An optimality principle governing human walking

IEEE Transactions on Robotics

Volumn 24, Issue 1, 2008, Pages 5-14

  Arechavaleta, Gustavo ^a   Laumond, Jean Paul ^a   Hicheur, Halim ^b   Berthoz, Alain ^b  

^a UNIVERSITÉ DE TOULOUSE   (France)

^b CNRS   (France)

Author keywords

Biological motor systems; Optimal control

Indexed keywords

BIOLOGICAL SYSTEMS; OPTIMIZATION; ROBOTICS;

BIOLOGICAL MOTOR SYSTEMS; HUMAN LOCOMOTOR TRAJECTORIES; STEREOTYPED TRAJECTORIES;

OPTIMAL CONTROL SYSTEMS;

EID: 40949104854     PISSN: 15523098     EISSN: None     Source Type: Journal    
DOI: 10.1109/TRO.2008.915449     Document Type: Article

References (43)

1. G. Arechavaleta, J.-P. Laumond, H. Hicheur, and A. Berthoz, "The non-holonomic nature of human locomotion: A modeling study," presented at the 1st IEEE/RAS-EMBS Int. Conf. Biomed. Robot. Biomechatronics, Pisa, Italy, 2006.
2. G. Arechavaleta, J.-P. Laumond, H. Hicheur, and A. Berthoz, "Optimizing principles underlying the shape of trajectories in goal oriented locomotion for humans," in Proc. IEEE/RAS Int. Conf. Humanoid Robots Genoa, Italy, 2006, pp. 131-136.
3. A. Bellaiche and J.-J. Risler, Eds., SubRiemannian Geometry (Progress in Mathematics), vol. 144. Basel, Switzerland: Birkhauser, 1996.
4. N. I. Bernstein, The Coordination and Regulation of Movements. New York: Pergamon, 1967.
5. B. Bonnard and M. Chyba, Singular Trajectories and Their Role in Control Theory. New York: Springer-Verlag, 2003.
6. D. Balkcom and M. Mason, "Time optimal trajectories for bounded velocity differential drive vehicles," Int. J. Robot. Res., vol. 21, no. 3, pp. 199-217, 2002.
7. D. Balkcom, P.-A. Kavathekar, and M. Mason, "Fastest trajectories for an onmi-directional vehicle," presented at the Int. Workshop Algorithmic Found. Robot., New York, Jul. 16-18, 2006.
8. J.-D. Boissonnat, A. Cerezo, and J. Leblong, "A note on shortest paths in the plane subject to a constraint on the derivative of the curvature," INRiA Nice-Sophia-Antipolis, France, Res. Rep. 2160, 1994.
9. M. Delingette, M. Herbert, and K. Ikeuchi, "Trajectory generation with curvature contraint based on energy minimization," in Proc. IEEE Int. Workshop Intell. Robots Syst., Osaka, Japan, Nov. 1991, vol. 1, pp. 206-211.
10. A. De Luca, G. Oriolo, and C. Samson, "Feedback control of a non-holonomic car-like robot," in Robot Motion Planning and Control J. P. Laumond, Ed. Lectures Notes in Control and Information Sciences, vol. 29. New York: Springer-Verlag, 1998.
11. W. E. Dixon, M. Dawson Darren, E. Zergeroglu, A. Behal, and W. E. Dixon, Nonlinear Control of Wheeled Mobile Robots. New York: Springer-Verlag, 2001.
12. 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. Math., vol. 79, pp. 497-516, 1957.
13. C. Fernandes, L. Gurvits, and Z. Li, "Near-optimal nonholonomic motion planning for a system of coupled rigid bodies," IEEE Trans. Autom. Control, vol. 39, no. 3, pp. 450-463, Mar. 1994.
14. T. Flash and N. Hogan, "The coordination of arm movements: An experimentally confirmed mathematical model," J. Neurosci., vol. 5, pp. 1688-1703, 1985.
15. P. M. Fitts, "The information capacity of the human motor system in controlling the amplitude of movements," J. Exp. Psychol., vol. 47, pp. 381-391, 1954.
16. S. Fleury, P. Soueres, J. P. Laumond, and R. Chatila, "Primitives for smoothing mobile robot trajectories," in Proc. IEEE Int. Conf. Robot. Autom., 1993, vol. 1, pp. 832-839.
17. S. Glasauer, M.-A. Amorim, I. Viaud-Delmon, and A. Berthoz, "Differential effects of labyrinthine dysfunction on distance and direction during blindfolded walking of a triangular path," Exp. Brain Res., vol. 145, no. 4, pp. 489-497, 2002.
18. R. Grasso, P. Prevost, Y. P. Ivanenko, and A. Berthoz, "Eye head coordination for the steering of locomotion in humans: An anticipatory strategy," Neurosci. Lett., vol. 253, pp. 115-118, 1998.
19. C. M. Harris and D. M. Wolpert, "Signal-dependent noise determines motor planning," Nature, vol. 394, pp. 780-784, 1998.
20. H. Hicheur, S. Glasauer, S. Vieilledent, and A. Berthoz, "Head direction control during active locomotion in humans," in Head Direction Cells and the Neural Mechanisms of Spatial Orientation, S. I. Wiener and J. S. Taube, Eds. Cambridge, MA: MIT Press, 2005, pp. 383-408.
