Mathematical Problems in Engineering 
Volume 1 (1995), Issue 3, Pages 193-224
doi:10.1155/S1024123X95000135

Global asymptotic stability of a passive juggling strategy: A possible parts-feeding method

P. J. Swanson, R. R. Burridge, and D. E. Koditschek

Artificial Intelligence Laboratory, EECS Department, College of Engineering, University of Michigan, Ann Arbor 48105-2110, MI, USA

Abstract

In this paper we demonstrate that a passive vibration strategy can bring a one-degree-of-freedom ball to a specified periodic trajectory from all initial conditions. We draw motivation from the problem of parts feeding in sensorless assembly. We provide simulation results suggesting the relevance of our analysis to the parts feeding problem.