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The chapter 1 describes a new dead-beat (one sampling time response) control law for three-phase induction machines, based on the motor discrete-time state-space equation system of non-salient pole machines, using the eigenvalues of the transition matrix. The algebraic calculation of the control voltage vector takes account of motor parameters, of stator current measures, of torque, rotor flux and stator current set-points, and of torque, voltage, flux and current limits. A real-time implementation of algorithms is proposed with a Kalman observer. The total uncoupling between torque and rotor flux controls is shown, as well as the torque accuracy and dynamics. The PWM and sampling periods can be chosen regardless of control law, in order to optimize inverter switching frequency and motor current shape factor.