  In this paper, we discuss an approximation strategy for solving the Linear
Quadratic Tracking that is both forward and local in time. We exploit the known
form of the value function along with a time reversal transformation that
nicely addresses the boundary condition consistency. We provide the results of
an experimental investigation with the aim of showing how the proposed solution
performs with respect to the optimal solution. Finally, we also show that the
proposed solution turns out to be a valid alternative to model predictive
control strategies, whose computational burden is dramatically reduced.
