A controller for an induction motor is designed using H_∞ control theory and input-output feedback linearization. Because of the special structure of the state-space equations governing the induction motor a Linear Parameter Varying (LPV) feedback controller, scheduled with rotor speed, is used for the inner current loop. An LPV observer is also used to estimate the flux vector. The application is based on the nonlinear model and tracking requirements of a recently published benchmark. The proposed controller delivers high performance over the entire operating range of the induction motor.