1. Hybridization device ( 1 ) comprising a virtual platform ( 2 ), a bank ( 3 ) of Kalman filters each estimating a correction vector (dXO-dXn), 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), characterised in that it comprises a module for formulating the correction ( 4 ) configured so as to formulate each of the components (dC[state]) of the stabilization vector (dC) as a function of the set of corresponding components (dXO[state]-dXn[state]) of the correction vectors (dXO-dXn).