  The aim of this work is to show the local null controllability of a
fluid-solid interaction system by using a distributed control located in the
fluid. The fluid is modeled by the incompressible Navier-Stokes system with
Navier slip boundary conditions and the rigid body is governed by the Newton
laws. Our main result yields that we can drive the velocities of the fluid and
of the structure to 0 and we can control exactly the position of the rigid
body. One important ingredient consists in a new Carleman estimate for a linear
fluid-rigid body system with Navier boundary conditions. This work is done
without imposing any geometrical conditions on the rigid body.
