  Quantum tracking control aims to identify applied fields to steer the
expectation values of particular observables along desired paths in time. The
associated temporal fields can be identified by inverting the underlying
dynamical equations for the observables. However, fields found in this manner
are often plagued by undesirable singularities. In this paper we consider a
planar molecular rotor, and derive singularity-free tracking expressions for
the fields that steer the expectation of the orientation of the rotor along
desired trajectories in time. Simulations are presented that utilize two
orthogonal control electric fields to drive the orientation of the rotor along
a series of designated tracks.
