Variants of constructing control systems with a lagging argument for the positioning problem of an asyn-chronous electric motor (IM) and the problem of energy-saving AM control are considered. Variants of control of an asynchronous electric drive with IM on the basis of predicting its state are considered. The analytical de-sign of the predictor (ADP) is an asynchronous motor control algorithm based on the mathematical theory of optimal control (L.S. Pontryagin's maximum principle). The control algorithm (ADP) ensures the achievement of the minimum value of the target functional, which (functional), in contrast to the structure of the classical pre-dictive control system (Model Predictive Control - MPC), is clearly not part of the ADP. Calculations of the movements of an electric drive with an IM in the control modes of its state, taking into account delays along the channels for assessing its state and control, as well as using predictors, are given. The effectiveness of the in-troduction of predictors to improve the stability and quality of control of an electric drive with an IM has been established.