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Design of a robust dynamic gait of the biped using the concept of dynamic stability margin

Published online by Cambridge University Press:  09 March 2009

Young-Jin Seo
Affiliation:
Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong, Yusung-Gu, Taejon, 305-701 (Korea)
Yong-San Yoon
Affiliation:
Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong, Yusung-Gu, Taejon, 305-701 (Korea)

Summary

A computational technique for designing a physically realizable robust dynamic gait for a planar biped robot is developed. Firstly, a feasible set of gaits was constructed to satisfy the periodicity of the biped locomotion. Then the concept of dynamic, stability margin is introduced based on the robustness of a gait with respect to the external disturbances. Using that margin, we can assess the robustness of each dynamic gait in the feasible set. It is found that the parameter, called foot strike time margin, representing the readiness of the foot strike has a close positive correlation with the dynamic stability margin. We obtain a robust gait with respect to the external disturbance by maximizing the foot strike time margin. The robustness of the optimal gait is confirmed by the behavior of the gait after application of linear impulse as well as by the examination of the largest eigenvalue at the perturbed state.

Type
Articles
Copyright
Copyright © Cambridge University Press 1995

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References

1.Song, S.M. and Waldron, K.J., Machines That Walk: The Adaptive Suspension Vehicle (MIT Press, Cambridge, Massachusetts, 1989).Google Scholar
2.Sias, F.R. Jr, and Zheng, Y.F., “How many degrees-of-freedom does a biped need?Proc. IEEE Int. Workshop on Intelligent Robots and Systems 1 (1990) pp. 297302.Google Scholar
3.Miyazaki, F. and Arimoto, S., “A Control Theoretic Study on Dynamical Biped LocomotionASME J. Dynamic Systems, Measurement, and Control 102, 233239 (1980).Google Scholar
4.Miura, H. and Shimoyama, I., “Dynamic walk of a bipedInt. J. Robotics Research 3, No. 2, 6074 (Summer, 1984).Google Scholar
5.Katoh, R. and Mori, M., “Control method of biped locomotion giving asymptotic stability of trajectoryAutomatica 20, No. 4, 405414 (1984).CrossRefGoogle Scholar
6.Kawamura, S., Kawamura, T., Fujino, D., Miyazaki, F. and Arimoto, S., “Realization of Biped Locomotion by Motion Pattern LearningJ. Robotics Soc. Japan 3, No. 3, 177187 (1985).Google Scholar
7.Furusho, J. and Masubuchi, M., “Control of a dynamical biped locomotion system for steady walkingASME J. Dynamic Systems, Measurement, and Control 108, 111118 (1986).Google Scholar
8.Furusho, J. and Sano, A., “Sensor-Based Control of a Nine-Link BipedInt. J. Robotics Research 9, No. 2, 8398 (04, 1990).CrossRefGoogle Scholar
9.Li, Q., Takanishi, A. and Kato, I., “Learning control for a biped walking robot with a trunk” Proc. IEEE/RSJ Int. Conf. on Intelligent Robots and Systems (1993) pp. 17711777.Google Scholar
10.McGeer, T., “Passive Dynamic WalkingInt. J. Robotics Research 9, No. 2, 6282 (04, 1990).CrossRefGoogle Scholar
11.Lin, B.S. and Song, S.M., “Dynamic Modelling, Stability and Energy Efficiency of a Quadrupedal Walking MachineProc. IEEE Int. Conf. on Robotics and Automation 3 (1993) pp. 367373.Google Scholar
12.Nanua, P. and Waldron, K.J., “Instability and Chaos in Quadruped GallopProc. Robotics, Spatial Mechanisms, and Mechanical Systems ASME 45, (1992) pp. 599607.Google Scholar
13.Vukobratović, M. and Stepanenko, J., “Mathematical Models of General Anthropomorphic SystemsMathematical Biosciences 17, 191242 (1973).Google Scholar
14.Lee, T.T. and Liao, J.H., “Trajectory Planning and Control of a 3-Link Biped RobotProc. IEEE Int. Conf. on Robotics and Automation 2 (1988) pp. 820823.Google Scholar
15.Shih, C.L., Li, Y.Z., Churng, S., Lee, T.T. and Graver, W.A., “Trajectory Synthesis and Physical Admissibility for a Biped Robot During the Single-Support PhaseProc. IEEE Int. Conf. on Robotics and Automation 3 (1990) pp. 16461652.Google Scholar
16.Kawaji, S. and Sawada, K., “Dynamical Walk of Biped Locomotion Robot with Characteristic RhythmProc. JAPAN/USA Symposium on Flexible Automation ASME 1 (1992) pp. 745752.Google Scholar
17.Channon, P.H., Hopkins, S.H. and Pham, D.T., “Derivation of optimal walking motions for a bipedal walking robotRobotica 10, Part 2, 165172 (1992).Google Scholar