In this paper, a position feedback controller is proposed to solve the tracking problem in rectangular billiards. Such a controller is obtained by transforming the billiard table into a surface on which the ball moves without experiencing any impact, i.e., by reflecting the billiard table rather than the ball trajectory, and designing a position feedback controller based on such an unfolded billiard table. Furthermore, it is shown how such an infinite billiard table can be mapped to the surface of a torus, thus leading to bounded trajectories of the ball.
Menini, L., Possieri, C., Tornambe', A. (2020). Trajectory tracking in rectangular billiards by unfolding the billiard table. In IFAC-PapersOnLine (pp.6195-6200). RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS : Elsevier B.V. [10.1016/j.ifacol.2020.12.1712].
Trajectory tracking in rectangular billiards by unfolding the billiard table
Menini L.;Possieri C.;Tornambe' A.
2020-01-01
Abstract
In this paper, a position feedback controller is proposed to solve the tracking problem in rectangular billiards. Such a controller is obtained by transforming the billiard table into a surface on which the ball moves without experiencing any impact, i.e., by reflecting the billiard table rather than the ball trajectory, and designing a position feedback controller based on such an unfolded billiard table. Furthermore, it is shown how such an infinite billiard table can be mapped to the surface of a torus, thus leading to bounded trajectories of the ball.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
