Abstract: In this study we study the non-linear control of an Induction Motor (IM). So we applied the technique of input-output linearization to the (IM), how is based on the differential geometry, where we can linearized the model of the (IM) which is strongly nonlinear, then we study the internal dynamics of linear system, we control separately flux and speed, finally we estimate the rotor flux and observe the reference torque. Our contribution is the exploitation of the space vector to obtain the outputs. The simulation is realised with an MLI inverter.