Skip to main content

Compliance Optimization Considering Dynamics for Whole-Body Control of a Humanoid

  • Conference paper
  • First Online:
Robotics Research (ISRR 2019)

Part of the book series: Springer Proceedings in Advanced Robotics ((SPAR,volume 20))

Included in the following conference series:

Abstract

This paper discusses an optimization method of the whole-body compliance for stable and robust control of a humanoid robot. In a previous study, one of the authors proposed resolving the virtual viscoelasticity at the center of gravity into the joint viscoelasticity, considering the redundant degrees of freedom, and named this method as resolved viscoelasticity control (RVC). However, the author considered only the relationship based on statics. In this study, the authors extend the previous work on the RVC by considering dynamics. This extension helps to realize stable and robust balancing. We also provide a comparison between the RVC and the control method based on the operational space formulation. The proposed method is validated using forward dynamics simulations.

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. Vukobratović, M., Stepanenko, J.: On the stability of anthropomorphic systems. Math. Biosci. 15, 1–37 (1972)

    Article  Google Scholar 

  2. Kajita, S., et al.: Biped walking pattern generation by using preview control of zero-moment point. In: Proceedings of IEEE ICRA, pp. 1620–1626 (2003)

    Google Scholar 

  3. Herdt, A., et al.: Online walking motion generation with automatic foot step placement. Adv. Robot. 24, 719–737 (2010)

    Article  Google Scholar 

  4. Pratt, J., et al.: Capture point: a step toward humanoid push recovery. In: Proceedings of IEEE-RAS HUMANOIDS, pp. 200–207 (2006)

    Google Scholar 

  5. Koolen, T., et al.: Capturability-based analysis and control of legged locomotion, part 1: theory and application to three simple gait models. Int. J. Robot. Res. 31(9), 1094–1113 (2012)

    Article  Google Scholar 

  6. Hyon, S.H., Hale, J., Cheng, G.: Full-body compliant human-humanoid interaction: balancing in the presence of unknown external forces. IEEE Trans. Robot. 23(5), 884–898 (2007)

    Google Scholar 

  7. Khatib, O.: A unified approach for motion and force control: the operational space formulation. IEEE Int. J. Robot. Autom. 3(1), 43–53 (1987)

    Article  Google Scholar 

  8. Sentis, L., Park, J., Khatib, O.: Compliant control of multicontact and center-of-mass behaviors in humanoid robots. IEEE Trans. Rob. 26(3), 483–501 (2010)

    Article  Google Scholar 

  9. Righetti, L., Schaal, S.: Quadratic programming for inverse dynamics with optimal distribution of contact forces. In: Proceedings of IEEE-RAS HUMANOIDS, pp. 538–543 (2012)

    Google Scholar 

  10. Wensing, P.M., Orin, D.E.: Generation of dynamic humanoid behaviors through task-space control with conic optimization. In: Proceedings of IEEE International Conference on Robotics and Automation, pp. 3088–3094 (2013)

    Google Scholar 

  11. Yamamoto, K.: Robust walking by resolved viscoelasticity control explicitly considering structure-variability of a humanoid. In: Proceedings IEEE ICRA, pp. 3461–3468 (2017)

    Google Scholar 

  12. Yamamoto, K., Ko, T., Murotani, K., Nakamura, Y.: Experimental validation of resolved viscoelasticity control on hydrostatically driven humanoid hydra. In: Proceedings of ISER (2018)

    Google Scholar 

  13. Ko, T., et al.: Compliant biped locomotion of hydra, an electro-hydrostatically driven humanoid. In: Proceedings of IEEE-RAS HUMANOIDS, pp. 587–592 (2018)

    Google Scholar 

  14. Murotani, K., Yamamoto, K., Ko, T., Nakamura, Y.: Resolved viscoelasticity control considering singularity for knee-stretched walking of a humanoid (under review). In: Proceedings of ICRA (2019)

    Google Scholar 

  15. Kaminaga, H., et al.: Mechanism and control of whole-body electro-hydrostatic actuator driven humanoid robot hydra. In: Proceedings of ISER (2016)

    Google Scholar 

  16. Cutkosky, M.R., Kao, I.: Computing and controlling the compliance of a robotic hand. IEEE Trans. Robot. Autom. 5(2), 151–165 (1989)

    Article  Google Scholar 

  17. Athans, M.: The matrix minimum principle. Inf. Control 11(5–6), 592–606 (1968)

    MathSciNet  MATH  Google Scholar 

  18. Yamamoto, K.: Humanoid motion analysis and control based on COG viscoelasticity. Adv. Robot. 31(7), 341–354 (2017)

    Article  Google Scholar 

  19. Hua., D., Lancaster, P.: Linear matrix equations from an inverse problem of vibration theory. Linear Algebra Appl. 246(1996), 31–47 (1996)

    Google Scholar 

  20. Xie, D.x., Zeng, J.: The optimal approximation solution associated with a nonnegative definite constraint matrix equation. In: Proceedings of the Ninth International Conference on Machine Learning and Cybernetics, pp. 117–121 (2010)

    Google Scholar 

  21. Sugihara, T., Yamamoto, K., Nakamura, Y.: Hardware design of high performance miniature anthropomorphic robots. Robot. Auton. Syst. 56(1), 82–94 (2007)

    Article  Google Scholar 

  22. Walker, M.W., Orin, D.E.: Efficient dynamic computer simulation of robotic mechanisms. ASME Tran. J. Dyn. Syst. Meas. Contr. 104, 205–211 (1982)

    Article  Google Scholar 

  23. Sugihara, T.: Standing stabilizability and stepping maneuver in planar bipdedalism based on the best COM-ZMP regulator. In: Proceedings of IEEE ICRA, pp. 1966–1971 (2009)

    Google Scholar 

Download references

Acknowledgment

This work was supported by JSPS KAKENHI Grant Number 18K19802.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ko Yamamoto .

Editor information

Editors and Affiliations

1 Electronic supplementary material

Below is the link to the electronic supplementary material.

Supplementary material 1 (ppt 660 KB)

Rights and permissions

Reprints and permissions

Copyright information

© 2022 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

Yamamoto, K., Nakamura, Y. (2022). Compliance Optimization Considering Dynamics for Whole-Body Control of a Humanoid. In: Asfour, T., Yoshida, E., Park, J., Christensen, H., Khatib, O. (eds) Robotics Research. ISRR 2019. Springer Proceedings in Advanced Robotics, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-030-95459-8_54

Download citation

Publish with us

Policies and ethics