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.
American Control Conference
New York, NY
2007
Rilevanza internazionale
Settore ING-INF/04 - Automatica
English
Elliptical billiards; LMI; Nonsmooth impact; Trajectory tracking
Intervento a convegno
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].
Galeani, S; Menini, L; Potini, A; Tornambe', A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/37653
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