Analysis of a Simplified Hopping Robot

The International Journal of Robotics Research

Volumn 10, Issue 6, 1991, Pages 587-605

  Koditschek, Daniel E ^a   Bühler, Martin ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS - STABILITY; CONTROL, MECHANICAL VARIABLES - POSITION; DYNAMICS - OSCILLATIONS; MATHEMATICAL TECHNIQUES - ALGORITHMS; SYSTEM STABILITY - ANALYSIS;

DYNAMICALLY DEXTEROUS ROBOTS; GLOBAL STABILITY PROPERTIES; HOPPING ROBOTS; INCOMPLETELY ACTUATED ENVIRONMENTS; RAIBERT'S HOPPER; RETURN MAP;

ROBOTS;

EID: 0026372031     PISSN: 02783649     EISSN: 17413176     Source Type: Journal    
DOI: 10.1177/027836499101000601     Document Type: Article

References (26)

1. Aboaf, E.W., Drucker, S.M., and Atkeson, C.G. 1989 (Scottsdale, AZ, May). Task-level robot learning: Juggling a tennis ball more accurately. Proc. IEEE Int. Conf. Robotics and Automation, pp. 1290-1295.
2. Andersson, R.L. 1988 (Philadelphia). Aggressive trajectory generator for a robot ping-pong player. Proc. IEEE Int. Conf. Robotics and Automation, pp. 188-193.
3. Bühler, M., Koditschek, D.E., and Kindlmann, P.J. 1989. A simple juggling robot: Theory and experimentation. In Hayward, V., and Khatib, O. (eds.): Experimental Robotics I. New York: Springer-Verlag, pp. 35-73.
4. Bühler, M., Koditschek, D.E., and Kindlmann, P.J. 1989 (Tokyo, Aug.). Planning and control of robotic juggling tasks In Miura, H. (ed.): International Symposium on Robotics Research. Cambridge, MA: MIT Press, pp. 270-281.
5. Bühler, M., Koditschek, D.E., and Kindlmann, P.J. 1990. A family of robot control strategies for intermittent dynamical environments. IEEE Control Systems Magazine 10(2):16-22.
6. Bühler, M., and Koditschek, D.E. 1988 (Philadelphia, April). Analysis of a simplified hopping robot. Proc. IEEE Int. Conf. Robotics and Automation, pp. 817-819.
7. Bühler, M., and Koditschek, D.E., 1990 (Cincinnati, May). From stable to chaotic juggling: Theory, simulation, and experiments. Proc. IEEE Int. Conf. Robotics and Automation, pp. 1976-1981.
8. Collet, P., and Eckmann, J.P. 1980. Iterated Maps on the Interval as Dynamical Systems. Boston: Birkhäuser.
9. Devaney, R.L. 1987. Introduction to Chaotic Dynamical Systems. Reading, MA: Addison-Wesley.
10. Furusho, J., and Masubuchi, M. 1987. Control of a dynamical biped locomotion. In Miura, H., and Shimoyama, I. (eds.): Study on Mechanisms and Control of Bipeds. Tokyo: University of Tokyo, pp. 116-127.
11. Guckenheimer, J. 1979. Sensitive dependence to initial conditions for one dimensional maps. Communications in Mathematical Physics 70: 133-160, 1979.
12. Guckenheimer, J., and Holmes, P. 1983. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York: Springer-Verlag.
13. Guckenheimer, J., Oster, G., and Ipaktchi, A. 1977. The dynamics of density dependent population models. J. Math. Biol. 4: 101-147.
14. Hirsch, M.W., and Smale, S. 1974. Differential Equations, Dynamical Systems, and Linear Algebra. Orlando, FL: Academic Press.
15. Koditschek, D.E., and Bühler, M. 1988. Analysis of a simplified hopping robot. Technical report 8804. Center for Systems Science, Yale University.
16. Li, Z., and He, J. 1990. An energy perturbation approach to limit cycle analysis in legged locomotion systems. Proc. IEEE Int. Conf. Decision and Control
17. Mason, M.T. 1986. Mechanics and planning of manipulator pushing operations. Int. J. Robot. Res. 5(3):53-71.
18. McGeer, T. 1990. Passive dynamic walking. Int. J. Robot. Res. 9(2):62-82.
19. M'Closkey, R.T., and Burdick, J.W. 1990. On the periodic motions of a hopping robot with vertical and forward motion. Report RMS-90-05. California Inst. of Technology.
20. Miura, H., and Shimoyama, I. 1984. Dynamic walk of a biped. Int. J. Robot. Res. 3: 60-74.
21. Miura, H., Shimoyama, I., Mitsuishi, M., and Kimura, H. 1985. Dynamical walk of quadruped robot (Collie-1). In Hanafusa, H., and Inoue, H. (eds.): Int. Symp. Robot. Res. Cambridge, MA: MIT Press, pp. 317-324.
22. Raibert, M.H. 1986. Legged Robots That Balance. Cambridge, MA: MIT Press.
23. Singer, D. 1978. Stable orbits and bifurcations of maps of the interval. SIAM J. Applied Mathematics 35(2):260-267.
24. Taylor, R.H., Mason, M.T., and Goldberg, K.Y. 1987. Sensor-based manipulation planning as a game with nature. Int. Symp. on Robotics Research. Cambridge, MA: MIT Press.
25. Vakakis, A.F., and Burdick, J.W. 1990 (Cincinnati). Chaotic motions of a simplified hopping robot. Proc. IEEE Int. Conf. Robotics and Automation, pp. 1464-1469.
26. Wang, Y., and Mason, M.T. 1987 (San Francisco, April). Modeling impact dynamics for robotics operations. Proc. IEEE Int. Conf. Robotics and Automation, pp. 678-685.