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Article contents

Stability of biped robotic walking with frictional constraints

Published online by Cambridge University Press:  19 October 2012

Xuefeng Zhou
Affiliation:
Biomimetic and Intelligent Robotics Lab (BIRL), School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, Guangdong 510640, China
Yisheng Guan*
Affiliation:
Biomimetic and Intelligent Robotics Lab (BIRL), School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, Guangdong 510640, China
Li Jiang
Affiliation:
Biomimetic and Intelligent Robotics Lab (BIRL), School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, Guangdong 510640, China
Haifei Zhu
Affiliation:
Biomimetic and Intelligent Robotics Lab (BIRL), School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, Guangdong 510640, China
Chuanwu Cai
Affiliation:
Biomimetic and Intelligent Robotics Lab (BIRL), School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, Guangdong 510640, China
Wenqiang Wu
Affiliation:
Biomimetic and Intelligent Robotics Lab (BIRL), School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, Guangdong 510640, China
Hong Zhang
Affiliation:
Biomimetic and Intelligent Robotics Lab (BIRL), School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, Guangdong 510640, China
*Corresponding
*Corresponding author. e-mail: ysguan@scut.edu.cn

Summary

Tipping-over and slipping, which are related to zero moment point (ZMP) and frictional constraint respectively, are the two most common instability forms of biped robotic walking. Conventional criterion of stability is not sufficient in some cases, since it neglects frictional constraint or considers translational friction only. The goal of this paper is to fully address frictional constraints in biped walking and develop corresponding stability criteria. Frictional constraints for biped locomotion are first analyzed and then the method to obtain the closed-form solutions of the frictional force and moment for a biped robot with rectangular and circular feet is presented. The maximum frictional force and moment are calculated in the case of ZMP at the center of contact area. Experiments with a 6-degree of freedom active walking biped robot are conducted to verify the effectiveness of the stability analysis.

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Articles
Copyright
Copyright © Cambridge University Press 2012 

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References

1.Chiou, S., Bhattacharya, A., Lai, C. and Succop, P., “Effects of environmental and job-task factors on workers’ gait characteristics on slippery surfaces,” Occup. Ergono. 3, 209223 (2003).Google Scholar
2.Dahmen, S. R., Hinrichsen, H., Lysov, A. and Wolf, D. E., “Coupling between static friction force and torque for a tripod,” J. Stat. Mech. Theory Exp. 3, 17 (2005).Google Scholar
3.Goswami, A., “Postural stability of biped robots and the foot-rotation indicator (FRI) point,” Int. J. Robot. Res. 18 (6), 523533 (1999).CrossRefGoogle Scholar
4.Goyal, S. and Ruina, A., “Planar sliding with dry friciton. Part 1. Limit surface and moment funciton,” Wear 143, 307330 (1991).CrossRefGoogle Scholar
5.Goyal, S. and Ruina, A., “Planar sliding with dry friciton. Part 2. Dynamics of motion,” Wear 143, 331352 (1991).CrossRefGoogle Scholar
6.Guan, Y., Zhou, X., Zhu, H., Jiang, L., Cai, C., Zhang, X. and Zhang, H., “A Novel 6-DoF Biped Walking Robot – Walking Gaits, Patterns and Experiments. In: Proceedings of the IEEE International Conference on Robotics and Automation, Shanghai, China (2011) pp. 35423547.Google Scholar
7.Harada, K., Kajita, S., Kanehiro, F. and Hirukawa, H., “ZMP Analysis for Arm/Leg Coordination,” In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Las Vegas, USA (2003) pp. 7581.Google Scholar
8.Hirukawa, H., Hattori, S. and Harada, K., Kajita, S., Kaneko, K., Kanehiro, F., Fujiwara, K. and Morisawa, M., “A Universal Stability Criterion of the Foot Contact of legged Robots – Adios ZMP,” In: Proceedings of the IEEE International Conference on Robotics and Automation, Orlando, USA (2006) pp. 19761983.Google Scholar
9.Howe, R. D. and Cutkosky, M. R., “Practical force-motion models for sliding manipulation,” Int. J. Robot. Res. 15 (6), 557572 (1996).CrossRefGoogle Scholar
10.Kajita, S., Kaneko, K., Harada, K., Kanehiro, F., Fujiwara, K. and Hirukawa, H., “Biped Walking on a Low Friction Floor,” In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Sendai, Japan (2004) pp. 35463552.Google Scholar
11.Kajita, S., Hirukawa, H., Yokoi, K. and Harada, K., Humanoid Robots (in Japanese, Ohmsha, Tokyo, Japan, 2005; also in Chinese, Tsinghua University Press, Beijing, China, 2007).Google Scholar
12.Ota, Y., Tamaki, T. and Yoneda, K. and Hirose, S., “Development of Walking Manipulator with Versatile locomotion,” In: Proceedings of the IEEE International Conference on Robotics and Automation, Taipei, Taiwan (2003) pp. 477483.Google Scholar
13.Pang, J. and Trinkle, J., “Stability characterizations of rigid body contact problems with Coulomb friction,” Zeitshrift fur Angewandte Mathmatik und Mechanik 80, 643663 (2000).3.0.CO;2-E>CrossRefGoogle Scholar
14.Sardain, P. and Bessonnet, G., “Forces acting on a biped robot. Center of pressure-zero moment point,” IEEE Trans. Syst. Man Cybern. A: Syst. Humans 34 (5), 630637 (2004).CrossRefGoogle Scholar
15.Siciliano, B. and Khatib, O., Springer Handbook of Robotics. Part 27 Contact Modeling and Manipulation (Springer, Berlin, Germany, 2008).CrossRefGoogle Scholar
16.Trinkle, J., Pang, J., Sudarsky, S. and Lo, G., “On dynamic multi-rigid-body contact problems with Coulomb friction,” Zeitshrift fur Angewandte Mathmatik und Mechanik 77, 269279 (1997).Google Scholar
17.Vukobratovic, M. and Borovac, B., “Zero-moment point – thirty five years of its life,” Int. J. Humanoid Robot 1 (1), 157173 (2004).CrossRefGoogle Scholar
18.Vukobratovic, M., Borovac, B., Surla, D. and Stokic, D., Biped Locomotion: Dynamics, Stability, Control and Applicarion (Springer-Verlag, Berlin, Germany, 1990).CrossRefGoogle Scholar
19.Vukobratovic, M. and Stepanenko, J., “On the stability of anthropomorphic systems,” Math. Biosci. 15 (1), 137 (1972).CrossRefGoogle Scholar
20.Yoneda, K. and Hirose, S., “Tumble Stability Criterion of Integrated Locomotion and Manipulation,” In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Osaka, Japan (1996) pp. 103105.Google Scholar
21.Zhou, X., Guan, Y., Cai, C., Jiang, L., Zhu, H. and Zhang, X., “Modeling and Planning for Stable Walking of a Novel 6-DoF Biped Robot,” In: Proceedings of the IEEE International Conference on Robotics and Biomimetics, Tianjin, China (2010) pp. 712.Google Scholar
22.Zhu, C. and Kawamura, A., “What is the Real Frictional Constraint in Biped Walking? – Discussion on Frictional Slip with Rotation,” In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Beijing, China (2006) pp. 57625768.Google Scholar
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