  In this second part we prove that the full nonlinear fluid-solid system
introduced in Part I is stabilizable by deformations of the solid that have to
satisfy nonlinear constraints. Some of these constraints are physical and
guarantee the self-propelled nature of the solid. The proof is based on the
boundary feedback stabilization of the linearized system. From this boundary
feedback operator we construct a deformation of the solid which satisfies the
aforementioned constraints and which stabilizes the nonlinear system. The proof
is made by a fixed point method.
