The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation

A quasi-optimal control law is developed based on the condition for the maxi-mum of the generalized power function taking into account the stationarity of the Hamiltonian on the switching line for control objects that can be represented by the Lagrange equations of the second kind. The comparative a...

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Main Authors:	Kostoglotov Andrey, Lazarenko Sergey, Agapov Alexander, Lyashchenko Zoya
Format:	Article
Language:	English
Published:	EDP Sciences 2020-01-01
Series:	E3S Web of Conferences
Online Access:	https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/70/e3sconf_itse2020_01003.pdf

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spelling	doaj-d2f04557bca84a9f8bfc1be55a21effb2021-04-02T20:25:55ZengEDP SciencesE3S Web of Conferences2267-12422020-01-012100100310.1051/e3sconf/202021001003e3sconf_itse2020_01003The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitationKostoglotov AndreyLazarenko SergeyAgapov Alexander0Lyashchenko Zoya1Don State Technical UniversityRostov State Transport UniversityA quasi-optimal control law is developed based on the condition for the maxi-mum of the generalized power function taking into account the stationarity of the Hamiltonian on the switching line for control objects that can be represented by the Lagrange equations of the second kind. The comparative analysis is carried out based on the mathematical simulation using the optimal nonlinear control laws with respect to several criteria. We found that the modes of the proposed control law provide high accuracy of approximation to the optimal performance laws and the Fuller laws, reducing energy costs for control by eliminating more frequent switching. The choice of the parameters of the developed control law makes it possible to implement a wide range of both nonlinear and linear operating modes, which allows to classify the obtained control law as multimode law.https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/70/e3sconf_itse2020_01003.pdf
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kostoglotov Andrey Lazarenko Sergey Agapov Alexander Lyashchenko Zoya
spellingShingle	Kostoglotov Andrey Lazarenko Sergey Agapov Alexander Lyashchenko Zoya The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation E3S Web of Conferences
author_facet	Kostoglotov Andrey Lazarenko Sergey Agapov Alexander Lyashchenko Zoya
author_sort	Kostoglotov Andrey
title	The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation
title_short	The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation
title_full	The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation
title_fullStr	The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation
title_full_unstemmed	The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation
title_sort	condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation
publisher	EDP Sciences
series	E3S Web of Conferences
issn	2267-1242
publishDate	2020-01-01
description	A quasi-optimal control law is developed based on the condition for the maxi-mum of the generalized power function taking into account the stationarity of the Hamiltonian on the switching line for control objects that can be represented by the Lagrange equations of the second kind. The comparative analysis is carried out based on the mathematical simulation using the optimal nonlinear control laws with respect to several criteria. We found that the modes of the proposed control law provide high accuracy of approximation to the optimal performance laws and the Fuller laws, reducing energy costs for control by eliminating more frequent switching. The choice of the parameters of the developed control law makes it possible to implement a wide range of both nonlinear and linear operating modes, which allows to classify the obtained control law as multimode law.
url	https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/70/e3sconf_itse2020_01003.pdf
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The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation

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