Abstract
Legged vehicles offer several advantages over wheeled vehicles, particularly over broken terrain, but are presently too slow to be advantageous for many tasks. Trotting, the precursor to galloping for many quadrupeds, employs high-speed actuation to coordinate the intermittent ground contacts for each leg. Compliant elements and high-power actuators combine to perform a complex interchange of potential and kinetic energy during these short thrust intervals. These complexities, the frictional and contact losses that occur during normal running, plus the high number of degrees of freedom make three-dimensional (3D) dynamic quadruped motion very difficult to model accurately for control. For this reason, most of the research effort has been focused on simplified planar systems, only allowing motion in the sagittal plane. Many of these controllers only perform well around a fixed operating point and cannot regulate heading for desired changes in running direction. A 3D trotting controller which overcomes the above problems is presented here. Simulation results show the system responding appropriately to changes in the desired speed up to 3 m/s and heading up to 20 deg/s.
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References
M. Buehler, R. Battaglia, A. Cocosco, G. Hawker, J. Sarkis, and K. Yamazaki, “SCOUT: A simple quadruped that walks, climbs, and runs,” in Proceedings of the IEEE International Conference on Robotics and Automation, (Leuven, Belgium), pp. 1707–1712, 1998.
M. D. Berkemeier, “Modeling the dynamics of quadrupedal running,” International Journal of Robotics Research, vol. 17, pp. 971–985, September 1998.
A. Neishtadt and Z. Li, “Stability proof of Raibert’s four-legged hopper in bounding gait,” Tech. Rep. 578, New York University, September 1991.
P. P. Gambarian, How Mammals Run. New York: John Wiley & Sons, 1974.
P. Nanua and K. J. Waldron, “Energy comparison between trot, bound, and gallop using a simple model,” Journal of Biomechanical Engineering, vol. 117, pp. 466–473, November 1995.
H. M. Herr and T. A. McMahon, “A trotting horse model,” International Journal of Robotics Research, vol. 19, pp. 566–581, June 2000.
M. H. Raibert, “Trotting, pacing, and bounding by a quadruped robot,” Journal of Biomechanics, vol. 23,suppl. 1, pp. 79–98, 1990.
J. G. Nichol, S. P. Singh, K. J. Waldron, L. R. Palmer III, and D. E. Orin, “System design of a quadrupedal galloping machine,” International Journal of Robotics Research, vol. 23, no. 10–11, pp. 1013–1027, 2004.
D. V. Lee, J. E. A. Bertram, and R. J. Todhunter, “Acceleration and balance in trotting dogs,” Journal of Experimental Biology, vol. 202, pp. 3565–3573, 1999.
R. J. Vaccaro, Digital Control: A State-Space Approach. New York: McGraw-Hill, Inc, 1995.
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© 2006 Springer-Verlag Berlin Heidelberg
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Palmer, L.R., Orin, D.E. (2006). Control of a 3D Quadruped Trot. In: Tokhi, M.O., Virk, G.S., Hossain, M.A. (eds) Climbing and Walking Robots. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26415-9_19
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DOI: https://doi.org/10.1007/3-540-26415-9_19
Publisher Name: Springer, Berlin, Heidelberg
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