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

Authors

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

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.

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

References

1. Мокін. О. Б. Визначення умов, за яких рух динамічних об’єктів з порядком математичних моделей, вищим трьох,
можна описувати еквівалентними моделями з порядком, не вищим трьох / О. Б. Мокін, В. Б. Мокін, Б. І. Мокін // Вісник
Вінницького політехнічного інституту. — 2014. — № 4. — С. 7—14.
2. Макаров И. М. Линейные автоматические системы / И. М. Макаров, Б. М. Менский. — Москва : Машиностроение.
— 1977. — 464 с.
3. Макаров Е. Г. Mathcad : учебный курс / Е. Г. Макаров. — Санкт-Петербург : Питер, 2009. — 384 с.

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Published

2014-10-23

How to Cite

[1]
O. B. Mokin, V. B. Mokin, B. I. Mokin, and I. O. Chernova, “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.

Issue

No 5 (2014)

Section

Automation and information-measuring equipment

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