This paper presents studies of a digital twin system. A conceptual model of the system is proposed to be used to control an industrial robot and can be integrated into different fields of application such as industry, manufacturing, farming, livestock breeding and others. On the principle of software engineering, the overall architecture of the system is developed, and its constituent elements are presented in detail. A kinematic analysis of the considered industrial robot is presented. To realize the digital twin, a simulation model of the industrial robot was developed to fully meet the dimensions and kinematic characteristics of the real one. Experiments have been made on the operation of the system so as to compare the movements of the real and simulated robot. The results obtained show almost identical motions both in the end effector of the robots and in the motions of each of the joints. A short methodology for the steps of creating systems using digital twins is presented to assist developers and scientists.