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Gait planning for a hopping robot

Published online by Cambridge University Press:  26 November 2014

S. S. Shabestari  and
M. R. Emami
S. S. Shabestari
Affiliation:
RWTH Aachen University, Aachen, Nordrhein-Westfalen, Germany
M. R. Emami*
Affiliation:
University of Toronto Institute for Aerospace Studies, Toronto, Ontario, Canada
*
*Corresponding author. E-mail: emami@utias.utoronto.ca
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Summary

An optimization model is developed in this paper for the joint trajectories of a hopping robot with a four-bar linkage leg. The dynamic behaviour of the one-legged robot is investigated during the stance and swing phases, and their impacts on gait planning are analysed. Certain constraints characterizing the continuous and cyclic motion of the robot are obtained. The optimization model is solved for the minimum torque and maximum velocity objective functions separately, and the results are compared with those in nature.

Keywords

Legged robotHopping robotGait planningGait optimizationMotion planning

Information

Type
Articles
Information
Robotica , Volume 34 , Issue 8 , August 2016 , pp. 1822 - 1840
Copyright
Copyright © Cambridge University Press 2014 

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References

1. Raibert, M., “Legged Robots that Balance” (MIT press, Cambridge, MA., 1986).CrossRefGoogle Scholar
2. Thompson, M. and Raibert, M., “Passive dynamic running,” Lecture Notes Control Inf. Sci. 139, 74–83 (1990).Google Scholar
3. Zeglin, G. J., “Uniroo: A One-Legged Dynamic Hopping Robot” BS Thesis (Department of Mechanical engineering, MIT press, MA., 1991).Google Scholar
4. Gregorio, P., Ahmadi, M. and Buehler, M., “Design, control, and energetics of an electrically actuated legged robot,” IEEE Trans. Syst. Man Cybern. 27, 626–634 (1997).Google Scholar
5. Ahmadi, M. and Buehler, M., “Preliminary experiments with an actively tuned passive dynamic running robot,” Experimental Robotics V, Lect. Notes Control Inf. 232, 312–324 (1998).Google Scholar
6. Ahmadi, M. and Buehler, M., “Controlled passive dynamic running experiments with the ARL-monopod II,” IEEE Trans. Robot. 22, 974–986 (2006).Google Scholar
7. Hyon, S. H., Emura, T. and Mita, T., “Dynamics-based control of a one-legged hopping robot,” Proc. Inst. Mech. Eng. I: J. Syst. Control Eng. 83–98 (2003).Google Scholar
8. Takahashi, T., Yamakita, M. and Hyon, S. H., “An optimization approach for underactuated running robot,” SICE-ICASE International Joint Conference (2006) pp. 3505–3510.Google Scholar
9. Vermeulen, J., Lefeber, D. and Verrelst, B., “Control of foot placement, forward velocity and body orientation of a one-legged hopping robot,” Robotica 21, 45–57 (2003).Google Scholar
10. Vermeulen, J., “Trajectory generation for planar hopping and walking robots: An objective parameter and angular momentum approach” Ph.D. Dissertation, Department of Mechanical engineering (Vrije Universiteit Brussel, Brussels, 2004).Google Scholar
11. Guo, Q., Macnab, C. J. B and Pieper, J. K., “Hopping on even ground and up stairs with a single articulated leg,” J. Intell. Robot. Syst. 53 (4), 331–358 (2008).Google Scholar
12. Guo, Q., Macnab, C. J. B and Pieper, J. K., “Generating efficient rigid biped running gaits with calculated take-off velocities,” Robotica 29, 627–640 (2010).CrossRefGoogle Scholar
13. Poulakakis, I. and Grizzle, J. W., “The spring loaded inverted pendulum as the hybrid zero dynamics of an asymmetric hopper,” IEEE Trans. Autom. Control 54, 1779–1793 (2009).Google Scholar
14. Hurst, J. W. and Rizzi, A., “Series compliance for an efficient running gait,” IEEE Robot. Autom. Mag. 15, 42–51 (2008).Google Scholar
15. Sreenath, K., Park, H. W., Poulakakis, I. and Grizzle, J. W., “A compliant hybrid zero dynamics controller for stable, efficient and fast bipedal walking on MABEL,” Int. J. Robot. Res.(IJRR) 30 (9), 1170–1193 (2011).Google Scholar
16. Wu, T.-Y., Yeh, T. J. and Hsu, B.-H., “Trajectory planning of a one-legged robot performing a stable hop,” Int. J. Robot. Res. 30 (8), 1072–1091 (2011).Google Scholar
17. Ragusila, V. and Emami, M. R., “A novel robotic leg design with hybrid dynamic,” J. Adv. Robot. 27 (12), 919–931 (2013).CrossRefGoogle Scholar
18. Ragusila, V. and Emami, M. R., “Modelling of a robotic leg using bond graphs,” Simul. Modelling Pract. Theory 40, 132–143 (2014).Google Scholar
19. Pratt, J. and Tedrake, R., “Velocity based stability margins for fast bipedal walking,” First Ruperto Carola Symposium in the International Science Forum of the University of Heidelberg entitled “Fast Motions in Biomechanics and Robots” (Heidelberg, Germany, 2005).Google Scholar
20. Popovic, M., Goswami, A. and Herr, H., “Ground reference points in legged locomotion: Definitions, biological trajectories and control implications,” Int. J. Robot. Res. 24 (12), 1013–1032 (2005).Google Scholar
21. Seyfarth, A., Geyer, H. and Herr, H., “Swing-leg retraction: A simple control model for stable running,” J. Exp. Biol. 206, 2547–2555 (2003).CrossRefGoogle ScholarPubMed
22. Wisse, M., Atkeson, C. G. and Kloimwieder, D. K., “Swing Leg Retraction Helps Biped Walking Stability,” Proceedings of 5th IEEE-RAS International Conference on Humanoid Robots (2005) pp. 295–300.Google Scholar
23. Westervelt, E. R., Grizzle, J. W., Chevsllereau, C., Choi, J. H. and Morris, B., Feedback Control of Dynamic Bipedal Robot Locomotion (Boca Raton: CRC Press, New York, 2007).Google Scholar
24. Chevallereau, C., Bessonnet, G., Abba, G. and Aoustin, Y., Bipedal Robots: Modelling, Design and Walking Synthesis (Wiley, New York, 2009).Google Scholar
25. Tzafestas, S., Raibert, M. and Tzafestas, C., “Robust sliding-mode control applied to a 5-link biped robot,” J. Intell. Robot. Syst. 15, 67–133 (1996).Google Scholar
26. Blau, P. J., Friction Science and Technology from Concepts to Applications (STLE: CRC Press, New York, 2009).Google Scholar
27. Farley, C. T., Glasheen, J. and McMahon, T. A., “Running springs: Speed and animal size,” J. Exp. Biol. 185, 71–86 (1993).Google Scholar
28. Alexnader, R. M. and Jayes, A. S., “A dynamic similarity hypothesis for the gaits of quadrupedal mammals,” J. Zool. 201, 135–152 (1983).CrossRefGoogle Scholar
29. Seyfartha, A., Geyera, H., Gnthera, M. and Blickhana, R., “A movement criterion for running,” J. Biomech. 35, 649–655 (2002).Google Scholar
30. Thorstensson, A. and Roberthson, H., “Adaptations to changing speed in human locomotion: Speed of transition between walking and running,” Acta Physiol. Scand. 131 (2), 211–214 (1987).Google Scholar
31. Alexander, R. M., “Optimization and gaits in the locomotion of vertebrates,” Physiol. Rev. 69 (4), 1199–1227 (1989).Google Scholar