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Automatic Generation of Error Models of the Kinematics of Robots

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Abstract

In this article we show that any robot configuration comprising revolute and prismatic joints can be described using four basic geometric models. The accuracy of this geometric model can be easily enhanced with non geometric error models, e.g., for backlash, deflection, or tumbling. We show that a few rules are sufficient to assure that the entire model complies to the requirements of calibration and can be generated automatically.

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References

  • B. W. Mooring, Z. S. Roth, M. R. Driels, “Fundamentals of Manipulator Calibration,” (John Wiley & Sons, 1991).

    Google Scholar 

  • L. J. Everett, “Models for Diagnosing Robot Error Sources,” Proc, IEEE Conf. on Robotics & Automation, 1993, 155-159.

    Google Scholar 

  • H. Zhuang, Z.S. Roth, F. Hamano, “A Complete and Parametrically Continuous Kinematic Model for Robot Manipulators,” IEEE Trans. RA, 8(4), 1992, 451–463.

    Google Scholar 

  • J. Denavit, R. S. Hartenberg, “A Kinematic Notation for Lower-Pair Mechanisms based on Matrices,” Trans. ASME J. Applied Mechanics, 22(5), 1955 215–221.

    MathSciNet  MATH  Google Scholar 

  • K. Schröer, et. al., “Advances in Robot Calibration: Modelling, Parameter Identification, Measurement”, Proc. 25th Int. Symp. on Industrial Robots, 1994, 733-740.

    Google Scholar 

  • S. Ahmad, “Second Order Nonlinear Kinematic Effects, and their Compensation,” Proc, Conf. on Robotics and Automation, 1985, 307-314.

    Google Scholar 

  • D.E. Whitney, G. A. Lozinsky, J. M. Rourke, “Industrial Robot Forward Calibration Method and Results,” J. Dynamic Sys., Measurement, Control, 108(1), 1986, 1–8.

    Article  MATH  Google Scholar 

  • R. P. Judd, A. B. Knasinski, “A Technique to Calibrate IR with Experimental Verification,” IEEE Trans. Robotics & Automation, 6(1), 1990, 20–30.

    Article  Google Scholar 

  • S. A. Hayati, “Robot Arm Geometric Link Parameter Estimation,” Proc. Conf. Decision and Control, 1983, 1477-1483.

    Google Scholar 

  • M. Vincze, “A Model of Direct-Drive Axes to Improve Robot Accuracy,” Ph.D. thesis, (Vienna Univ. of Techn., 1993).

    Google Scholar 

  • S. Spiess, M. Vincze, M. Ayromlou, “On the Calibration of a 6D Laser Tracking System for Contactless, Dynamic Robot Measurements”, Proc. IEEE Instrumentation and Measurement Technology Conf., 1997, 1203-1209.

    Google Scholar 

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© 1998 Springer Science+Business Media Dordrecht

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Vincze, M., Spiess, S., Götz, M., Zeichen, G. (1998). Automatic Generation of Error Models of the Kinematics of Robots. In: Lenarčič, J., Husty, M.L. (eds) Advances in Robot Kinematics: Analysis and Control. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9064-8_21

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  • DOI: https://doi.org/10.1007/978-94-015-9064-8_21

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5066-3

  • Online ISBN: 978-94-015-9064-8

  • eBook Packages: Springer Book Archive

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