An infinitely rigid unitary mass (particle) is considered, moving on a planar region delimited by a rigid elliptical barrier (elliptical billiards) under the action of proper control forces. A class of periodic trajectories, involving an infinite sequence of nonsmooth impacts between the mass and the barrier at fixed times, is found by using an LMIs based procedure and a tracking problem is stated and solved by means of a controller whose state is subject to jumps.
Galeani, S., Menini, L., Potini, A., Tornambe', A. (2007). Asymptotic tracking of periodic trajectories for a particle in an elliptical billiards. In 2007 American control conference, ACC '07 (pp.1882-1887). New York : IEEE [10.1109/ACC.2007.4282450].
Asymptotic tracking of periodic trajectories for a particle in an elliptical billiards
GALEANI, SERGIO;MENINI, LAURA;Potini, A;TORNAMBE', ANTONIO
2007-07-01
Abstract
An infinitely rigid unitary mass (particle) is considered, moving on a planar region delimited by a rigid elliptical barrier (elliptical billiards) under the action of proper control forces. A class of periodic trajectories, involving an infinite sequence of nonsmooth impacts between the mass and the barrier at fixed times, is found by using an LMIs based procedure and a tracking problem is stated and solved by means of a controller whose state is subject to jumps.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
