Hierarchical equilibrium in multilevel control system

In the article the new concept of hierarchical equilibrium in multilevel control systems for inter-level interaction optimization on the basis of the generalization of Stackelberg's strategy for hierarchical differential games is formulated. The sufficient conditions of control law (strategy) o...

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Main Authors: E M Voronov, A A Karpunin, V A Serov
Format: Article
Language:English
Published: Peoples’ Friendship University of Russia (RUDN University) 2008-12-01
Series:RUDN Journal of Engineering Research
Online Access:http://journals.rudn.ru/engineering-researches/article/view/5054
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author E M Voronov
A A Karpunin
V A Serov
author_facet E M Voronov
A A Karpunin
V A Serov
author_sort E M Voronov
collection DOAJ
description In the article the new concept of hierarchical equilibrium in multilevel control systems for inter-level interaction optimization on the basis of the generalization of Stackelberg's strategy for hierarchical differential games is formulated. The sufficient conditions of control law (strategy) optimality of the level-subsystems of the multi-object multicriteria systems (MMS) are obtained for two-level control system. The approximate iteration procedure of obtaining the hierarchical equilibrium on the basis of the program-corrected control law (strategy) of both MMS-subsystem levels is proposed. The block diagram of the two-level aircraft control and stabilization system is formed, application of obtained procedure in which has the practical value.
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spelling doaj.art-7365ce8a444e4b08bcf59c0a8b75702c2023-02-02T15:10:46ZengPeoples’ Friendship University of Russia (RUDN University)RUDN Journal of Engineering Research2312-81432312-81512008-12-010418295054Hierarchical equilibrium in multilevel control systemE M Voronov0A A Karpunin1V A Serov2Кафедра систем автоматического управления МГТУ им. Н.Э. БауманаКафедра систем автоматического управления МГТУ им. Н.Э. БауманаМосковский государственный университет Приборостроения и ИнформатикиIn the article the new concept of hierarchical equilibrium in multilevel control systems for inter-level interaction optimization on the basis of the generalization of Stackelberg's strategy for hierarchical differential games is formulated. The sufficient conditions of control law (strategy) optimality of the level-subsystems of the multi-object multicriteria systems (MMS) are obtained for two-level control system. The approximate iteration procedure of obtaining the hierarchical equilibrium on the basis of the program-corrected control law (strategy) of both MMS-subsystem levels is proposed. The block diagram of the two-level aircraft control and stabilization system is formed, application of obtained procedure in which has the practical value.http://journals.rudn.ru/engineering-researches/article/view/5054
spellingShingle E M Voronov
A A Karpunin
V A Serov
Hierarchical equilibrium in multilevel control system
RUDN Journal of Engineering Research
title Hierarchical equilibrium in multilevel control system
title_full Hierarchical equilibrium in multilevel control system
title_fullStr Hierarchical equilibrium in multilevel control system
title_full_unstemmed Hierarchical equilibrium in multilevel control system
title_short Hierarchical equilibrium in multilevel control system
title_sort hierarchical equilibrium in multilevel control system
url http://journals.rudn.ru/engineering-researches/article/view/5054
work_keys_str_mv AT emvoronov hierarchicalequilibriuminmultilevelcontrolsystem
AT aakarpunin hierarchicalequilibriuminmultilevelcontrolsystem
AT vaserov hierarchicalequilibriuminmultilevelcontrolsystem