Induction motor electric drive with vector control is multiply and nonlinear control object. The structure of the equations describing the object includes parameters whose valuesare subjected to changes. In addition, the drive has a number of external disturbances. Traditional methods of control object representation do not allow to take into account these effects, which complicates the analysis of static and dynamic properties of the resulting system in terms of external and internal disturbances. In the paperit is proposed to use the interval objecttransfer functions with their member relative variations that allows to perform analysis of the effects of parametric perturbations. Based on polynomial methods the robust controllers of the phase currents projectionsand speedwere synthesized. Analysis of these controllers with using interval models showed that they provide a low sensitivity to perturbations. Implementation of mathematical modeling and experimental studies have confirmed the possibility of research based on interval transfer functions, as well as the effectiveness of the obtained robust controllers.