21. H. Hicheur, S. Vieilledent, M. J. E. Richardson, T. Flash, and A. Berthoz, "Velocity and curvature inhuman locomotion along complex curved paths: A comparison with hand movements," Exp. Brain Res., vol. 162, no. 2, pp. 145-154, 2005.
22. H. Hicheur, Q.-C. Pham, G. Arechavaleta, J.-P. Laumond, and A. Berthoz, "The formation of trajectories during goal-oriented locomotion in humans I: A stereotyped behaviour," Eur. J. Neurosci., vol. 26, no. 8, pp. 2376-2390, 2007.
23. S. Iida and S. Yuta, "Vehicle command system and trajectory control for autonomous mobile robots," in Proc. IEEE/RSJ Int. Workshop Intell. Robots Syst., Osaka, Japan, Nov. 1991, vol. 1, pp. 212-217.
24. Y. Kanayama and B. Hartman, "Smooth local planning for autonomous vehicles," in Proc. IEEE Int. Conf. Robot. Autom., May 1989, vol. 3, pp. 1265-1270.
25. Y. Kanayama and N. Miyake, "Trajectory generation for mobile robots," in Robotics Research, vol. 3, G. Giralt and O. Faugeras, Eds. Boston, MA: MIT Press, 1986.
26. F. Lacquaniti, C. Terzuolo, and P. Viviani, "The law relating the kinematic and figural aspects of drawing movements," Acta Psychol. vol. 54, pp. 115-130, 1983.
27. J.-P. Laumond, S. Sekhavat, and F. Lamiraux, "Guidelines in nonholonomic motion planning for mobile robots," in Robot Motion Planning and Control, J. P. Laumond, Ed. Lectures Notes in Control and Information Sciences, vol. 229. New York: Springer-Verlag, 1998.
28. J.-P. Laumond, G. Arechavaleta, T.-V.-A. Truong, H. Hicheur, Q.-C. Pham, and A. Berthoz, "The words of the human locomotion," in Proc. 13th Int. Symp. Robot. Res., Hiroshima, Japan, 2007.
29. P. Moylan and B. Anderson, "Nonlinear regulator theory and an inverse optimal control problem," IEEE Trans. Autom. Control, vol. AC-18, no. 5, pp. 460-465, Oct. 1973.
30. A. Ng and S. Russell, "Algorithms for inverse reinforcement learning," presented at the 17th Int. Conf. Mach. Learn., San Francisco, CA, 2000.
31. L.-S. Pontryagin, V.-G. Boltyanskii, R.-V. Gamkrelidze, and E.-F. Mishchenko, The Mathematical Theory of Optimal Processes. New York: Pergamon, 1964.
32. R.-A. Reeds and R.-A. Shepp, "Optimal paths for a car that goes both forward and backwards," Pac. J. Math., vol. 145, no. 2, pp. 367-393, 1990.
33. S. S. Sastry and R. Montgomery, "The structure of optimal controls for a steering problem," in Proc. IFAC Workshop Nonlinear Control, 1992, pp. 385-390.
34. S. Schaal and D. Stemad, "Origins and violations of the 2/3 power law in rhythmic three-dimensional movements," Exp. Brain Res., vol. 136, pp. 60-72, 2000.
35. D. Shin and S. Singh, "Path generation for robot vehicles using composite clothoid segments," Robot. Inst., Carnegie Mellon Univ., Pittsburgh, PA, Tech. Rep. CMU-RI-TR-90-31, 1990.
36. P. Soueres and J.-P. Laumond, "Shortest path synthesis for a car-like robot," IEEE Trans. Autom. Control, vol. 41, no. 5, pp. 672-688, May 1996.
37. H. J. Sussmann, Ed. Nonlinear Controllability and Optimal Control. New York: Marcel Dekker, 1990.
38. E. Todorov and M. I. Jordan, "Smoothness maximization along a predefined path acccurately predicts the speed profile of complex arm movements," J. Neurophysiol., vol. 80, pp. 696-714, 1998.
39. E. Todorov, "Optimality principles in sensorimotor control," Nat. Neurosci., vol. 7, no. 9, pp. 907-915, 2004.
40. Y. Uno, M. Kawato, and R. Suzuki, "Formation and control of optimal trajectory in human multijoint arm movement: Minimum torque-change model," Biol. Cybern., vol. 61, pp. 89-101, 1989.
41. P. Viviani and T. Flash, "Minimun-jerk model, two-thirds power law, and isochrony: Converging approaches to movement planning," J. Exp. Psychol. Hum. Percept. Perform., vol. 21, pp. 32-53, 1995.
42. S. Vieilledent, Y. Kerlirzin, S. Dalbera, and A. Berthoz, "Relationship between velocity and curvature of a locomotor trajectory in human," Neurosci. Lett., vol. 305, pp. 65-69, 2001.
43. D. M. Wolpert and Z. Ghahramani, "Computational principles of movement neuroscience," Nat. Neurosci., vol. 3 Suppl., pp. 112-1217, 2000.