A mathematical model of induction motor (IM) based on the second Kirchhoff’s law with Maxwell’s equation taken into account has been developed. A mathematical model of a three-phase induction motor with a short-circuited rotor in phase axes without taking into account saturation of the magnetic circuit and losses in steel has been obtained. The advantage of the considered mathematical description of electromechanical energy conversion processes in three-phase IM is that it uses instantaneous values of currents and voltages of stator and rotor winding phases as variables. This description of the dynamics gives a direct insight into the physical processes in IMs. A nonlinear model of asynchronous motor in the state space in the rotating system (d-q) of coordinates synchronized with the stator flux has been developed. A simulation model of asynchronous motor in MatLab/Simulink software package with the possibility of setting angular velocity of rotation and resistance torque is developed. The model-oriented design of the control program on the example of digital signal processors from Texas Instruments on the LAUNCHXL-F28379D board is performed.