Abstract: The dynamical model of induction motor fed by hysteresis-band current-controlled PWM inverter is a nonlinear multivariable system with strong coupling. In this paper, the theory of feedback linearization for nonlinear systems is applied to realize linearized decoupling control for such a motor, for this controlled object, In this case the key problem is to satisfy involutive condition, Considering time deley of hysteresis band, a set of fifth-order nonlinear state equations which satisfies the involutive condition of feedback linearization is obtained, so that the lineariztaion and dynamical decoupling of rotor speed and rotor flux linkage systems are fulfilled, The regulators of these two linear subsystems can be designed with classical linear theory, Finally, an AC variable frequency speed-regulating system is formed with the nonlinear decoupling algorithm realized in 8096 single-chip microcomputer, Experimental results of the system are presented.