Method of Quasi-Optimal Synthesis Using Invariants

Method of Quasi-Optimal Synthesis Using Invariants

This paper studies the problem of synthesis of terminal control of a dynamic system. It is shown that to solve the problem the convolution product of objective functional and Gaussian constraint can be used as expanded functional. The use of needle variation allows to get a required condition of the...

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Main Authors: Kostoglotov Andrey Aleksandrovich, Lazarenko Sergey Valerievich, Kuznetcov Anton Aleksandrovich, Lyashchenko Zoya Vladimirovna
Format: Article
Language:English
Published: EDP Sciences 2016-01-01
Series:MATEC Web of Conferences
Online Access:http://dx.doi.org/10.1051/matecconf/20167715003
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spelling doaj-c28ee728ae534ca98ffd205511dc7c362021-02-02T00:26:26ZengEDP SciencesMATEC Web of Conferences2261-236X2016-01-01771500310.1051/matecconf/20167715003matecconf_icmmr2016_15003Method of Quasi-Optimal Synthesis Using InvariantsKostoglotov Andrey Aleksandrovich0Lazarenko Sergey Valerievich1Kuznetcov Anton Aleksandrovich2Lyashchenko Zoya Vladimirovna3Rostov State Transport University, Department of InformaticsDon State Technical University, Department of Radio Engineering and ElectronicsAir Force Military Training and Research Center “Air Force Academy named after Professor N.E. Zhukovsky and Yu.A. Gagarin”, Department of Metrology and Metrological supportRostov State Transport University, Department of InformaticsThis paper studies the problem of synthesis of terminal control of a dynamic system. It is shown that to solve the problem the convolution product of objective functional and Gaussian constraint can be used as expanded functional. The use of needle variation allows to get a required condition of the objective functional minimum and to reduce the optimization problem to the boundary problem, which can be solved in closed form. The quasi-optimal solution to the problem of optimal speed of operation is obtained. The modes of operation with choosing the control law parameters were studied.http://dx.doi.org/10.1051/matecconf/20167715003
collection DOAJ
language English
format Article
sources DOAJ
author Kostoglotov Andrey Aleksandrovich
Lazarenko Sergey Valerievich
Kuznetcov Anton Aleksandrovich
Lyashchenko Zoya Vladimirovna
spellingShingle Kostoglotov Andrey Aleksandrovich
Lazarenko Sergey Valerievich
Kuznetcov Anton Aleksandrovich
Lyashchenko Zoya Vladimirovna
Method of Quasi-Optimal Synthesis Using Invariants
MATEC Web of Conferences
author_facet Kostoglotov Andrey Aleksandrovich
Lazarenko Sergey Valerievich
Kuznetcov Anton Aleksandrovich
Lyashchenko Zoya Vladimirovna
author_sort Kostoglotov Andrey Aleksandrovich
title Method of Quasi-Optimal Synthesis Using Invariants
title_short Method of Quasi-Optimal Synthesis Using Invariants
title_full Method of Quasi-Optimal Synthesis Using Invariants
title_fullStr Method of Quasi-Optimal Synthesis Using Invariants
title_full_unstemmed Method of Quasi-Optimal Synthesis Using Invariants
title_sort method of quasi-optimal synthesis using invariants
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2016-01-01
description This paper studies the problem of synthesis of terminal control of a dynamic system. It is shown that to solve the problem the convolution product of objective functional and Gaussian constraint can be used as expanded functional. The use of needle variation allows to get a required condition of the objective functional minimum and to reduce the optimization problem to the boundary problem, which can be solved in closed form. The quasi-optimal solution to the problem of optimal speed of operation is obtained. The modes of operation with choosing the control law parameters were studied.
url http://dx.doi.org/10.1051/matecconf/20167715003
work_keys_str_mv AT kostoglotovandreyaleksandrovich methodofquasioptimalsynthesisusinginvariants
AT lazarenkosergeyvalerievich methodofquasioptimalsynthesisusinginvariants
AT kuznetcovantonaleksandrovich methodofquasioptimalsynthesisusinginvariants
AT lyashchenkozoyavladimirovna methodofquasioptimalsynthesisusinginvariants
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