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An optimization method for the reference trajectory of parametric excitation walking

Published online by Cambridge University Press:  18 August 2010

Kouichi Taji ,
Yoshihisa Banno  and
Yuji Harata
Kouichi Taji*
Affiliation:
Department of Mechanical Science and Engineering, Graduate School of Engineering, Nagoya University, Furocho, Chikusa, Nagoya 464-8603, Japan. E-mail: y_banno@nuem.nagoya-u.ac.jp
Yoshihisa Banno
Affiliation:
Department of Mechanical Science and Engineering, Graduate School of Engineering, Nagoya University, Furocho, Chikusa, Nagoya 464-8603, Japan. E-mail: y_banno@nuem.nagoya-u.ac.jp
Yuji Harata
Affiliation:
Division of Mechanical Systems and Applied Mechanics, Faculty of Engineering, Hiroshima University, 1-4-1, Kagamiyama, Higashi-Hiroshima, Japan. E-mail: harata@hiroshima-u.ac.jp
*
*Corresponding author. E-mail: taji@nuem.nagoya-u.ac.jp
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Summary

In parametric excitation walking, up-and-down motion of the center of mass restores mechanical energy and sustainable gait is generated. Not only walking performance but also walking ability strongly depends on the reference trajectory of the center of mass. In this paper, we propose an optimization method for the reference trajectory, in which the reference trajectory is confined to the quartic spline curves and the parameters of spline curves are optimized by a local search method usually used in combinatorial optimization. We apply the proposed method to a kneed biped robot and find some remarkably interesting results by numerical simulations.

Keywords

BipedsLegged robotsParametric excitationOptimizationDynamic walking
Type
Articles
Information
Robotica , Volume 29 , Issue 4 , July 2011 , pp. 585 - 593
Copyright
Copyright © Cambridge University Press 2010

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References

1.Asano, F., Luo, Z. W. and Hyon, S., “Parametric Excitation Mechanisms for Dynamic Bipedal Walking,” Proceedings of the IEEE International Conference on Robotics and Automation (2005) pp. 611–617.Google Scholar
2.Harata, Y., Asano, F., Luo, Z. W., Taji, K. and Uno, Y., “Biped Gait Generation Based on Parametric Excitation by Knee-joint Actuation,” Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (2007) pp. 2198–2203.Google Scholar
3.Harata, Y., Asano, F., Luo, Z. W., Taji, K. and Uno, Y., “Biped gait generation based on parametric excitation by knee-joint actuation,” Robotica 27, 1063–1073 (2009).Google Scholar
4.Harata, Y., Asano, F., Taji, K. and Uno, Y., “Parametric Excitation Based Gait Generation for Ornithoid Walking,” Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (2008) pp. 2940–2945.Google Scholar
5.Harata, Y., Asano, F., Taji, K. and Uno, Y., “Ornithoid gait generation based on parametric excitation,” J. Robot. Soc. Japan 27, 575–582 (2009) (in Japanese).Google Scholar
6.Lavrovskii, E. K. and Formal'skii, A. M., “Optimal control of the pumping and damping of swing,” J. Appl. Math. Mech. 57 (2), 311–320 (1993).Google Scholar
7.Chevallereau, C. and Aoustin, Y., “Optimal reference trajectories for walking and running of a biped robot,” Robotica 19 (5), 557–569 (2001).CrossRefGoogle Scholar
8.Gabrielli, G. and von Karman, Th., “What price speed? Specific power required for propulsion of vehicles,” Mech. Eng. 72 (10), 775–781 (1950).Google Scholar
9.Harata, Y., Asano, F., Taji, K. and Uno, Y., “Parametric Excitation Walking for Four-linked Bipedal Robot,” Preprints of the 9th IFAC Symposium on Robot Control (2009) pp. 589–594.Google Scholar