Abstract
At present, the repetitive positioning accuracy of industrial robots has achieved high standards, but their absolute positioning accuracy still poses a challenge for the development of the robot industry in high-precision applications. This paper proposes a new method for achieving high-precision robot positioning using a laser tracker as an external measuring tool to collect data. The paper also introduces an innovative kinematics parameter identification algorithm based on BOA-PSO to solve kinematics error parameters and improve the accuracy of kinematics parameter identification. Additionally, three optimization strategies are introduced, including chaos initialization based on logistic mapping, adaptive mutation, and nonlinear parameter control based on sine function, to enhance the algorithm's ability to solve kinematic parameter errors and ensure the compensation effect of robot positioning errors. Finally, a calibration experiment effectively improves the absolute positioning accuracy of the robot. The maximum position error of the Staubli TX2-90L robot reduces from 0.8365 mm to 0.1617 mm. The minimum position error reduces from 0.1629 mm to 0.0486 mm. The mean position error reduces from 0.5388 mm to 0.0935 mm, and the standard deviation of position error reduces from 0.1752 mm to 0.0285 mm.
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References
Wang EZ, Lee CC, Li Y (2022) Assessing the impact of industrial robots on manufacturing energy intensity in 38 countries. Energy Econ 105:105748. https://doi.org/10.1016/j.eneco.2021.105748
Sun H, Liu C, Zhang B (2022) Static and modal analysis of industrial robots. J Phys Conf Ser 2174(1):012086. https://doi.org/10.1088/1742-6596/2174/1/012086
Zhao D, Dong C, Guo H (2018) Kinematic calibration based on the multicollinearity diagnosis of a 6-DOF polishing hybrid robot using a laser tracker. Math Probl Eng 2018:1–13. https://doi.org/10.1155/2018/5602397
He S, Ma L, Yan C (2019) Multiple location constraints based industrial robot kinematic parameter calibration and accuracy assessment. Int J Adv Manuf Technol 102(5):1037–1050. https://doi.org/10.1007/s00170-018-2948-z
Chen G, Kong L, Li Q (2019) A simple two-step geometric approach for the kinematic calibration of the 3-PRS parallel manipulator. Robotica 37(5):1–14. https://doi.org/10.1017/S0263574718001352
Li Z, Li S, Luo X (2021) An overview of calibration technology of industrial robots. IEEE/CAA J Automatica Sinica 8(01):23–36. https://doi.org/10.1109/JAS.2020.1003381
Hartenberg RS, Denavit J (1955) A kinematic notation for lower-pair mechanisms based on matrices. J Appl Mech 77(2):215–221. https://doi.org/10.1115/1.4011045
Gao T, Meng F, Zhang X (2022) Operational kinematic parameter identification of industrial robots based on a motion capture system through the recurrence way. Mech Mach Theory 172:104795. https://doi.org/10.1016/j.mechmachtheory.2022.104795
Saadah A, Husi G (2021) Kuka KR5 arc welding industrial manipulator workspace modelling based on kinematics study. IOP Conf Ser Mater Sci Eng 1169(1):012037. https://doi.org/10.1088/1757-899X/1169/1/012037
Li Z, Li S, Luo X (2022) A novel quadratic interpolated beetle antennae search for manipulator calibration. ArXiv e-prints. 2204, 1–6. https://doi.org/10.48550/arXiv.2204.06218
Li Z, Li S, Luo X (2022) A new robot arm calibration method based on cubic interpolated beetle antennae search approach. ArXiv e-prints. 2204, 1–6. https://doi.org/10.48550/arXiv.2204.06212
Hayati S, Mirmirani M (1985) Improving the absolute positioning accuracy of robot manipulators. J Robot Syst 2(4):397–413. https://doi.org/10.1002/rob.4620020406
Toquica JS, Motta JM (2022) A methodology for industrial robot calibration based on measurement sub-regions. Int J Adv Manufact Technol 119(1):1199–1216. https://doi.org/10.1007/s00170-021-08308-4
Liu W, Zhao C, Liu Y (2022) Sim2real kinematics modeling of industrial robots based on FPGA-acceleration. Robot Comput Integr Manufact 77:1–13. https://doi.org/10.1016/j.rcim.2022.102350
Kansal S, Mukherjee S (2022) Vision-based kinematic analysis of the delta robot for object catching. Robot Int J Inform Educat Res Robot Artif Intell 40(6):2010–2030. https://doi.org/10.1017/S0263574721001491
Gan Y, Duan J, Dai X (2019) A calibration method of robot kinematic parameters by drawstring displacement sensor. Int J Adv Rob Syst 16(5):1–9. https://doi.org/10.1177/1729881419883072
Kong LB, Yu Y (2022) precision measurement and compensation of kinematic errors for industrial robots using artifact and machine learning. Adv Manufact 10(3):397–410. https://doi.org/10.1007/s40436-022-00400-6
Zhang Y, Qiao G, Song G (2021) Experimental analysis on the effectiveness of kinematic error compensation methods for serial industrial robots. Math Probl Eng 2021(8):1–9. https://doi.org/10.1155/2021/8086389
