Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
research-article

An efficient calibration method for serial industrial robots based on kinematics decomposition and equivalent systems

Published: 01 December 2023 Publication History
  • Get Citation Alerts
  • Highlights

    The original robot is divided into three sub-robots through kinematics decomposition.
    Each sub-robot is treated as a 6-DOF kinematically equivalent system for calibration.
    LS-SVR models are used to approximate the configuration-dependent joint motion errors.
    Experimental results verify the effectiveness and efficiency of the proposed method.

    Abstract

    Calibration of the serial industrial robot with large workspace usually requires a time-consuming measurement task due to the exponential growth of measurement configurations with respect to degrees of freedom (DOFs). To improve efficiency, this paper presents a novel calibration method based on kinematics decomposition and equivalent systems. The trick is to use three lower-mobility sub-robot systems to replace the original robot, where these sub-robots possess quite the same base and end effector to avoid detection of any intermediate frame. For calibration, each sub-robot is treated as a kinematically equivalent system that only contains configuration-dependent joint motion errors, and least-squares support vector regression (LS-SVR) is utilized for joint motion error function approximation. Calibration experiments are conducted on a 6-DOF serial robot ABB IRB 2600. Compared with other methods, the proposed method can significantly save the required measurement configurations and the controller's memory space without losing high calibration accuracy. Experimental results show that the maximum position/orientation errors can be reduced to 0.393 mm/0.038 deg. After calibration, the robot can be applied to assemble parts with small clearance successfully, further demonstrating the effectiveness of the proposed method.

