1. A hybridization device ( 1 ) comprising: a virtual platform ( 2 ), a bank ( 3 ) of Kalman filters each estimating a correction vector (dX 0 -dXn),each correction vector comprising a plurality of components, the device delivering a hybrid output (SH) corresponding to inertial measurements (PPVI) calculated by the virtual platform ( 2 ) and corrected by a stabilization vector (dC), the stabilization vector (dC) comprising as many components as the correction vectors so that each component of the stabilization vector has a corresponding component in each of the correction vectors (dX 0 -dXn), a module for formulating the correction ( 4 ) configured so as to compute each of the components (dc[state]) of the stabilization vector (dC) as a function of the set of components (dC[state]-dXn[state]) in the correction vectors (dX 0 -dXn) estimated by the bank of Kalman filters.