Development of Digital Twin Based on Model with Fractional-Rational Uncertainty

Abstract

A methodology for developing the digital twin mathematical model for a cyber-physical system in the air heating process form using an electric heater is proposed. At the passive identification expense, the technique gives possibility of synthesis and adaptation of the digital twin discrete mathematical model by the air heating measured data in the operating electric heater. The influence of analytical model uncertain parameters of the electric heater on the calculation's accuracy is considered. The quality criterion for assessing the mathematical model adequacy to a physical dynamic process is proposed. The algorithm of passive identification the mathematical model uncertain parameters is developed, in which the deviations of calculated model variables from measured values in the process of air heating are minimized. A numerical study of the considered method has been carried out. It is shown that the passive identification of the uncertain model parameters belongs to the oneextreme optimization problem. The considered simulation examples prove that the proposed methodology for the digital twin development using MatLAB software is an effective and convenient tool for the rational creation of a digital twin for cyber-physical systems.

Digital twins: stages of concept development, areas of use, prospects

“…A mathematical description of digital twins can be obtained via statistical modelling, machine learning or analytical modelling methods. The mathematical models of a digital twin for supporting and predicting the functioning of a physical process of a real objects are given in [20], [21]. The parametric uncertainty of the mathematical description of the physical process is taken into account.…”