L. Menini et A. Tornambe, Asymptotic tracking of periodic trajectories for a simple mechanical system subject to nonsmooth impacts, IEEE AUTO C, 46(7), 2001, pp. 1122-1126
An infinitely rigid mass is considered, which moves on a plane under the ac
tion of proper control forces, within a closed region delimited by an infin
itely massive and rigid circular barrier. A suitably amended tracking probl
em for a class of periodic trajectories, involving an infinite number of no
nsmooth impacts between the mass and the barrier, is formally stated and so
lved.