Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-25T13:59:22.775Z Has data issue: false hasContentIssue false

Synthesis of a complete sagittal gait cycle for a five-link biped robot

Published online by Cambridge University Press:  08 October 2003

Xiuping Mu
Affiliation:
Department of Mechanical and Industrial Engineering, University of Manitoba, Winnipeg, Manitoba (Canada) R3T 5V6 email: [email protected]
Qiong Wu
Affiliation:
Department of Mechanical and Industrial Engineering, University of Manitoba, Winnipeg, Manitoba (Canada) R3T 5V6 email: [email protected]

Summary

This paper presents a method for synthesising the joint profiles for a planar five-link biped walking on flat ground. Both single support and double support phases are considered. The joint profiles have been determined based on constraint equations cast in terms of step length, step period, maximum step height and so on. A special constraint equation is developed to eliminate the destabilising effect of the impact (heel strike) occurring in the system. Other advantages of our joint profiles include system stability during the double support phase and repeatability of gait. The method of formulating compatible trajectories of the hip and swing limb is employed. We demonstrate the advantages of this method over the one of direct formulation of the joint profiles in that it not only significantly simplifies the problem by de-coupling the biped into three subsystems (a trunk and two lower limbs), but also allows the incorporation of certain constraints without drastically increasing the complexity of the constraint equations. The effectiveness of the proposed method is demonstrated using computer simulations. We believe that this research can provide a valuable tool for generating motion patterns of bipedal gait.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2003

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. Tzafestas, S., Raibert, M. and Tzafestas, C., “Robust Slidingmode Control Applied to a 5-Link Biped Robot”, Journal of Intelligent and Robotic Systems 15, 67133 (1996).CrossRefGoogle Scholar
2. Furusho, J. and Masubuchi, M., “Control of a Dynamical Biped Locomotion System for Steady Walking”, Journal of Dynamic Systems, Measurement, and Control 108, 111118 (1986).CrossRefGoogle Scholar
3. Furusho, J. and Masubuchi, M., “A Theoretically Motivated Reduced Order Model for the Control of Dynamic Biped Locomotion”, Journal of Dynamic Systems Measurement, and Control 109, 155163 (1987).CrossRefGoogle Scholar
4. Vukobratovic, M., Borovac, B., Surla, D. and Stokic, D., Scientific Fundamentals of Robotics 7. Biped Locomotion: Dynamics Stability, Control and Application (Springer-Verlag, New York, 1990).CrossRefGoogle Scholar
5. Zarrugh, M.Y. and Radcliffe, C.W., “Computer Generation of Human Gait Kinematics”, Journal of Biomechanicas 12, 99111 (1979).CrossRefGoogle ScholarPubMed
6. Hurmuzlu, Y., “Dynamics of Bipedal Gait: Part I – Objective Functions and the Contact Event of a Planar Five-Link Biped”, Journal of Applied Mechanics 60, 331336 (1993).CrossRefGoogle Scholar
7. Ma, B. and Wu, Q., “Parameter Study of Repeatable Gait for a Planar Five-Link Biped20, Part 5, 493498 (2002).Google Scholar
8. Cabodevila, G. and Abba, G., “Quasi-Optimal Gait for A Biped Robot Using Genetic Algorithm”, IEEE International Conference on Systems, Man, and Cybernetics – Computational Cybernetics and Simulation 4, 39603965 (1997).CrossRefGoogle Scholar
9. Chevallereau, C. and Aoustin, Y., “Optimal Reference Trajectories for Walking And Running of a Biped Robot”, Robotica 19, Part 1, 557569 (2001).CrossRefGoogle Scholar
10. Red, E.A Dynamic Optimal Trajectory Generator for Cartesian Path Following”, Robotica 18, Part 1, 451458 (2000).CrossRefGoogle Scholar
11. Shih, C., “Gait Synthesis for a Biped Robot”, Robotica 15, 599607 (1997).CrossRefGoogle Scholar
12. Huang, Q., Yokoi, K., Kajita, S., Kaneko, K., Arai, H., Koyachi, N. and Tanie, K., “Planning Walking Patterns for a Biped Robot”, IEEE Transactions on Rohotics and Automation 17, 280289 (2001).CrossRefGoogle Scholar
13. Chow, C.K. and Jacobson, D.H., “Studies of Locomotion via Optimal Programming”, Mathematical Biosciences 10, 239306 (1971).CrossRefGoogle Scholar
14. Shih, C.L., Churng, S., Lee, T.T. and Gruver, W.A., “Trajectory Synthesis and Physical Admissibility for a Biped Robot During the Single-Support Phase”, Proc. of the 1990 IEEE International Conference on Robotics and Automation (1990) pp. 1646–1651.Google Scholar
15. Hirai, K., Hirose, M., Haikawa, Y. and Takenaka, T. “The Development of Honda Humanoid Robot”, Proc. of the 1998 IEEE International Conference on Robotics and Automation (1998) pp. 1321–1326.Google Scholar
16. Cheng, M.Y. and Lin, C.S., “Dynamic Biped Robot Locomotion on Less Structured Surfaces”, Robotica 18, Part 1, 163170 (2000).CrossRefGoogle Scholar
17. Zheng, Y.F. and Hemami, H., “Impact Effect of Biped Contact with the Environment”, IEEE Transactions on Systems, Man and Cyhernetics 3, 437443 (1984).CrossRefGoogle Scholar