Identification of Parameters of the Mathematical Model of a Dynamic Object of Critical Infrastructure

Source abstract

This paper addresses the problem of identifying the parameters of a mathematical model for a dynamic system based on its acceleration curve. The system is modeled using a high-order transfer function. An algorithm is developed to estimate the unknown parameters, and its performance is evaluated with respect to the number of data points in the original curve. The proposed identification method targets the unknown coefficients of the characteristic polynomial and employs a geometric approach that involves numerically integrating the area under the error function curve. The paper also examines the challenges associated with implementing the algorithm. A computational example is presented, and statistical regression analysis confirms both the adequacy of the model and the effectiveness of the proposed method.