IMPULSE CONTROL OF THE MANIPULATION ROBOT

A nonlinear control problem for a manipulation robot is considered. The solvability conditions for the problem are obtained in the class of special impulse controls. To achieve the control goal, the kinetic energy of the manipulation robot is used. When finding analytical formulas for controls, the...

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Main Authors: Yurii F. Dolgii, Alexander N. Sesekin, Ilya G. Chupin
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2019-12-01
Series:Ural Mathematical Journal
Subjects:
Online Access:https://umjuran.ru/index.php/umj/article/view/195
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author Yurii F. Dolgii
Alexander N. Sesekin
Ilya G. Chupin
author_facet Yurii F. Dolgii
Alexander N. Sesekin
Ilya G. Chupin
author_sort Yurii F. Dolgii
collection DOAJ
description A nonlinear control problem for a manipulation robot is considered. The solvability conditions for the problem are obtained in the class of special impulse controls. To achieve the control goal, the kinetic energy of the manipulation robot is used. When finding analytical formulas for controls, the classical first integrals of Lagrangian mechanics were used. The effectiveness of the proposed algorithm is illustrated by computer simulation.
format Article
id doaj-art-271c741340d34d608c0db60cbecf6bb4
institution Kabale University
issn 2414-3952
language English
publishDate 2019-12-01
publisher Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
record_format Article
series Ural Mathematical Journal
spelling doaj-art-271c741340d34d608c0db60cbecf6bb42025-08-20T03:33:20ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522019-12-015210.15826/umj.2019.2.00283IMPULSE CONTROL OF THE MANIPULATION ROBOTYurii F. Dolgii0Alexander N. Sesekin1Ilya G. Chupin2Ural Federal University, 19 Mira str., Ekaterinburg, 620002; Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya Str., Ekaterinburg, 620990Ural Federal University, 19 Mira str., Ekaterinburg, 620002; Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya Str., Ekaterinburg, 620990Ural Federal University, 19 Mira str., Ekaterinburg, 620002A nonlinear control problem for a manipulation robot is considered. The solvability conditions for the problem are obtained in the class of special impulse controls. To achieve the control goal, the kinetic energy of the manipulation robot is used. When finding analytical formulas for controls, the classical first integrals of Lagrangian mechanics were used. The effectiveness of the proposed algorithm is illustrated by computer simulation.https://umjuran.ru/index.php/umj/article/view/195manipulation robot, impulse controls, first integrals
spellingShingle Yurii F. Dolgii
Alexander N. Sesekin
Ilya G. Chupin
IMPULSE CONTROL OF THE MANIPULATION ROBOT
Ural Mathematical Journal
manipulation robot, impulse controls, first integrals
title IMPULSE CONTROL OF THE MANIPULATION ROBOT
title_full IMPULSE CONTROL OF THE MANIPULATION ROBOT
title_fullStr IMPULSE CONTROL OF THE MANIPULATION ROBOT
title_full_unstemmed IMPULSE CONTROL OF THE MANIPULATION ROBOT
title_short IMPULSE CONTROL OF THE MANIPULATION ROBOT
title_sort impulse control of the manipulation robot
topic manipulation robot, impulse controls, first integrals
url https://umjuran.ru/index.php/umj/article/view/195
work_keys_str_mv AT yuriifdolgii impulsecontrolofthemanipulationrobot
AT alexandernsesekin impulsecontrolofthemanipulationrobot
AT ilyagchupin impulsecontrolofthemanipulationrobot