Automation and information-measuring equipment

Identification of equivalent mathematical model with minimum order by the critical frequency for multidimensional dynamic object

Authors

O. B. Mokin
Vinnytsia National Technical University ROR
V. B. Mokin
Vinnytsia National Technical University ROR
B. I. Mokin
Vinnytsia National Technical University ROR
I. O. Chernova
Vinnytsia National Technical University ROR

Keywords

динамічна система математична модель критична частота диференціальне рівняння еквівалентування

Abstract

A method for identification of equivalent mathematical model with minimum order by the critical frequency for multi-dimensional dynamic object that allows linearization is suggested in the paper. It is confirmed that the minimum order of equivalent model is three and that algorithm of the method of identification of its model based on the joint solution of the system of four nonlinear equations, two of which are synthesized from the boundary conditions for the minimum and the critical frequency of the dynamic object range, and the other two are synthesized by application of the least squares method to the optimization criteria related to the logarithmic amplitude frequency characteristics of the object.
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How to Cite

[1]
“Identification of equivalent mathematical model with minimum order by the critical frequency for multidimensional dynamic object”, Вісник ВПІ, no. 5, pp. 9–14, Oct. 2014, Accessed: Oct. 06, 2026. Available: https://visnyk.vntu.edu.ua/index.php/visnyk/article/view/877

Author Biographies

O. B. Mokin, Vinnytsia National Technical University
Dr. Sc. (Eng.), Professor, Head of the Chair of Renewable Energy and Transport Elec-trical Systems and Complexes
V. B. Mokin, Vinnytsia National Technical University
Dr. Sc. (Eng.), Professor, Head of the Chair of Computer-Aided Ecological and Economic Monitoring and Engineering Graphics
B. I. Mokin, Vinnytsia National Technical University
Academician of NAPS of Ukraine, Dr. Sc. (Eng.), Professor, Professor of the Chair of Re-newable Energy and Transport Electrical Systems and Complexes
I. O. Chernova, Vinnytsia National Technical University
Engineer of Science Research Department, Researcher of the Chair of Renewable Energy and Transport Electrical Systems and Complexes

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