643–647.
Y. J. Lou, T. N. Chen, Y. Q. Wu, Z. B. Li and S. L. Jiang, Improved and modified geometric formulation of POE based kinematic calibration of serial robots, IEEE/RSJ International Conference on Intelligent Robots and Systems, St. Louis, USA (2009) 5261–5266.
R. B. He, Y. J. Zhao, S. N. Yang and S. Z. Yang, Kinematicparameter identification for serial-robot calibration based on POE formula, IEEE Transactions on Robotics, 26 (3) (2010) 411–423.
Y. B. Wang, H. P. Wu and H. Handroos, Accuracy improvement of a hybrid robot for ITER application using POE modeling method, Fusion Engineering and Design, 88 (9–10) (2013) 1877–1880.
X. D. Yang, L. Wu, J. Q. Li and K. Chen, A minimal kinematic model for serial robot calibration using POE formula, Robotics and Computer-Integrated Manufacturing, 30 (3) (2014) 326–334.
L. Wu, X. D. Yang, K. Chen and H. L. Ren, A minimal POE-based model for robotic kinematic calibration with only position measurements, IEEE Transactions on Automation Science and Engineering, 12 (2) (2015) 758–763.
M. A. Meggiolaro, G. S. Scriffignano and S. Dubowsky, Manipulator calibration using a single endpoint contact constraint, ASME Design Engineering Technical Conference, Baltimore, MD (2000) 1–9 DETC2000/MECH-14129.
Z. Y. Liu, Y. L. Chen, D. K. Qu and F. Xu, Research on robot calibration, Robot, 24 (5) (2002) 447–450 (in Chinese).
A. Joubair, M. Slamani and I. A. Bonev, Kinematic calibration of a five-bar planar parallel robot using all working modes, Robotics and Computer-Integrated Manufacturing, 29 (4) (2013) 15–25.
Y. Meng and H. Q. Zhuang, Autonomous robot calibration using vision technology, Robotics and Computer-Integrated Manufacturing, 23 (4) (2007) 436–446.
A. Watanabe, S. Sakakibara, K. Ban, M. Yamada and G. Shen, A kinematic calibration method for industrial robots using autonomous visual measurement, CIRP Annals-Manufacturing Technology, 55 (1) (2006) 1–6.
H. J. Kang, J. W. Jeong, S. W. Shin, Y. S. Suh and Y. S. Ro, Autonomous kinematic calibration of the robot manipulator with a linear laser-vision sensor, Third International Conference on Intelligent Computing, Qingdao, China (2007) 1102–1109.
C. S. Gatla, R. Lumia, J. Wood and G. Starr, An automated method to calibrate industrial robots using a virtual closed kinematic chain, IEEE Transactions on Robotics, 23 (6) (2007) 1105–1116.
I. C. Ha, Kinematic parameter calibration method for industrial robot manipulator using the relative position, J. of Mechanical Science and Technology, 22 (3) (2008) 1084–1090.
C. H. Gong, J. X. Yuan and J. Ni, A self-calibration method for robotic measurement system, J. of Manufacturing Science and Engineering, 122 (1) (2000) 174–181.
M. K. Lee, T. S. Kim and K. W. Park, Study on optimal calibration configurations of a parallel type machining center under a single planar constraint, J. of Mechanical Science and Technology, 17 (12) (2003) 1886–1893.
A. Joubair and I. A. Bonev, Comparison of the efficiency of five observability indices for robot calibration, Mechanism and Machine Theory, 70 (2013) 254–265.
K. Schroer, S. L. Albright and M. Grethlein, Complete, minimal and model-continuous kinematic models for robot calibration, Robotics and Computer-Integrated Manufacturing, 13 (1) (1997) 73–85.
W. B. Gao, H. G. Wang and Y. Jiang, A calibration method for serial robots based on POE formula, Robot, 35 (2) (2013) 156–161 (in Chinese).
X. C. Zhou, Q. X. Zhang and S. X. Zheng, A new model with compensation algorithm for distance errors of robot mechanisms, Robot, 13 (1) (1991) 44–49 (In Chinese).
M. Meloun, J. Militký, K. Kupka and R. G. Brereton, The effect of influential data, model and method on the precision of univariate calibration, Talanta, 57 (4) (2002) 721–740.
W. S. Newman and D. W. Osborn, A new method for kinematic parameter calibration via laser line, IEEE International Conference on Robotics and Automation, USA (1993) 160–165.
T. Li, K. Sun, Z. W. Xie and H. Liu, Optimal measurement configurations for kinematic calibration of six-DOF serial robot, J. of Central South University of Technology, 18 (3) (2011) 618–626.
M. J. Nategh and M. M. Agheli, A total solution to kinematic calibration of hexapod machine tools with a minimum number of measurement configurations and superior accuracies, International J. of Machine Tools and Manufacture, 49 (15) (2009) 1155–1164.
S. H. Hu, M. H. Zhang, B. P. Zhang, X. Chen and W. Yu, Design and accuracy analysis of a metamorphic CNC flame cutting machine for ship manufacturing, Chinese J. of Mechanical Engineering, 29 (5) (2016) 930–943.
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Recommended by Associate Editor Junzhi Yu
Shenghai Hu received the B.Eng. in mechanical design from Harbin Engineering University, Harbin, China, in 1978. He is currently a Professor with Harbin Engineering University and member of the Institute of China shipbuilding Surface weapon Society. His research interests mainly focus on mechanical design and optimization theory, energy efficient manufacturing process and NC machining technology.
Manhui Zhang received the B.Eng. in mechanical design from Harbin Engineering University, Harbin, China, in 2012, and is studying for a doctorate at Harbin Engineering University. His research interests mainly focus on kinematics and precision theory of serial manipulators.
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Hu, S., Zhang, M., Zhou, C. et al. A novel self-calibration method with POE-based model and distance error measurement for serial manipulators. J Mech Sci Technol 31, 4911–4923 (2017). https://doi.org/10.1007/s12206-017-0940-4
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DOI: https://doi.org/10.1007/s12206-017-0940-4