Skip to main content
Log in

Robust Tracking of a Lightweight Manipulator System

  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

A robust control design for high performance joint trajectory tracking of a flexible lightweight manipulator system is proposed. The design is based on a combined controller-observer scheme involving the sliding manifold approach and the optimal interpolation technique. This controller provides the designer with an enhanced joint tracking performance when the system is subject to parametric variations due to structural disturbances caused by link flexibility and load uncertainties. The parametric variations are handled by sliding control and the estimation of the nonlinearly excited elastic dynamics by an optimal interpolator of the structure's dynamic responses. The design procedure is progressive, i.e., we start with a basic controller and then modify it in order to improve the performance. Closed loop simulations with the various designed controllers are used to validate the analytical results and to help choosing the most suitable one.

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. Benati, B. and Marro, A., 'Dynamics of chain of flexible links', ASME Journal of Dynamic Systems, Measurement and Control 110, 1988, 410–415.

    Google Scholar 

  2. Schmitz, E., 'Modeling and control of a planar manipulator with an elastic forearm', in Proceedings of the IEEE International Conference On Robotics and Automation, Vol. 1, IEEE, New York, 1989, pp. 267–278.

    Google Scholar 

  3. De Luca, A. and Siciliano, B., 'Closed form dynamic model of planar multilink lightweight robots', IEEE Transactions on Systems, Man and Cybernetics 21, 1991, 826–839.

    Google Scholar 

  4. Siciliano, B. and Book, W. J., 'A singular perturbation approach to control of lightweight flexible manipulators', The International Journal of Robotics Research 7, 1988, 79–90.

    Google Scholar 

  5. De Luca, A. and Siciliano, B., 'Joint based control of a nonlinear model of a flexible arm', in Proceedings of the American Control Conference, Vol. 2, 1988, pp. 935–940.

    Google Scholar 

  6. De Luca, A. and Siciliano, B., 'Trajectory control of a non-linear one link manipulator', International Journal of Control 50, 1989, 1699–1715.

    Google Scholar 

  7. Hastings, G. G. and Book, W. J., 'Experiments in optimal control of a flexible arm', in Proceedings of the American Control Conference, Vol. 2, 1985, pp. 728–729.

    Google Scholar 

  8. Fraser, A. R. and Daniel, R. W., Perturbation Techniques for Flexible Manipulators, Kluwer, Dordrecht, 1991.

    Google Scholar 

  9. Karray, F., 'Nonlinear operator optimal interpolation and sliding control of deformable maneuvering bodies', Ph.D. Thesis, College of Engineering, University of Illinois, Urbana, IL, 1989.

    Google Scholar 

  10. Dwyer, T. A. W. and Karray, F., 'Bilinear modeling and estimation of slew-induced deformations', Journal of Astronautical Sciences 39, 1991, 57–69.

    Google Scholar 

  11. Slotine, J. J., 'Sliding controller design for nonlinear systems', International Journal of Control 40, 1984, 521–434.

    Google Scholar 

  12. Dwyer, T. A. W. and Kim, J., 'Bandwidth-limited robust sliding control spacecraft for pointing and tracking maneuvers', in Variable Structure Control: Aerospace Applications, K. K. Young (ed.), Elsevier, Amsterdam, 1990.

    Google Scholar 

  13. Book, W. J., 'Recursive Lagrangian dynamics of flexible manipulator arms', The International Journal of Robotics Research 3, 1984, 87–101.

    Google Scholar 

  14. Karray, F., Modi, V. J., and Dwyer, T. A. W., 'On the elastic mode estimation aspect of a class of multibody flexible systems', IEEE Transactions on Automatic Control 39, 1994, 1016–1020.

    Google Scholar 

  15. Flugge-Lotz, I., Discontinuous Automatic Control, Princeton University Press, Princeton, NJ, 1953.

    Google Scholar 

  16. Emel-yanov, V., 'Design of variable structure control systems with discontinuous switching functions', Engineering Cybernetics 1, 1964, 156–160.

    Google Scholar 

  17. Utkin, V., 'Equation of sliding mode in discontinuous systems', Automation and Remote Control 21, 1978, 1897–1907.

    Google Scholar 

  18. Karray, F. and Dwyer, T. A. W., 'On the robust control aspect of systems involving interconnected rigid and flexible appendages: Case study', International Journal of Control 57, 1993, 29–54.

    Google Scholar 

  19. Lewis, F. L., Abdallah, C. T., and Dawson, D. M., Control of Robot Manipulators, MacMillan, New York, 1993.

    Google Scholar 

  20. Karray, F. and Modi, V. J., 'Robust enhancement of the slew performance of a class of a new generation spacecraft', in The 32nd IEEE Conference on Decision and Control, Vol. 2, IEEE, New York, 1993, pp. 1390–1395.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karray, F., Tafazolli, S. & Gueaieb, W. Robust Tracking of a Lightweight Manipulator System. Nonlinear Dynamics 20, 169–179 (1999). https://doi.org/10.1023/A:1008388031415

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1008388031415

Navigation