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 21st IFAC World Congress (pp.6195-6200). Amsterdam : 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.| File | Dimensione | Formato | |
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