2004 • Conference Paper
Open-loop stabilization of 2D impact juggling
Authors:
Ronsse, Renaud,
Lefèvre, Philippe ,
Sepulchre, Rodolphe
Published in:
6th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2004)
Volume: 3 • Number: - • Pages: 1157-62
The paper studies the properties of a sinusoidally vibrating wedge billiard as a model for 2D impact juggling. It is shown that some periodic orbits that are unstable in the elastic fixed wedge become exponentially stable in the (non-)elastic vibrating wedge. These orbits are linked with some classical juggling patterns, providing an interesting benchmark for the study of the frequency-locking properties in human rhythmic tasks.