Hostname: page-component-76fb5796d-qxdb6 Total loading time: 0 Render date: 2024-04-26T15:06:08.615Z Has data issue: false hasContentIssue false

Efficient dynamic bipedal walking using effects of semicircular feet

Published online by Cambridge University Press:  07 May 2010

Fumihiko Asano*
Affiliation:
School of Information Science, Japan Advanced Institute of Science and Technology, Ishikawa 923-1292, Japan
Zhi-Wei Luo
Affiliation:
Department of Computer Science and Systems Engineering, Graduate School of Engineering, Kobe University, Kobe 657-8501, Japan
*
*Corresponding author. E-mail: fasano@jaist.ac.jp

Summary

Achieving energy-efficient and high-speed dynamic walking has become one of the main subjects of research in the area of robotic biped locomotion, and passive dynamic walking has attracted a great deal of attention as a solution to this. It is empirically known that the convex curve of the foot, which characterizes passive–dynamic walkers, has an important effect on increasing the walking speed.

This paper mainly discusses our investigations into the driving mechanism for compass-like biped robots and the rolling effect of semicircular feet. We first analyze the mechanism for a planar fully actuated compass-like biped model to clarify the importance of ankle-joint torque by introducing a generalized virtual-gravity concept. A planar underactuated biped model with semicircular feet is then introduced and we demonstrate that virtual passive dynamic walking only by hip-joint torque can be accomplished based on the rolling effect. We then compare the rolling effect with a flat feet model through linear approximation, and show that the rolling effect is equivalent to virtual ankle-joint torque. Throughout this paper, we provide novel insights into how zero-moment-point-free robots can generate a dynamic bipedal gait.

Type
Article
Copyright
Copyright © Cambridge University Press 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.McGeer, T., “Passive dynamic walking,” Int. J. Robot. Res. 9 (2), 6282 (Apr. 1990).CrossRefGoogle Scholar
2.Vukobratović, M. and Stepanenko, J., “On the stability of anthropomorphic systems,” Math. Biosci. 15, 137 (Oct. 1972).CrossRefGoogle Scholar
3.Goswami, A., Espiau, B. and Keramane, A., “Limit cycles in a passive compass gait biped and passivity-mimicking control laws,” Auton. Robot. 4 (3), 273286 (Sep. 1997).CrossRefGoogle Scholar
4.Asano, F. and Yamakita, M., “Virtual gravity and coupling control for robotic gait synthesis,” IEEE Trans. Syst., Man Cybern. Part A: Syst. Humans 31 (6), 737745 (Nov. 2001).CrossRefGoogle Scholar
5.Collins, S., Ruina, A., Tedrake, R. and Wisse, M., “Efficient bipedal robots based on passive-dynamic walkers,” Sci. Mag. 307 (5712), 10821085 (Feb. 2005).Google ScholarPubMed
6.Tedrake, R., Zhang, T. W., Fong, M. and Seung, H. S., “Actuating a simple 3D passive dynamic walker,” Proceedings of the IEEE International Conferance on Robotics and Automation, New Orleans, LA, USA (Apr. 2004) pp. 46564661.Google Scholar
7.Wisse, M., Schwab, A. L., van der Linde, R. Q. and van der Helm, F. C. T., “How to keep from falling forward: Elementary swing leg action for passive dynamic walkers,” IEEE Trans. Robot. 21 (3), 393401 (Jun. 2005).CrossRefGoogle Scholar
8.Asano, F., Luo, Z.-W. and Yamakita, M., “Biped gait generation and control based on a unified property of passive dynamic walking,” IEEE Trans. Robot. 21 (4), 754762 (Aug. 2005).CrossRefGoogle Scholar
9.Seyfarth, A., Geyer, H. and Herr, H., “Swing-leg retraction: A simple control model for stable running,” J. Exp. Bio. 206 (15), 25472555 (Aug. 2003).CrossRefGoogle ScholarPubMed
10.Asano, F. and Luo, Z.-W., “The effect of semicircular feet on energy dissipation by heel-strike in dynamic biped locomotion,” Proceedings of the IEEE International Conferance on Robotics and Automation, Roma, Italy (Apr. 2007) pp. 39763981.Google Scholar
11.Asano, F. and Luo, Z.-W., “Energy-efficient and high-speed dynamic biped locomotion based on principle of parametric excitation,” IEEE Trans. Robot. 24 (6), 12891301 (Dec. 2008).CrossRefGoogle Scholar
12.Miura, H. and Shimoyama, I., “Dynamic walk of a biped,” Int. J. Robot. Res. 3 (2), 6074 (Jun. 1984).CrossRefGoogle Scholar
13.Garcia, M., Chatterjee, A., Riuna, A. and Coleman, M., “The simplest walking model: stability, complexity and scaling,” ASME J. Biomech. Eng. 120 (2), 281288 (Apr. 1998).CrossRefGoogle ScholarPubMed