Skip to main content

Motion Parameterization of Parallel Robots Used in Lower Limb Rehabilitation

  • Conference paper
  • First Online:
Advances in Robot Kinematics 2020 (ARK 2020)

Abstract

In this paper the constraint equations for two parallel robots for lower limb rehabilitation are derived. A parameterization method was used where the mobile platform coordinates (written with the Study parameters) were eliminated and the constraints were computed with Groebner bases. For the two parallel robots (RAISE, RECOVER ankle module) the dependencies between the active joints of the robot and the anatomic joints were obtained. For RAISE the results agreed with previous ones, whereas for RECOVER ankle module the results showed simple equations which may be used for the complete analysis of the mechanism and for the control development.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Multi Annual Roadmap, euRobotics AISBL (2017)

    Google Scholar 

  2. Husty, M., Birlescu, I., Tucan, P., Vaida, C., Pisla, D.: An algebraic parameterization approach for parallel robots analysis. Mech. Mach. Theory 140, 245257 (2019)

    Article  Google Scholar 

  3. Gherman, B., Birlescu, I., Plitea, N., Carbone, G., Tarnita, D., Pisla, D.: On the singularity-free workspace of a parallel robot for lower-limb rehabilitation. Proc. Rom. Acad, Ser. A 20(4), 383–391 (2019)

    Google Scholar 

  4. Husty, M., Pfurner, M., Schrocker, H.P., Brunnthaler, K.: Algebraic methods in mechanism analysis and synthesis. Robotica 25(6), 661–675 (2007)

    Article  Google Scholar 

  5. Cox, D., Little, J., O’Shea, D.: Ideals, Varieties, and Algorithms. An Introduction to Computational Algebraic Geometry and Commutative Algebra, pp. 276–277. Springer, Heidelberg (2007)

    MATH  Google Scholar 

  6. Pisla, D., Birlescu, I., Vaida, C., Gherman, B., Tucan, P., Carbone, G., Plitea, N.: Parallel robot for lower limb rehabilitation. Patent Pending A/00334/04.06.2019

    Google Scholar 

  7. Pisla, D., Gherman, B., Nadas, I., Pop, N., Craciun, F., Tucan, P., Vaida, C., Carbone, G.: Innovative paralel robot for lower limb rehabilitation. Patent Pending, A00391/27.06.2019

    Google Scholar 

  8. Kumar, S., Nayak, A., Peters, H., Schulz, C., Mueller, A., Kirchner, F.: Kinematic analysis of a novel parallel 2SPRR+1U ankle mechanism in humanoid robot. In: ARK 2018. Springer Proceedings in Advanced Robotics, vol. 8., pp. 431–439. Springer, Cham (2018)

    Google Scholar 

Download references

Acknowledgements

The paper presents results from the research activities of the project ID 37_215, MySMIS code 103415 “Innovative approaches regarding the rehabilitation and assistive robotics for healthy ageing” co-financed by the European Regional Development Fund through the Competitiveness Operational Programme 2014-2020, Priority Axis 1, Action 1.1.4, through the financing contract 20/01.09.2016, between the Technical University of Cluj-Napoca and ANCSI as Intermediary Organism in the name and for the Ministry of European Funds.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Doina Pisla .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Birlescu, I. et al. (2021). Motion Parameterization of Parallel Robots Used in Lower Limb Rehabilitation. In: Lenarčič, J., Siciliano, B. (eds) Advances in Robot Kinematics 2020. ARK 2020. Springer Proceedings in Advanced Robotics, vol 15. Springer, Cham. https://doi.org/10.1007/978-3-030-50975-0_8

Download citation

Publish with us

Policies and ethics