Skip to main content

Solving an end-effector positioning problem by Hopfield neural network

  • Neural Networks for Communications and Control
  • Conference paper
  • First Online:
From Natural to Artificial Neural Computation (IWANN 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 930))

Included in the following conference series:

  • 777 Accesses

Abstract

The paper proposes application of a Hopfield network to optimization of the movement of a 3R planar robot. More specifically, the network is used to solve a typically complex problem from the computational point of view — determination of the positions of the robot along a certain trajectory — in such a way as to minimize the final end-effector positioning error. The paper illustrates the methodology followed to solve this problem and discusses the results that can be obtained by using the neural solution proposed.

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. P.D.Wasserman, “Neural Computing — Theory and Practice”. Van Nostrand Reinhold Editor, pp.106–109.

    Google Scholar 

  2. R.P.Lippmann, “An Introduction to Computing with Neural Nets”. IEEE ASSP Magazine, April 1987, pp.2–22.

    Google Scholar 

  3. J.J.Hopfield, “Neurons with Graded Response Have Collective Computational Properties Like those of two-state Neurons”, Proceedings National Academy of Sciences 81:3088–3092, May 1984.

    Google Scholar 

  4. J.J.Hopfield, D.W.Tank, “Neural Computation of Decision in Optimization Problem”, Biological Cybernetics, vol.52, pp.141–152, July 1985.

    PubMed  Google Scholar 

  5. J.J.Hopfield, “Neural Networks and Physical Systems with Emergent Collective Computational Abilities”, Proceedings National Academy of Sciences 79:2554–2558, April 1982.

    Google Scholar 

  6. S.Cavalieri, M.Martini, F.Petrone, R.Sinatra, “A Neural Network Approach for Position Error Minimization Problem in Redundant Robot”, Ninth World Congress on the Theory of Machines and Mechanisms, Politecnic of Milan, Italy, August 30–September 2, 1995.

    Google Scholar 

  7. V.Marchis, F.Petrone, R.Sinatra, “Analisi dello Spazio di Lavoro di Robot Ridondanti”, XI National Congress AIMETA, 28 September–2 October, 1992, Trento, Italy.

    Google Scholar 

  8. Anza Plus User's Guide and Neurosoftware Documents Release 2.2 15 May, 1989.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

José Mira Francisco Sandoval

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cavalieri, S., Martini, M. (1995). Solving an end-effector positioning problem by Hopfield neural network. In: Mira, J., Sandoval, F. (eds) From Natural to Artificial Neural Computation. IWANN 1995. Lecture Notes in Computer Science, vol 930. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59497-3_286

Download citation

  • DOI: https://doi.org/10.1007/3-540-59497-3_286

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59497-0

  • Online ISBN: 978-3-540-49288-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics