A parametric optimization approach to walking pattern synthesis

International Journal of Robotics Research

Volumn 24, Issue 7, 2005, Pages 523-536

  Bessonnet, G ^a   Seguin, P ^a   Sardain, P ^a  

^a SP2MI   (France)

Author keywords

Dynamics based optimization; Spline based parametric optimization; Walking pattern synthesis

Indexed keywords

APPROXIMATION THEORY; GAIT ANALYSIS; KINEMATICS; MATHEMATICAL PROGRAMMING; OPTIMIZATION; REAL TIME SYSTEMS; ROBOTS; TORQUE;

DYNAMICS-BASED OPTIMIZATION; GAIT CYCLES; SPLINE-BASED PARAMETRIC OPTIMIZATION; WALKING PATTERN SYNTHESIS;

ROBOTICS;

EID: 22044445845     PISSN: 02783649     EISSN: None     Source Type: Journal    
DOI: 10.1177/0278364905055377     Document Type: Conference Paper

References (33)

1. Beletskii, V.-V., Berbyuk, V.-E., and Samsonov, V.-A. 1982. Parametric optimization of motions of a bipedal walking robot. Izv. AN SSSR. Mekhanika Tvergodo Tela 17(1):28-40.
2. Bessonnet, G., Sardain, P., and Chessé, S. 2002. Optimal mo tion synthesis - dynamic modelling and numerical solving aspects. Multibody System Dynamics 8:257-278.
3. Bessonnet, G., Chessé, S., and Sardain, P. 2004. Optimal gait synthesis of a seven-link planar biped. International Journal of Robotics Research 33(10, 11): 1059-1073.
4. Blajer, W. and Schiehlen, W. 1992. Walking without impacts as a motion/force control problem. ASME Journal of Dynamic Systems, Measurement, and Control 114:660-665.
5. Channon, P.-H., Hopkins, S.-H., and Pham, D.-T. 1992. Derivation of optimal walking motions for bipedal walking robot. Robotica 10:165-172.
6. Chessé, S. and Bessonnet, G. 2001. Optimal dynamics of constrained multibody systems. Application to bipedal walking synthesis. Proceedings of the IEEE International Conference on Robotics and Automation, Seoul, Korea, pp. 2499-2505.
7. Chevallereau, C. and Aoustin, Y. 2001. Optimal reference trajectories for walking and running of a biped robot. Robotica 19:557-569.
8. Chew, C.-M. and Pratt G.-A. 2003. Frontal plane algorithms for dynamic bipedal walking. Proceedings of the IEEE International Conference on Robotics and Automation, Taipei, Taiwan, pp. 45-50.
9. Chow, C.-K. and Jacobson, D.-H. 1971. Studies of human locomotion via optimal programming. Mathematical Biosciences 10:239-306.
10. Coleman, T., Branch, M.-A., and Grace, A. 1999. Optimization toolbox. For use with MATLAB®. The Math Works Inc.
11. Fletcher, R. 1987. Practical Methods of Optimization, 2nd edition, Wiley, New York.
12. Gill, P.-E., Murray, W., and Wright, M.-H. 1981. Practical Optimization, Academic Press, New York.
13. Hirai, K., Hirose, M., Haikawa, Y., and Takenaka, T. 1998. The development of Honda Humanoid Robot. Proceedings of the IEEE International Conference on Robotics and Automation, Leuven, Belgium, pp. 160-165.
14. Hirukawa, H., Kanehiro, F., Kajita, S., Fujiwara, K., Yokoi, K., Kaneko, K., and Harada, K. 2003. Experimental evaluation of the dynamics simulation of biped walking of humanoid robots. Proceedings of the IEEE International Conference on Robotics and Automation, Taipei, Taiwan, pp. 1640-1645.
15. Huang, Q., Yokoi, K., Kajita, S., Kaneko, K., Arai, H., Koyachi, N., and Tanie, K. 2001. Planning walking patterns for a biped robot. IEEE Transactions on Robotics and Automation 17(3):280-289.
16. Kajita, S., Matsumoto, O., and Saigo, M. 2001. Real-time 3D walking pattern generation for a biped robot with telescopic legs. Proceedings of the IEEE International Conference on Robotics and Automation, Seoul, Korea, pp. 2299-2306.
17. Kajita, S., Kanehiro, F., Kaneko, K., Fujiwara, K., Harada, K., Yokoi, K., and Hirukawa, H. 2003. Biped walking pattern generation by using preview control of zero-moment point. Proceedings of the IEEE International Conference on Robotics and Automation, Taipei, Taiwan, pp. 1620-1626.
18. Kanehiro, F., Hirukawa, H., and Kajita, S. 2004. Open HRP: open architecture humanoid robotics platform. International Journal of Robotics Research 23(2): 155-165.
19. Löffler, K., Gienger, M., and Pfeiffer, F. 2003. Sensors and control concept of walking "Johnnie". International Journal of Robotics Research 22(3-4):229-239.
20. Mitobe, K., Capi, G., and Nasu, Y. 2000. Control of walking robots based on manipulation of the zero moment point. Robotica 18:651-657.
21. Muraro, A., Chevallereau, C., and Aoustin, Y. 2003. Optimal trajectories for a quadruped robot with trot, amble and curvet gaits for two energetic criteria. Multibody System Dynamics 9:39-62.
22. Pfeiffer, F., Löffler, K., and Gienger, M. 2003. Humanoids robots. Proceedings of the 6th International Conference on Climbing and Walking Robots, Catania, Italy, pp. 505-516.
23. Pratt, J.-E. and Pratt, G.-A. 1999. Exploiting natural dynamics in the control of a 3D bipedal walking simulation. Proceedings of the International Conference on Climbing and Walking Robots, Portsmouth, UK, pp. 797-807.
24. Rostami, M. and Bessonnet, G. 2001. Sagittal gait of a biped robot during the single support phase. Part 2: optimal motion. Robotica 19:241-253.
25. Saidouni, T. and Bessonnet, G. 2002. Gait trajectory optimization using approximation functions. Proceedings of the 5th International Conference on Climbing and Walking Robots, Paris, France, pp. 709-716.
26. Saidouni, T. and Bessonnet, G. 2003. Generating globally optimized sagittal gait cycles of a biped robot. Robotica 21:199-210.
27. Sardain, P., Rostami, M., and Bessonnet, G. 1998. An anthropomorphic biped robot: dynamic concepts and technological design. IEEE Transactions on Systems, Man, and Cybernetics 28:823-838.
28. Seguin, P., Bessonnet, G., and Sardain, P. 2003. Numerical synthesis of smooth optimal gait. Proceedings of the 6th International Conference on Climbing and Walking Robots, Catania, Italy, pp. 459-466.
29. Shi, C-L. 1997. Gait synthesis for a biped robot. Robotica 15:599-607.
30. Strang, G. 1980. Linear Algebra and Its Applications, 2nd edition, Academic Press, New York.
31. Tang, Z., Zhou, C., and Sun, Z. 2003. Trajectory planning for smooth transition of a biped robot. Proceedings of the IEEE International Conference on Robotics and Automation, Taipei, Taiwan, pp. 2455-2460.
32. Vukobratovic, J., Borovac, B., Surla, D., and Stokic, D. 1990. Biped Locomotion: Dynamics, Stability, Control and Applications, Springer-Verlag, Berlin.
33. Wang, G., Huang, Q., Geng, J., Deng, H., and Li, K. 2003. Cooperation of dynamic patterns and sensory reflex for humanoid walking. Proceedings of the IEEE International Conference on Robotics and Automation, Taipei, Taiwan, pp. 2472-2477.