Skip to main content

Total least squares in robot calibration

  • Chapter 6 Modeling And Design
  • Conference paper
  • First Online:
Experimental Robotics IV

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 223))

Abstract

The role of input noise is seldom considered in robot calibration. The methodology of total least squares may be applied to handle both input and output noise in robot calibration. Experimentally, we apply this method towards joint torque sensor calibration, and towards kinematic calibration of a redundant parallel-drive spherical joint in a variant called the implicit loop method.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bennett, D.J., and Hollerbach, J.M., “Autonomous calibration of single-loop closed kinematic chains formed by manipulators with passive endpoint constraints,” IEEE Trans. Robotics and Automation, vol. 7, pp. 597–606, 1991.

    Article  Google Scholar 

  2. Boggs, P.T., Byrd, R.H., and Schnabel, R.B., “A stable and efficient algorithm for nonlinear orthogonal distance regression,” SIAM J. Sci. Stat. Comput., vol. 8, pp. 1052–1078, 1987.

    Article  Google Scholar 

  3. Fuller, W.A., Measurement Error Models. NY: John Wiley & Sons, 1987.

    Google Scholar 

  4. Hayward, V., “Design of a hydraulic robot shoulder mechanism based on a combinatorial mechanism,” Preprints of the Third International Symposium on Experimental Robotics. Kyoto, Japan:, 1993.

    Google Scholar 

  5. Hollerbach, J.M., and Bennett, D.J., “Automatic kinematic calibration using a motion tracking system,” Robotics Research: the Fourth International Symposium, edited by R. Bolles and B. Roth. Cambridge, MA: MIT Press, pp. 191–198, 1988.

    Google Scholar 

  6. Hollerbach J.M., and Lokhorst, D.M., “Closed-loop kinematic calibration of the RSI 6-DOF hand controller,” IEEE Trans. Robotics and Automation, vol. 11, pp. 352–359, 1995.

    Article  Google Scholar 

  7. Hollerbach, J.M., and Wampler, C.W., “The calibration index and taxonomy for robot kinematic calibration methods,” Intl. J. Robotics Research, in press, 1996.

    Google Scholar 

  8. Ma, D., Hollerbach, J.M., and Xu, Y., “Gravity based autonomous calibration for robot manipulators,” Proc. IEEE Intl. Conf. Robotics and Automation, 1994.

    Google Scholar 

  9. Nahvi, A., Hollerbach, J.M., and Hayward, V., “Calibration of a parallel robot using multiple kinematic closed loops,” Proc. IEEE Intl. Conf. Robotics and Automation, pp. 407–412, 1994.

    Google Scholar 

  10. Norton, J.P., An Introduction to Identification. London: Academic Press, 1986.

    Google Scholar 

  11. Press, W.H., Teukolsky, S.A., Vetterling, W.T., and Flannery, B.P., Numerical Recipes in C. Cambridge, UK: Cambridge Univ. Press, 1992.

    Google Scholar 

  12. Van Huffel, S., and Vandewalle, J., The Total Least Squares Problem: Computational Aspects and Analysis. Philadelphia: SIAM, 1991.

    Google Scholar 

  13. Wampler, C.W., Hollerbach, J.M., and Arai, T., “An Implicit Loop Method for kinematic calibration and its application to closed-chain mechanisms,” IEEE Trans. Robotics and Automation, vol. 11, pp. 710–724, 1995.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Oussama Khatib J. Kenneth Salisbury

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag London Limited

About this paper

Cite this paper

Hollerbach, J., Nahvi, A. (1997). Total least squares in robot calibration. In: Khatib, O., Salisbury, J.K. (eds) Experimental Robotics IV. Lecture Notes in Control and Information Sciences, vol 223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035218

Download citation

  • DOI: https://doi.org/10.1007/BFb0035218

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-76133-4

  • Online ISBN: 978-3-540-40942-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics