Mathematical Model of Movement of a Mobile Robot with Omnidirectional Wheels

The article discusses the issue of controlling a four-wheeled mobile robot with omnidirectional wheelsof the mecanum type. An analysis of the rotational motion of the omnidirectional mecanum wheel was carriedout, based on its kinematics. For a specific robot with certain overall parameters, a graph...

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Main Authors: А. А. Radkevich, Wu Xinxin, А. А. Velchenko, S. A. Pauliukavets
Format: Article
Language:Russian
Published: Educational institution «Belarusian State University of Informatics and Radioelectronics» 2024-02-01
Series:Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki
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Online Access:https://doklady.bsuir.by/jour/article/view/3861
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author А. А. Radkevich
Wu Xinxin
А. А. Velchenko
S. A. Pauliukavets
author_facet А. А. Radkevich
Wu Xinxin
А. А. Velchenko
S. A. Pauliukavets
author_sort А. А. Radkevich
collection DOAJ
description The article discusses the issue of controlling a four-wheeled mobile robot with omnidirectional wheelsof the mecanum type. An analysis of the rotational motion of the omnidirectional mecanum wheel was carriedout, based on its kinematics. For a specific robot with certain overall parameters, a graph of changes in the radiusof the mecanum wheel depending on the angle of its rotation was constructed. Kinematic and dynamic modelsof a mobile four-wheeled robot have been compiled, taking into account its geometric characteristics. The presented expressions are a mathematical description of the behavior of a mobile robot in statics and dynamics. Basedon the obtained models, the principles of operation of the motion control system for a four-wheeled mobile roboton omnidirectional wheels of the mecanum type are formed.
format Article
id doaj-art-432787ddeb6c4632b4d332a09fb98e0e
institution Kabale University
issn 1729-7648
language Russian
publishDate 2024-02-01
publisher Educational institution «Belarusian State University of Informatics and Radioelectronics»
record_format Article
series Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki
spelling doaj-art-432787ddeb6c4632b4d332a09fb98e0e2025-08-20T03:38:35ZrusEducational institution «Belarusian State University of Informatics and Radioelectronics»Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki1729-76482024-02-01221829010.35596/1729-7648-2024-22-1-82-901969Mathematical Model of Movement of a Mobile Robot with Omnidirectional WheelsА. А. Radkevich0Wu Xinxin1А. А. Velchenko2S. A. Pauliukavets3Belarusian National Technical UniversityBelarusian National Technical UniversityBelarusian National Technical UniversityBelarusian National Technical UniversityThe article discusses the issue of controlling a four-wheeled mobile robot with omnidirectional wheelsof the mecanum type. An analysis of the rotational motion of the omnidirectional mecanum wheel was carriedout, based on its kinematics. For a specific robot with certain overall parameters, a graph of changes in the radiusof the mecanum wheel depending on the angle of its rotation was constructed. Kinematic and dynamic modelsof a mobile four-wheeled robot have been compiled, taking into account its geometric characteristics. The presented expressions are a mathematical description of the behavior of a mobile robot in statics and dynamics. Basedon the obtained models, the principles of operation of the motion control system for a four-wheeled mobile roboton omnidirectional wheels of the mecanum type are formed.https://doklady.bsuir.by/jour/article/view/3861mecanum wheelomnidirectional wheelmobile robotmathematical modelkinematic modeldynamic modelinverse kinematics
spellingShingle А. А. Radkevich
Wu Xinxin
А. А. Velchenko
S. A. Pauliukavets
Mathematical Model of Movement of a Mobile Robot with Omnidirectional Wheels
Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki
mecanum wheel
omnidirectional wheel
mobile robot
mathematical model
kinematic model
dynamic model
inverse kinematics
title Mathematical Model of Movement of a Mobile Robot with Omnidirectional Wheels
title_full Mathematical Model of Movement of a Mobile Robot with Omnidirectional Wheels
title_fullStr Mathematical Model of Movement of a Mobile Robot with Omnidirectional Wheels
title_full_unstemmed Mathematical Model of Movement of a Mobile Robot with Omnidirectional Wheels
title_short Mathematical Model of Movement of a Mobile Robot with Omnidirectional Wheels
title_sort mathematical model of movement of a mobile robot with omnidirectional wheels
topic mecanum wheel
omnidirectional wheel
mobile robot
mathematical model
kinematic model
dynamic model
inverse kinematics
url https://doklady.bsuir.by/jour/article/view/3861
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AT wuxinxin mathematicalmodelofmovementofamobilerobotwithomnidirectionalwheels
AT aavelchenko mathematicalmodelofmovementofamobilerobotwithomnidirectionalwheels
AT sapauliukavets mathematicalmodelofmovementofamobilerobotwithomnidirectionalwheels