The tracking problem for induction motor drives is considered in the paper. The main attention is devoted to the problem of unknown load torque compensation not belonging to the control space. The model of induction motor is considered in the fixed reference frame concerned with the stator. A modification of vector control principle is designed on the base of new relay control law, which is used for generation of damping oscillating modes with unlimited growth in oscillation frequency. The theoretically infinite coefficient of relay linearization enabling asymptotic invariance of the output to a wide class of external perturbations. The simulation results show the efficiency of proposed approach.