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Avtomatika i Telemekhanika, 2019, Issue 1, Pages 83–100
DOI: https://doi.org/10.1134/S0005231019010069
(Mi at14722)
 

This article is cited in 6 scientific papers (total in 6 papers)

Control in Technical Systems

On solving the optimal control problem

I. S. Polanskiia, N. S. Arkhipovb, S. Yu. Misyurinc

a Academy of the Federal Security Service of Russia, Orel, Russia
b CJSC “Eureka”, St. Petersburg, Russia
c National Research Nuclear University “MEPhI”, Moscow, Russia
References:
Abstract: We consider a solution of the optimal control problem for an adaptive multidirectional mirror antenna. With the Pontryagin maximum principle, we reduce the problem to solving a system of ordinary differential equations. The resulting system can be solved numerically using modern approaches such as the Runge–Kutta methods or hybrid evolutionary algorithms. Estimation of the state vector is performed by the maximum likelihood criterion with solving the generated Fokker–Planck–Kolmogorov stochastic differential equation. In this case, the posterior probability density function is associated with the normalized value of the energy flux density in the aperture of antenna feeders. We determine the ability to suppress interference with an adaptive multidirectional mirror antenna and give an example of solving the control problem.
Keywords: adaptive multidirectional mirror antenna, interference suppression, Fokker–Planck–Kolmogorov equation, Pontryagin maximum principle.
Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 28.03.2018
Revised: 04.06.2018
Accepted: 08.11.2018
English version:
Automation and Remote Control, 2019, Volume 80, Issue 1, Pages 66–80
DOI: https://doi.org/10.1134/S0005117919010065
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. S. Polanskii, N. S. Arkhipov, S. Yu. Misyurin, “On solving the optimal control problem”, Avtomat. i Telemekh., 2019, no. 1, 83–100; Autom. Remote Control, 80:1 (2019), 66–80
Citation in format AMSBIB
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\paper On solving the optimal control problem
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\jour Autom. Remote Control
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  • https://www.mathnet.ru/eng/at/y2019/i1/p83
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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