  The internal control problem for the Kadomstev-Petviashvili II equation,
known as KP-II, is the object of study in this paper. The controllability in
$L^2(T)$ from vertical strip is proved using the Hilbert Unique Method through
the techniques of semiclassical and microlocal analysis. Additionally, a
negative result for the controllability in $L^2(T)$ from horizontal strip is
also showed.
