Asymptotically stable gait primitives for planning dynamic bipedal locomotion in three dimensions

Proceedings - IEEE International Conference on Robotics and Automation

Volumn , Issue , 2010, Pages 1695-1702

  Gregg, Robert D ^a   Bretl, Timothy ^a   Spong, Mark W ^b  

^a University of Illinois at Urbana Champaign   (United States)

^b The University of Texas at Dallas   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY ORDER; ASYMPTOTICALLY STABLE; BIPEDAL LOCOMOTION; BIPEDAL ROBOT; CONSTANT CURVATURE; DYNAMIC WALKING GAIT; EQUILIBRIUM CONSTRAINT; FIXED NUMBERS; THREE DIMENSIONS; WALKING PATHS; ZERO MOMENT POINT;

ASYMPTOTIC ANALYSIS; BIPED LOCOMOTION; ROBOTS;

ROBOTICS;

EID: 77955822402     PISSN: 10504729     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ROBOT.2010.5509585     Document Type: Conference Paper

References (31)

1. T. Alpcan and T. Basar, "A stability result for switched systems with multiple equilibria," Dynamics of Continuous, Discrete and Impulsive Systems, 2009, under review.
2. A. D. Ames, R. D. Gregg, and M. W. Spong, "A geometric approach to three-dimensional hipped bipedal robotic walking," in Conf. on Decision and Control, New Orleans, LA, 2007.
3. R. Burridge, A. Rizzi, and D. Koditschek, "Sequential composition of dynamically dexterous robot behaviors," Int. J. of Robotics Res., vol. 18, no. 6, pp. 534-555, 1999.
4. S. H. Collins and A. Ruina, "A bipedal walking robot with efficient and human-like gait," in Int. Conf. on Robotics and Automation, Barcelona, Spain, 2005.
5. G. Courtine and M. Schieppati, "Human walking along a curved path. I. body trajectory, segment orientation and the effect of vision," European J. of Neuroscience, vol. 18, no. 1, pp. 177-190, 2003.
6. L. E. Dubins, "On curves of minimal length with a constraint on average curvature, and with prescribed initial and terminal positions and tangents," Amer. J. of Math., vol. 79, no. 3, pp. 497-516, 1957.
7. E. Frazzoli, M. A. Dahleh, and E. Feron, "Maneuver-based motion planning for nonlinear systems with symmetries," IEEE Trans. on Robotics, vol. 21, no. 6, pp. 1077-1091, 2005.
8. A. Goswami, B. Thuilot, and B. Espiau, "Compass-like biped robot part I: Stability and bifurcation of passive gaits," Institut National de Recherche en Informatique et en Automatique, Tech. Rep. 2996, 1996.
9. R. D. Gregg and M. W. Spong, "Bringing the compass-gait bipedal walker to three dimensions," in Int. Conf. on Intelligent Robots and Systems, St. Louis, MO, 2009.
10. -, R. D. Gregg and M. W. Spong, "Reduction-based control of branched chains: Application to three-dimensional bipedal torso robots," in Conf. on Decision and Control, Shanghai, China, 2009.
11. -, R. D. Gregg and M. W. Spong, "Reduction-based control of three-dimensional bipedal walking robots," Int. J. of Robotics Res., Accepted 2009, pre-print.
12. K. Hauser, T. Bretl, J.-C. Latombe, K. Harada, and B. Wilcox, "Motion planning for legged robots on varied terrain," Int. J. of Robotics Res., vol. 27, no. 11-12, pp. 1325-1349, 2008.
13. D. Hobbelen and M. Wisse, "Limit cycle walking," in Humanoid Robots: Human-like Machines. Vienna, Austria: I-TECH, 2007.
14. J. K. Holm, D. Lee, and M. W. Spong, "Time-scaling trajectories of passive-dynamic bipedal robots," in Int. Conf. on Robotics and Automation, Roma, Italy, 2007.
15. J. Kuffner, K. Nishiwaki, S. Kagami, M. Inaba, and H. Inoue, "Motion planning for humanoid robots," in Robotics Research. Springer, 2005.
16. J. J. Kuffner-Jr., S. Kagami, K. Nishiwaki, M. Inaba, and H. Inoue, "Dynamically-stable motion planning for humanoid robots," Autonomous Robots, vol. 1, no. 12, pp. 105-118, 2002.
17. A. D. Kuo, "Stabilization of lateral motion in passive dynamic walking," Int. J. of Robotics Res., vol. 18, no. 9, pp. 917-930, 1999.
18. -, A. D. Kuo, "Choosing your steps carefully: walking and running robots," IEEE Robotics and Automation Mag., vol. 14, no. 2, pp. 18-29, 2007.
19. S. M. LaValle and J. J. Kuffner-Jr., "Randomized kinodynamic planning," Int. J. of Robotics Res., vol. 20, no. 5, pp. 378-400, 2001.
20. W. R. Leonard and M. L. Robertson, "Energetic efficiency of human bipedality," Amer. J. of Phys. Anthro., vol. 97, pp. 335-338, 1995.
21. D. Liberzon, Switching in Systems and Control. Springer, 2003.
22. I. R. Manchester, U. Mettin, F. Iida, and R. Tedrake, "Stable dynamic walking over rough terrain: Theory and experiment," Int. Symp. on Robotics Research, 2009.
23. T. McGeer, "Passive dynamic walking," Int. J. of Robotics Res., vol. 9, no. 2, pp. 62-82, 1990.
24. S. Ramamoorthy and B. Kuipers, "Trajectory generation for dynamic bipedal walking through qualitative model based manifold learning," in Int. Conf. on Robotics and Automation, 2008, pp. 359-366.
25. C. Shih, J. W. Grizzle, and C. Chevallereau, "From stable walking to steering of a 3D bipedal robot with passive point feet," IEEE Trans. Systems, Man, and Cybernetics, B, 2009, under review.
26. R. Sinnet and A. D. Ames, "3D bipedal walking with knees and feet: A hybrid geometric approach," in Conf. on Decision and Control, Shanghai, China, 2009.
27. K. Steudel, "Limb morphology, bipedal gait, and the energetics of hominid locomotion," Amer. J. of Phys. Anthro., vol. 99, 1996.
28. U. Topcu, A. Packard, and P. Seiler, "Local stability analysis using simulations and sum-of-squares programming," Automatica, vol. 44, no. 10, pp. 2669-2675, 2008.
29. E. R. Westervelt, J. W. Grizzle, C. Chevallereau, J. H. Choi, and B. Morris, Feedback Control of Dynamic Bipedal Robot Locomotion. New York, New York: CRC Press, 2007.
30. Wikipedia, 2006, http://en.wikipedia.org/wiki/Sagittal plane.
31. E. Yoshida, C. Esteves, I. Belousov, J.-P. Laumond, T. Sakaguchi, and K. Yokoi, "Planning 3-D collision-free dynamic robotic motion through iterative reshaping," IEEE Trans. on Robotics, vol. 24, no. 5, pp. 1186-1198, 2008.