In the study of nonlinear systems, the development of control descriptions in accordance with the model of the process depends on the tasks of solving the problems of identification of control objects. Control object modeling is limited to using the same methods for both linear and nonlinear types. Non-linear control is complicated due to the scope of application of object identification methods and the nature of their use algorithms. In the article, modern methodological approaches to the research of the identification system of nonlinear control objects are considered. The importance of building an interpolator based on the principle of obtaining its original description and transition to an image based on the acquired digital information about the object in the discretely determined system is explained. In the process of research, the authors pay attention to the possibility of creating a mathematical description in several variants of this method and distinguishing the optimal one. In this comparison, the linearized model of technological objects is based on maintaining the dominance feature.