Skip to main content
Log in

A Stable Neuro-Adaptive Controller for Rigid Robot Manipulators

  • Published:
Journal of Intelligent and Robotic Systems Aims and scope Submit manuscript

Abstract

In this paper a controller based on neural networks is proposed toachieve output trajectory tracking of rigid robot manipulators. Neuralnetworks used here are one hidden layer ones so that their outputs dependlinearly on the parameters. Our method uses a decomposed connectioniststructure. Each neural network approximate a separate element of thedynamical model. These approximations are used to perform an adaptive stablecontrol law. The controller is based on direct adaptive techniques and theLyapunov approach is used to derive the adaptation laws of the nets’parameters. By using an intrinsic physical property of the manipulator, thesystem is proved to be stable. The performance of the controller depends onthe quality of the approximation, i.e. on the inherent reconstruction errorsof the exact functions.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Benallegue, A. and Meddah, D. Y.: Adaptive control of a class of nonlinear systems using neural networks, in: Proc. of the Second World Automation Congress (WAC’96-ISIAC’96), Montpelier, France, 1996.

  2. Cheng, W. and Wen, J. T.-Y.: A two-time-scale neural controller for the tracking control of rigid manipulators, IEEE Trans. Systems, Man and Cybernet. 24(7) (1994), 991–1000.

    Google Scholar 

  3. Desoer, C. and Vidyasager, M.: Feedback Systems: Input–Output Properties, Academic Press, New York, 1975.

    Google Scholar 

  4. Ge, S. and Lee, T. H.: Parallel adaptive neural network control of robots, J. Systems and Control Engineering 208(1994), 231–237.

    Google Scholar 

  5. Hornik, H., Stinchcombe, M., and White, H.: Multilayer feedforward networks are universal approximators, Neural Net. 2(1989), 359–366.

    Google Scholar 

  6. Hornik, H., Stinchcombe, M., and White, H.: Universal approximation of an unknown mappings and its derivatives using multilayer feedforward networks, Neural Net. 3(1990), 551–560.

    Google Scholar 

  7. Hunt, K. J., Sbarbaro, D., Zbikowski, R., and Gawthrop, P. J.: Neural networks for control systems–A survey, Automatica 28(6) (1992), 1083–1112.

    Google Scholar 

  8. Imura, J.-I., Sugie, T., and Yoshikawa, T.: Adaptive robust control of robot manipulators–Theory and experiment, IEEE Trans. on Robot. and Automat. 10(5) (1994), 705–710.

    Google Scholar 

  9. Karakasoglu, A., Sudharsanan, S. I., and Sundareshan, M. K.: Identification and decentralized adaptive control using dynamical neural networks with application to robotic manipulators, IEEE Trans. Neural Net. 4(6) (1993), 919–930.

    Google Scholar 

  10. Katić, D. M. and Vukobratović, M. K.: Hightly efficient robot dynamics learning by decomposed connectionist feedforward control structure, IEEE Trans. Systems, Man Cybernet. 25(1) (1995), 145–158.

    Google Scholar 

  11. Narendra, K. S. and Annaswamy, A. M.: Stable Adaptive Systems, Prentice-Hall, 1989.

  12. Sanner, R. M. and Slotine, J.-J. E.: Gaussian networks for direct adaptive control, IEEE Trans. on Neural Networks, 1992.

  13. Slotine, J.-J. E. and Li, W.: Adaptive manipulator control: A case study, IEEE Trans. Automatic Control 33(11) (1988), 995–1003.

    Google Scholar 

  14. Tarokh, M. and McDermott, G.: A robust adaptive tracking controller for robot manipulators, in: Proc. of the Third IASTED Int. Conf., Cancun, Mexico, June 1995, pp. 152–155.

  15. Tzirkel-Hancock, E.: Stable control of nonlinear systems using neural networks, PhD thesis, Engineering Department, Cambridge University, 1992.

  16. Yi, S. Y. and Chung, M. J.: Robust control with an adaptation law for robot manipulators, in: Proc. of the Third IASTED Int. Conf., Cancun, Mexico, June 1995, pp. 148–151.

  17. Young, K. D.: Controller design for manipulatorrs using theory of variable structure systems, IEEE Trans. Systems, Man Cybernet. 8(2) (1978), 101–109.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Meddah, D.Y., Benallegue, A. A Stable Neuro-Adaptive Controller for Rigid Robot Manipulators. Journal of Intelligent and Robotic Systems 20, 181–193 (1997). https://doi.org/10.1023/A:1007904210780

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007904210780