ESTIMATION OF THE RESULTS OF STATISTICAL MODELING OF AUTOMATIC CONTROL SYSTEMS

Authors

  • A. A. Zelenkov National Aviation University
  • A. A. Bunchuk National Aviation University
  • A. P. Golik National Aviation University

DOI:

https://doi.org/10.18372/1990-5548.52.11888

Keywords:

Statistical modeling, accuracy estimation, tolerant interval, probability measure, tolerant area, nonparametric estimation, order statistics, modeling volume

Abstract

Probabilistic methods of processing the results of statistical modeling of the determining  parameters of the automatic control system characterizing the position of the aircraft in the automatic approach and landing mode for the purpose of determining the accuracy characteristics of automatic control are considered. Relations are obtained for determining a nonparametric two-dimensional tolerant region in which the probability measure of the controlled parameter with an unknown probability distribution is concentrated no less than the given one. Relations are proposed for the fraction of the probability of a parameter with a normal distribution law in the tolerant interval with bounderaries determined by normative documents. The obtained relations can be used to estimate the accuracy of the automatic landing system during statistical modeling of its mathematical model. 

Author Biographies

A. A. Zelenkov, National Aviation University

Educational & Research Institute of Information and Diagnostic Systems

Candidate of Science (Engineering). Professor

A. A. Bunchuk, National Aviation University

Educational & Research Institute of Information and Diagnostic Systems

Associate Professor

A. P. Golik, National Aviation University

Educational & Research Institute of Information and Diagnostic Systems

Teaching Fellow

References

A. A. Zelenkov and V. M. Sineglazov, On-board automatic control systems. Accuracy estimation of

flight test results. Kyiv, NAU, 2009, 264 p. (in Russian).

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Issue

Vol. 2 No. 52 (2017)

Section

MATHEMATICAL MODELING OF PROCESSES AND SYSTEMS

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