  The goal of this article is to present a local exact controllability result
for the 2 and 3-dimensional compressible Navier-Stokes equations on a constant
target trajectory when the controls act on the whole boundary. Our study is
then based on the observability of the adjoint system of some linearized
version of the system, which is analyzed thanks to a subsystem for which the
coupling terms are somewhat weaker. In this step, we strongly use Carleman
estimates in negative Sobolev spaces.
