Skip to main content
Log in

Control of the hop height of a one-legged resonance robot

  • Determinate Systems
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

Vertical motions of a resonance leg specially developed for running and hopping robots are considered. The nonstandard drive used that has dual properties and a variable transfer ratio makes it possible to reduce significantly energy expenses. The solution to the problem of control of the hop height for this leg includes the analysis of a physical model and the analytical solutions for the control optimal in time and optimal in energy. The data of experimental investigations are pointed up, which confirm the efficiency of suggested controllers and show the effectiveness of the developed resonance leg.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ahmadi, M. and Buehler, M., Stable Control of a Simulated One-Legged Running Robot with Hip and Leg Compliance, IEEE Trans. Robot. Automat., 1997, vol. 13(1), pp. 96–104.

    Article  Google Scholar 

  2. Lebaudy, A., Prosser, J., and Kam, M., Control Algorithms for a Vertically-Constrained One-Legged Hopping Machine, Proc. 32nd Conf. Decision Control, San Antonio, Texas, 1993.

  3. Raibert, M.H., Legged Robots That Balance, Massachusetts: Inst. of Technology, 1986.

    Google Scholar 

  4. Hodgins, J., Legged Robots on Rough Terrain: Experiments in Adjusting Step Length, Proc. 1988 IEEE Int. Conf. Robot. Automat., 1997, vol. 13.

  5. Buehler, M. and Koditschek, E., Analysis of a Simplified Hopping Robot, Proc. 1998 IEEE Int. Conf. Robot. Automat., Philadelphia, 1998, pp. 817–819.

  6. Rad, H., Gregorio, P., and Buehler, M., Design, Modeling and Control of a Hopping Robot, IEEE/RSJ Int. Conf. Intelligent Syst. Robot., Yokohama, 1993, pp. 1778–1785.

  7. Papadopoulos, E. and Cherouvim, N., On Increasing Energy Autonomy for a One-Legged Hopping Robot, Proc. 2004 IEEE Int. Conf. Robot. Automat, New Orleans, 2004.

  8. Bansevicius, R., The Mechatronics Handbook, CRC Press, Boca Raton, 2002.

    Google Scholar 

  9. Vakakis, A., Burdick, J., and Gaughey, T., An Interesting Strange Attractor in the Dynamics of a Hopping Robot, Int. J. Robot. Res., 1991, vol. 10(6), pp. 606–618.

    Article  Google Scholar 

  10. Viba, J., Tipans, I., Grasmanis, B., and Fontaine, J.G., Adaptive Excitation of Jumping Motion of an Object over Plane Obstacles, Proc. Int. Conf. Robot. Manipulat., Bourges, 2002.

  11. Ringrose, R., Self-Stabilizing Running, IEEE Int. Conf. Robot. Automat., 1997.

  12. Akinfiev, T., Armada, M., Fernandez, R., and Montes, H., Robot Saltador y el Procedimiento Para su Control (Hopping Robot and Its Control Algorithm), Spanish Patent Number: 2 209 617, 2002.

  13. Akinfiev, T., Armada, M., Montes, H., and Fernandez, R., Hopping Robot with Electric Drive, Proc. XIV Int. Sympos. The Dynamics of Vibroimpact (Strongly Nonlinear) System, 2003, pp. 7–9.

  14. Gregorio, P., Ahmadi, M., and Buehler, M., Design, Control and Energetics of an Electrically Actuated Legged Robot, IEEE Trans. Syst. Man, Cybernet., 1997, vol. 27(4), pp. 626–634.

    Article  Google Scholar 

  15. Harbick, K. and Sukhatme, G.S., Controlling Hopping Height of a Pneumatic Monopod, IEEE Int. Conf. Robot. Automat., 2002, vol. 4, pp. 3998–4003.

    Google Scholar 

  16. Zeglin, G., The Bowleg-Hopping Robot, PhD Dissertation, The Robotics Inst., Carnegie Mellon Univ., Pittsburgh, Pennsylvania, USA, 1999.

    Google Scholar 

  17. Akinfiev, T., Armada, M., and Gubarev, V., Design of Dual Drive for Vertical Movement of Resonance Hopping Robot, Measurement Control Robot, Madrid, 2003, pp. 281–286.

  18. Khalil, H.K., Nonlinear Systems, New York: Prentice Hall, 2002.

    MATH  Google Scholar 

  19. Kokotovic, P.V., The Joy of Feedback: Nonlinear and Adaptive, IEEE Control Syst. Magazin. Bode Prize Lecture, 1991, vol. 12. pp. 7–17.

    Article  Google Scholar 

  20. Krstic, M., Kanellakopoulos, I., and Kokotovic, P.V., Nonlinear and Adaptive Control Design, New York: Wiley, 1995.

    Google Scholar 

  21. Athans, M. and Falb, P.L., Optimal Control, New York: McGraw-Hill, 1966.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © R. Fernandes, T. Akinfiev, A. Armada, 2009, published in Avtomatika i Telemekhanika, 2009, No. 1, pp. 74–84.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fernandes, R., Akinfiev, T. & Armada, A. Control of the hop height of a one-legged resonance robot. Autom Remote Control 70, 64–73 (2009). https://doi.org/10.1134/S0005117909010056

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117909010056

PACS number

Navigation