The synthesis of adaptive multi-mode regulators based on combined control of the combined maximum principle

The problem of synthesis of the optimal controls using nonlinear dynamic systems in general form is not yet analytically solved. Fundamental results of L.S. Pontryagin leads to programs of optimal control, and the solution to the synthesis problem can be obtained using complex constructions only in...

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Main Authors: Kostoglotov Andrey, Lazarenko Sergey, Losev Vitaliy, Pugachev Igor
Format: Article
Language:English
Published: EDP Sciences 2017-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201713205007
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spelling doaj-b9d1c3d07cb14cac911c33a5bd000dc42021-02-02T03:59:20ZengEDP SciencesMATEC Web of Conferences2261-236X2017-01-011320500710.1051/matecconf/201713205007matecconf_dts2017_05007The synthesis of adaptive multi-mode regulators based on combined control of the combined maximum principleKostoglotov AndreyLazarenko SergeyLosev VitaliyPugachev IgorThe problem of synthesis of the optimal controls using nonlinear dynamic systems in general form is not yet analytically solved. Fundamental results of L.S. Pontryagin leads to programs of optimal control, and the solution to the synthesis problem can be obtained using complex constructions only in special cases. The implementation of such solutions implies the need to take into account the sliding modes, the regimes of frequent switching, the negative influence of interference, and so on. This was the reason for the development of methods for synthesizing systems of variable structure, which allow to increase the accuracy of control, eliminate undesirable modes, and counteract the influence of external and parametric disturbances. The results of the research showed that using the combined maximum principle leads to obtaining a general structure of quasi-optimal control for different classes of constraints and allows to provide parametric and structural adaptation to of the state and the parameters due to the possibility of complex implementation of control principles with respect to deviation and disturbance.https://doi.org/10.1051/matecconf/201713205007
collection DOAJ
language English
format Article
sources DOAJ
author Kostoglotov Andrey
Lazarenko Sergey
Losev Vitaliy
Pugachev Igor
spellingShingle Kostoglotov Andrey
Lazarenko Sergey
Losev Vitaliy
Pugachev Igor
The synthesis of adaptive multi-mode regulators based on combined control of the combined maximum principle
MATEC Web of Conferences
author_facet Kostoglotov Andrey
Lazarenko Sergey
Losev Vitaliy
Pugachev Igor
author_sort Kostoglotov Andrey
title The synthesis of adaptive multi-mode regulators based on combined control of the combined maximum principle
title_short The synthesis of adaptive multi-mode regulators based on combined control of the combined maximum principle
title_full The synthesis of adaptive multi-mode regulators based on combined control of the combined maximum principle
title_fullStr The synthesis of adaptive multi-mode regulators based on combined control of the combined maximum principle
title_full_unstemmed The synthesis of adaptive multi-mode regulators based on combined control of the combined maximum principle
title_sort synthesis of adaptive multi-mode regulators based on combined control of the combined maximum principle
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2017-01-01
description The problem of synthesis of the optimal controls using nonlinear dynamic systems in general form is not yet analytically solved. Fundamental results of L.S. Pontryagin leads to programs of optimal control, and the solution to the synthesis problem can be obtained using complex constructions only in special cases. The implementation of such solutions implies the need to take into account the sliding modes, the regimes of frequent switching, the negative influence of interference, and so on. This was the reason for the development of methods for synthesizing systems of variable structure, which allow to increase the accuracy of control, eliminate undesirable modes, and counteract the influence of external and parametric disturbances. The results of the research showed that using the combined maximum principle leads to obtaining a general structure of quasi-optimal control for different classes of constraints and allows to provide parametric and structural adaptation to of the state and the parameters due to the possibility of complex implementation of control principles with respect to deviation and disturbance.
url https://doi.org/10.1051/matecconf/201713205007
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