A control device (4) for a wide speed range induction machine (1), carrying out a control based upon a flux estimation performed by means of a Luenberger state observer (6), said induction machine (1) having a plurality of poles (p), and said Luenberger state observer (6) having an estimation error definable by means of a matrix (Ao) having a plurality of eigenvalues (po), the magnitude of each of the eigenvalues (po) of said estimation-error matrix (Ao) being correlated to the magnitude of a corresponding pole (p) of said induction machine (1);
- characterized in that the phase of each of the eigenvalues (po) of said estimation-error matrix (A0) is modified with respect to the phase of the corresponding pole (p) of said induction machine (1) according to a pre-set relation.