Skip to main content
Log in

Linear stabilizing controllers for electrically driven flexible-joint robots with uncertain parameters

  • Published:
Circuits, Systems and Signal Processing Aims and scope Submit manuscript

Abstract

This study presents a linear output-based controller for stabilizing a rigid-link flexible-joint electrically driven (RLFJED) robot manipulator. The proposed controller ensures local exponential stability under some uncertainty conditions. It is assumed that the velocity signals from the link side are not measurable. The controller is analyzed by using tools for pole placement by an output-feedback in the framework of the linear system theory. Some useful structural properties of the systems under consideration have been studied. Applications of the results to the set-point regulation control problem are considered.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Ailon, Output controllers based on iterative schemes for set-point regulation of unertain flexible-joint robot models,Automatica, vol. 32, pp. 1455–1462, 1996.

    Google Scholar 

  2. A. Ailon, An approach for set-point regulation of electrically driven flexible-joint robots with uncertain parameters,IEEE Conf. Contr. Applic., Trieste, Italy, Sept. 1998.

  3. A. Ailon, R. Lozano, and M. I. Gil', Point-to-point regulation of a robot with flexible joints including electrical effects of actuator dynamics,IEEE Trans. Automatic Control, vol. 42, pp. 559–564, 1997.

    Google Scholar 

  4. A. Ailon and R. Ortega, An observer-based set-point controller for robot manipulators with flexible joints,Systems Control Lett., vol. 21, pp. 329–335, 1993.

    Google Scholar 

  5. S. Battilotti and L. Lanary, Global set point control via link position measurement for flexible joint robots,Systems Control Lett., 25, 21–29, 1995.

    Google Scholar 

  6. H. Berghuis and H. Nijmeijer, Global regulation of robots using only position measurement for flexible joint robots,Systems Control Lett., 21, 289–293, 1993.

    Google Scholar 

  7. M. Bridges, D. M. Dawson, and J. Hu, Adaptive control for a class of direct drive robot manipulators,Internat. J. Adapt. Sig. Processing, 10, 417–441, 1996.

    Google Scholar 

  8. T. Burg, D. Dawson, J. Hu, and M. Querioz, An adaptive partial state-feedback controller for RLED robot manipulators,IEEE Trans. Automatica Control, 41, 1024–1030, 1996.

    Google Scholar 

  9. R. Kelly, R. Ortega, A. Ailon, and A. Loria, Global regulation of flexible joint robots using approximate differentiation,IEEE Trans. Automatica Control, 39, 1222–1224, 1994.

    Google Scholar 

  10. H. Kimura, Pole assignment by gain output feedback,IEEE Trans. Automatic Control, 20, 509–516, 1975.

    Google Scholar 

  11. F. L. Lewis, C. T. Abdallah, and D. M. Dawson,Control of Robot Manipulator, New York: Macmillan, 1991.

    Google Scholar 

  12. R. Ortega, A. Loria, and R. Kelly, A semiglobally stable output feedback PI2D regulator for robot manipulators,IEEE Trans. Automatic Control, 40, 1432–1436, 1995.

    Google Scholar 

  13. M. W. Spong, Modeling and control of elastic joint robots,J. Dynamic Syst., Meas. Control, 109, 310–319, 1987.

    Google Scholar 

  14. M. W. Spong and M. Vidyasagar,Robot Dynamics and Control, New York: John Wiley & Sons, 1989.

    Google Scholar 

  15. T.-J. Tarn, A. K. Bejczy, and X. Yun, Effect of motor dynamics on nonlinear feedback robot arm control,IEEE Trans. Robotics and Automation, 7, 114–122, 1991.

    Google Scholar 

  16. P. Tomei, A simple PD controller for robots with elastic joints,IEEE Trans. Automatic Control, 36, 1208–1213, 1991.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ailon, A., Gil, M.I., Choi, ES. et al. Linear stabilizing controllers for electrically driven flexible-joint robots with uncertain parameters. Circuits Systems and Signal Process 18, 131–147 (1999). https://doi.org/10.1007/BF01206679

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01206679

Keywords

Navigation