Rhythmic stabilization of periodic orbits in a wedge

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 16, Issue , 2005, Pages 520-525

  Gerard, Manuel ^a   Sepulchre, Rodolphe ^a  

^a UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

Billiard; Discrete time; Juggling; Rhythmic feedback control

Indexed keywords

CONTROL THEORY; FEEDBACK CONTROL; STATE FEEDBACK;

BASIN OF ATTRACTION; BILLIARD; DISCRETE TIME; JUGGLING; OUTPUT FEEDBACK; PERIODIC ORBITS; STABILIZING STATE; STATE ESTIMATORS;

STABILIZATION;

EID: 79960704074     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20050703-6-cz-1902.00742     Document Type: Conference Paper

References (7)

1. B. Brogliato. Nonsmooth Mechanics: Models, Dynamics and Control. Springer-Verlag, 1999.
2. M. Buehler, D.E. Koditschek, and P.J. Kindlmann. Planning and control of robotic juggling and catching tasks. International Journal of Robotics Research, 13(2):101-118, April 1994.
3. M. Gerard and R. Sepulchre. Stabilization through weak and occasional interactions: a billiard benchmark. In IFAC NOLCOS 2004, pages 73-78, Stuttgart, Germany, 2004.
4. Lehtihet, H. E. Miller and B. N. Numerical study of a billiard in a gravitational field. Physica, 21D:93-104, 1986.
5. L. Menini and A. Tornambé. Control of (otherwise) uncontrollable linear mechanical systems through non-smooth impacts. Systems and Control Letters, 49:311-322, 2003.
6. M.J. Messina, S.E. Tuna, and A.R. Teel. Output feedback stabilization by certainty equivalence mpc. submitted to Elsevier Science, pages -, 2003.
7. R. Ronsse and R. Sepulchre. Open-loop stabilization of 2d impact juggling. In IFAC NOLCOS 2004, pages 1157-1162, Stuttgart, Germany, 2004.