    References

    [1]
    A. Verl, A. Valente, S. Melkote, C. Brecher, E. Ozturk, L.T. Tunc, Robots in machining, CIRP. Ann. 68 (2019) 799–822,.
    [2]
    S.H. Kim, E. Nam, T.I. Ha, S.H. Hwang, J.H. Lee, S.H. Park, B.K. Min, Robotic machining: a review of recent progress, Int. J. Precis. Eng. Manuf. 20 (2019) 1629–1642,.
    [3]
    I. Iglesias, M.A. Sebastián, J.E. Ares, Overview of the state of robotic machining: current situation and future potential, Procedia. Eng 132 (2015) 911–917,.
    [4]
    Z.S. Roth, B.W. Mooring, B. Ravani, An overview of robot calibration, IEEE. J. Robot. Autom 3 (1987) 377–385,.
    [5]
    Z. Li, S. Li, X. Luo, An overview of calibration technology of industrial robots, IEEE/CAA. J. Automatica Sinica 8 (2021) 23–36,.
    [6]
    J. Denavit, R.S. Hartenberg, A kinematic notation for lower-pair mechanisms based on matrices, J. Appl. Mech 22 (1955) 215–221,.
    [7]
    S. Hayati, M. Mirmirani, Improving the absolute positioning accuracy of robot manipulators, J. Robot. Syst 2 (1985) 397–413,.
    [8]
    R. He, Y. Zhao, S. Yang, S. Yang, Kinematic-parameter identification for serial-robot calibration based on POE formula, IEEE. Trans. Rob. 26 (2010) 411–423,.
    [9]
    X. Yang, L. Wu, J. Li, K. Chen, A minimal kinematic model for serial robot calibration using POE formula, Robot. Comput. Integr. Manuf 30 (2014) 326–334,.
    [10]
    G. Chen, H. Wang, Z. Lin, Determination of the identifiable parameters in robot calibration based on the POE formula, IEEE. Trans. Rob. 30 (2014) 1066–1077,.
    [11]
    Y. Song, M. Liu, B. Lian, Y. Qi, Y. Wang, J. Wu, Q. Li, Industrial serial robot calibration considering geometric and deformation errors, Robot. Comput. Integr. Manuf (2022) 76,.
    [12]
    J. Chen, F. Xie, X.J. Liu, Z. Chong, Elasto-geometrical calibration of a hybrid mobile robot considering gravity deformation and stiffness parameter errors, Robot. Comput. Integr. Manuf 79 (2022),.
    [13]
    L. Ma, P. Bazzoli, P.M. Sammons, R.G. Landers, D.A. Bristow, Modeling and calibration of high-order joint-dependent kinematic errors for industrial robots, Robot. Comput. Integr. Manuf 50 (2018) 153–167,.
    [14]
    Z. Jiang, M. Huang, X. Tang, Y. Guo, A new calibration method for joint-dependent geometric errors of industrial robot based on multiple identification spaces, Robot. Comput. Integr. Manuf 71 (2021),.
    [15]
    Y. Guo, S. Yin, Y. Ren, J. Zhu, S. Yang, S. Ye, A multilevel calibration technique for an industrial robot with parallelogram mechanism, Precis. Eng. 40 (2015) 261–272,.
    [16]
    Y. Zeng, W. Tian, W. Liao, Positional error similarity analysis for error compensation of industrial robots, Robot. Comput. Integr. Manuf 42 (2016) 113–120,.
    [17]
    D. Chen, P. Yuan, T. Wang, Y. Cai, L. Xue, A compensation method for enhancing aviation drilling robot accuracy based on co-kriging, Int. J. Precis. Eng. Manuf. 19 (2018) 1133–1142,.
    [18]
    Y. Bai, On the comparison of model-based and modeless robotic calibration based on a fuzzy interpolation method, Int. J. Adv. Manuf. Technol. 31 (2007) 1243–1250,.
    [19]
    Y. Bai, D. Wang, Calibrate parallel machine tools by using interval type-2 fuzzy interpolation method, Int. J. Adv. Manuf. Technol. 93 (2017) 3777–3787,.
    [20]
    G. Alici, B. Shirinzadeh, A systematic technique to estimate positioning errors for robot accuracy improvement using laser interferometry based sensing, Mech. Mach. Theory 40 (2005) 879–906,.
    [21]
    P. Yuan, D. Chen, T. Wang, S. Cao, Y. Cai, L. Xue, A compensation method based on extreme learning machine to enhance absolute position accuracy for aviation drilling robot, Adv. Mech. Engin 10 (2018) 1–11,.
    [22]
    H.N. Nguyen, J. Zhou, H.J. Kang, A calibration method for enhancing robot accuracy through integration of an extended Kalman filter algorithm and an artificial neural network, Neurocomputing 151 (2015) 996–1005,.
    [23]
    W. Wang, W. Tian, W. Liao, B. Li, J. Hu, Error compensation of industrial robot based on deep belief network and error similarity, Robot. Comput. Integr. Manuf 73 (2022),.
    [24]
    Y. Song, W. Tian, Y. Tian, X. Liu, Calibration of a Stewart platform by designing a robust joint compensator with artificial neural networks, Precis. Eng. 77 (2022) 375–384,.
    [25]
    A. Nubiola, I.A. Bonev, Absolute calibration of an ABB IRB 1600 robot using a laser tracker, Robot. Comput. Integr. Manuf 29 (2013) 236–245,.
    [26]
    J.S. Shamma, D.E. Whitney, A method for inverse robot calibration, J. Dyn. Syst,. Measur. Control, Transac. ASME 109 (1987) 36–43,.
    [27]
    S. Cao, Q. Cheng, Y. Guo, W. Zhu, H. Wang, Y. Ke, Pose error compensation based on joint space division for 6-DOF robot manipulators, Precis. Eng. 74 (2022) 195–204,.
    [28]
    R.M. Murray, Z. Li, S.S. Sastry, A Mathematical Introduction to Robotic Manipulation, CRC Press, Boca Raton, 1994,.
    [29]
    T. Huang, H. Liu, D.G. Chetwynd, Generalized Jacobian analysis of lower mobility manipulators, Mech. Mach. Theory 46 (2011) 831–844,.
    [30]
    S. Xu, X. An, X. Qiao, L. Zhu, L. Li, Multi-output least-squares support vector regression machines, Pattern Recognit. Lett 34 (2013) 1078–1084,.
    [31]
    J.A.K. Suykens, J. De Brabanter, L. Lukas, J. Vandewalle, Weighted least squares support vector machines: robustness and sparce approximation, Neurocomputing 48 (2002) 85–105,.
    [32]
    International organization for standardization. manipulating industrial robots—performance criteria and related test methods, ISO 9283 (1998).

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image Robotics and Computer-Integrated Manufacturing
    Robotics and Computer-Integrated Manufacturing  Volume 84, Issue C
    Dec 2023
    313 pages

    Publisher

    Pergamon Press, Inc.

    United States

    Publication History

    Published: 01 December 2023

    Author Tags

    1. Robot calibration
    2. Equivalent system
    3. Kinematics decomposition
    4. Least-squares support vector regression

    Qualifiers

    • Research-article

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • 0
      Total Citations
    • 0
      Total Downloads
    • Downloads (Last 12 months)0
    • Downloads (Last 6 weeks)0

    Other Metrics

    Citations

    View Options

    View options

    Get Access

    Login options

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media