Woodside MR, Fischer J, Bazzoli P (2021) A kinematic error controller for real-time kinematic error correction of industrial robots. Proc Manufact 53:705–715. https://doi.org/10.1016/J.PROMFG.2021.06.069
Tc A, Sm A, Sb B (2022) Improved state estimation of a robot end-effector using laser tracker and inertial sensor fusion. CIRP J Manuf Sci Technol 38:51–61. https://doi.org/10.1016/J.CIRPJ.2022.03.011
Gao G, Li Y, Liu F (2021) Kinematic calibration of industrial robots based on distance information using a hybrid identification method. Complexity 2021:1–10. https://doi.org/10.1155/2021/8874226
Balanji HM, Turgut AE, Tunc LT (2022) A novel vision-based calibration framework for industrial robotic manipulators. Robot Comput-Integr Manufact 73:1–15. https://doi.org/10.1016/J.RCIM.2021.102248
Chen T, Lin J, Wu D (2021) Research of calibration method for industrial robot based on error model of position. Appl Sci 11(3):1287–1303. https://doi.org/10.3390/APP11031287
Mao C, Chen Z, Li S (2021) Separable nonlinear least squares algorithm for robust kinematic calibration of serial robots. J Intell Rob Syst 101(1):1–12. https://doi.org/10.1007/s10846-020-01268-z
Luo G, Zou L, Wang Z (2021) A novel kinematic parameters calibration method for industrial robot based on Levenberg-Marquardt and differential evolution hybrid algorithm. Robot Comput-Integr Manufact. 71(1):102165. https://doi.org/10.1016/J.RCIM.2021.102165
Gao G, Kuang L, Liu F (2023) Modeling and parameter identification of a 3D measurement system based on redundant laser range sensors for industrial robots. Sensors 23(4):1913. https://doi.org/10.3390/s23041913
Boby RA (2021) Kinematic identification of industrial robot using end-effector mounted monocular camera bypassing measurement of 3D pose. IEEE/ASME Trans Mechatron 99:1–1. https://doi.org/10.1016/j.rcim.2021.102142
Huang P, Huang HZ, Li YF (2021) Positioning accuracy reliability analysis of industrial robots based on differential kinematics and saddlepoint approximation. Mech Mach Theory 162(4):1–18. https://doi.org/10.1016/J.MECHMACHTHEORY.2021.104367
Arora S, Singh S (2019) Butterfly optimization algorithm: a novel approach for global optimization. Soft Comput - A Fusion Founda Methodol Appl 23(3):715–734. https://doi.org/10.1007/s00500-018-3102-4
Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of ICNN'95-international conference on neural networks. IEEE. pp 1942–1948. https://doi.org/10.1109/ICNN.1995.488968
Ajibade SM, Chweya R, Ogunbolu MO (2022) Utilizing logistic map to enhance the population diversity of PSO. J Phys Conf Ser. 2250(1):012016. https://doi.org/10.1088/1742-6596/2250/1/012016
Kalimullah A (2021) A multimodal improved particle swarm optimization for high dimensional problems in electromagnetic devices. Energies 14(24):8575. https://doi.org/10.3390/en14248575
Li Y, Qi J, Chu X (2022) Customer segmentation using K-means clustering and the hybrid particle swarm optimization algorithm. Comput J 113:1–22. https://doi.org/10.1093/comjnl/bxab206
Zhang M, Long D, Wang X (2019) Improved grey wolf algorithm based on nonlinear control parameter strategy. In: 2019 Chinese automation congress (CAC). pp 4651–4656. https://doi.org/10.1109/CAC48633.2019.8997505
Wang W, Liu Y, Song H, Zhijiang D (2022) A novel singular-free solution based on principle of transfer theory for the hand-eye calibration problem. Mech Mach Theory 170:104723. https://doi.org/10.1016/j.mechmachtheory.2022.104723
Li S, Zhang X (2022) Research on hand-eye calibration technology of visual service robot grasping based on ROS. J Instrument 9(1):23–30. https://doi.org/10.15878/j.cnki.instrumentation.2022.01.002
Acknowledgements
This work was supported by National key R&D Program of China (Grant No. 2021YFB3201600), and the National Natural Science Foundation of Liaoning (Grant No. 2020-MS-219).
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This work was supported by National Key R&D Program of China (Grant No. 2021YFB3201600) and the National Natural Science Foundation of Liaoning (Grant No. 2020-MS-219).
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KX contributed significantly to the conception of the study and helped perform the analysis with constructive discussions. SX and QQ performed the literature analysis and wrote the manuscript. All authors read and approved the final manuscript.
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Xu, K., Xu, S. & Qi, Q. Research on high-precision positioning method of robot based on laser tracker. Intel Serv Robotics 16, 361–371 (2023). https://doi.org/10.1007/s11370-023-00467-5
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DOI: https://doi.org/10.1007/s11370-023-00467-5