For synchronization of sections of modern printing machines and equipment of such sections, driven by individual drives the system of “electronic shaft” is widely used. A development of the mathematical model of such a local drive, consisting of mechanical and electric-electronic parts as well as links between them, is provided. The model with an effective adaptive control block for increasing accuracy of the drive is provided in the form of a structural scheme. It, first of all, is usable for investigations of linear and nonlinear dynamic processes that take place in the mechanical part of the drive. Processes that take place in the electric drive are not detailed in this article. An example of the application of the model is provided.