APPLIED A CONDITIONS OF SMOOTHNESS OF CAUSAL RELATIONSHIPS IN THE PROBLEM OF CONSTRUCTING OF MATHEMATICAL MODELS

Authors

  • A. M. Silvestrov National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnical Institute”
  • L. Yu. Spinul National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnical Institute,”
  • A. A. Serdiuk National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnical Institute”

DOI:

https://doi.org/10.18372/1990-5548.64.14859

Keywords:

Identification, smoothness, Hammerstein model, natural experiment

Abstract

The publication, based on the fundamental property of all real processes, namely the smoothness of nonlinear causal relationships between the variables of the state of the object of identification and the variables themselves, presents a few of new identification methods that are simpler and more accurate than traditional. These methods are illustrated by examples of estimating the aerodynamic coefficients and balancing characteristics of aircraft, building a single mathematical model of the magnetization curve.

Author Biographies

A. M. Silvestrov, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnical Institute”

Department of Theoretical Electrical Engineering

Doctor of Engineering Science. Professor

L. Yu. Spinul, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnical Institute,”

Department of Theoretical Electrical Engineering

Candidate of Science (Engineering). Associate Professor

A. A. Serdiuk, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnical Institute”

Department of Aircraft Control SystemsCandidate of Science (Engineering). Associate Professor

References

Lennart Ljung, "System Identification – Theory For the User," N.J: PTR Prentice Hall, 402h., 1999. (in English).

V. V.Samsonov, A. M. Silvestrov, and L. Yu. Spinul, "Multyple adaptive system of identification, " Kyiv: NUFT, 228 p., 2018. (in English).

V. M. Sineglazov and A. M. Silvestrov, Theory of identification: a textbook. Kyiv: NAU, 2015, 452 p. (in Ukranian)

K. M. Bozhko, A. N. Silvestrov, and A. N. Skrynnik, "Application of the method of analytical description of piecewise-analytical dependences," Bulgarian Jornal for Engineering Design. Issue 22, 2014, pp. 33–38. (in Russian).

G. I. Kryvoboka, A. M. Silvestrov, and O. M. Skrynnyk, "Application of filter theory for analytical description of logical-analytical dependencies," Scientific Bulletin of the National Technical University of Ukraine "Kyiv Polytechnic Institute," - no. 2, 2013, pp. 64–69. (in Ukranian)

H. E. Pukhov and T. S. Khatyashvyly, "Process Models," Kyiv: Tekhnika, 1974, 200 p. (in Russian).

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Issue

Vol. 2 No. 64 (2020)

Section

AUTOMATION AND COMPUTER-INTEGRATED TECHNOLOGIES

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