Skip to main content

Local Models for Learning Inverse Kinematics of Redundant Robots: A Performance Comparison

  • Conference paper
  • First Online:
Advances in Self-Organizing Maps and Learning Vector Quantization

Abstract

In this paper we report the results of a comprehensive comparative analysis of the performances of six local models applied to the task of learning the inverse kinematics of a redundant robotic arm (Motoman HP6). The evaluated algorithm are the following ones: SOM-based Local Linear Mapping (LLM), Radial Basis Functions Network (RBFN), Local Model Network (LMN), Local Weighted Regression (LWR), Takagi-Sugeno-Kang Fuzzy Model (TSK) and Local Linear Mapping over K-winners (KSOM). Each algorithm is evaluated with respect to its accuracy in estimating the joint angles given the Cartesian coordinates along end-effector trajectories within the robot workspace. Also, a careful evaluation of the performances of the aforementioned algorithms is carried out based on correlation analysis of the residuals of the best model.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Available for download from www.cis.hut.fi/somtoolbox/.

  2. 2.

    Available in the Robotics Toolbox for Matlab [2].

References

  1. Barreto, G.A., Araújo, A.F.R., Ritter, H.J.: Self-organizing feature maps for modeling and control of robotic manipulators. J. Intell. Robot. Syst. 36(4), 407–450 (2003)

    Article  MATH  Google Scholar 

  2. Corke, P.: Robotics, Vision and Control: Fundamental Algorithms in MATLAB, vol. 73. Springer Science & Business Media (2011)

    Google Scholar 

  3. Huang, G.B., Zhu, Q.Y., Siew, C.K.: Extreme learning machine: theory and applications. Neurocomputing 70(1), 489–501 (2006)

    Article  Google Scholar 

  4. Kohonen, T.: Essentials of the self-organizing map. Neural Netw. 37, 52–65 (2013)

    Article  Google Scholar 

  5. Köker, R., Çakar, T., Sari, Y.: A neural-network committee machine approach to the inverse kinematics problem solution of robotic manipulators. Eng. Comput. 30(4), 641–649 (2014)

    Article  Google Scholar 

  6. Murray-Smith, R., Johansen, T.A.: Local learning in local model networks. In: Proceedings of the ICANN’95, pp. 40–46 (1995)

    Google Scholar 

  7. Poggio, T., Girosi, F.: Networks for approximation and learning. Proc. IEEE 78(9), 1481–1497 (1990)

    Article  Google Scholar 

  8. Schaal, S., Atkeson, C.G., Vijayakumar, S.: Scalable techniques from nonparametric statistics for real time robot learning. Appl. Intell. 17(1), 49–60 (2002)

    Article  MATH  Google Scholar 

  9. Souza, L.G.M., Barreto, G.A.: On building local models for inverse system identification with vector quantization algorithms. Neurocomputing 73(10–12), 1993–2005 (2010)

    Article  Google Scholar 

  10. Takagi, T., Sugeno, M.: Fuzzy identification of systems and its application to modeling and control. IEEE Trans. Syst. Man Cybern. 15(1), 116–132 (1985)

    Article  MATH  Google Scholar 

  11. Walter, J., Ritter, H., Schulten, K.: Non-linear prediction with self-organizing map. In: Proceedings of the IJCNN’90, pp. 587–592 (1990)

    Google Scholar 

Download references

Acknowledgments

Authors thank CNPq (grant 309841/2012-7) and NUTEC for their financial support.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Humberto I. Fontinele , Davyd B. Melo or Guilherme A. Barreto .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Fontinele, H.I., Melo, D.B., Barreto, G.A. (2016). Local Models for Learning Inverse Kinematics of Redundant Robots: A Performance Comparison. In: Merényi, E., Mendenhall, M., O'Driscoll, P. (eds) Advances in Self-Organizing Maps and Learning Vector Quantization. Advances in Intelligent Systems and Computing, vol 428. Springer, Cham. https://doi.org/10.1007/978-3-319-28518-4_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-28518-4_15

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-28517-7

  • Online ISBN: 978-3-319-28518-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics