Modeling, evaluation and metrics performance of the SyncLMKD in distributed kinematics variations

Abstract Modeling the Digital Twin (DT) is an important resource for accurately representing the physical entity, enabling it to deliver functional services, meet application requirements, and address the disturbances between the physical and digital realms. This article introduces the Log Mean Kine...

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Main Authors: Fabiano Stingelin Cardoso, Tacildo de Souza Araújo, Ronnier Frates Rohrich, André Schneider de Oliveira
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-024-84997-7
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author Fabiano Stingelin Cardoso
Tacildo de Souza Araújo
Ronnier Frates Rohrich
André Schneider de Oliveira
author_facet Fabiano Stingelin Cardoso
Tacildo de Souza Araújo
Ronnier Frates Rohrich
André Schneider de Oliveira
author_sort Fabiano Stingelin Cardoso
collection DOAJ
description Abstract Modeling the Digital Twin (DT) is an important resource for accurately representing the physical entity, enabling it to deliver functional services, meet application requirements, and address the disturbances between the physical and digital realms. This article introduces the Log Mean Kinematics Difference Synchronization (SyncLMKD) to measure the kinematic variations distributed among Digital Twin elements to ensure symmetric values relative to a reference. The proposed method employs abductive reasoning and draws inspiration from the Log Mean Temperature Difference (LMTD). The SyncLMKD is applied to measure kinematic variations among mobile robot entities in a DT representation, and it operates following the progression of displacement. A suitable synchronization technique was also developed for experiments based on this method. The main advantage of the SyncLMKD is its high precision in displacement measurement and predictability of distances between counterparts and the dynamic target of the Digital Twin, all while requiring low computational effort. The approach was tested with robots positioned at various locations and speeds to achieve synchronization among them. The SyncLMKD method demonstrated a precision of $$10^{-4}$$ in measuring the distances between elements, achieving synchronized movement of the counterparts with speed adjustments facilitated by the synchronization technique, with percentages ranging from 150 to 200%.
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spelling doaj-art-70802806ebb647b0922d2b8b2b1eca492025-01-05T12:14:47ZengNature PortfolioScientific Reports2045-23222025-01-0115111510.1038/s41598-024-84997-7Modeling, evaluation and metrics performance of the SyncLMKD in distributed kinematics variationsFabiano Stingelin Cardoso0Tacildo de Souza Araújo1Ronnier Frates Rohrich2André Schneider de Oliveira3Department of Information Systems, Federal Institute of Paraná (IFPR)Department of Mathematics, Federal Institute of Amazonas (IFAM)Graduate Program in Electrical and Computer Engineering, Universidade Tecnológica Federal do Paraná (UTFPR)Graduate Program in Electrical and Computer Engineering, Universidade Tecnológica Federal do Paraná (UTFPR)Abstract Modeling the Digital Twin (DT) is an important resource for accurately representing the physical entity, enabling it to deliver functional services, meet application requirements, and address the disturbances between the physical and digital realms. This article introduces the Log Mean Kinematics Difference Synchronization (SyncLMKD) to measure the kinematic variations distributed among Digital Twin elements to ensure symmetric values relative to a reference. The proposed method employs abductive reasoning and draws inspiration from the Log Mean Temperature Difference (LMTD). The SyncLMKD is applied to measure kinematic variations among mobile robot entities in a DT representation, and it operates following the progression of displacement. A suitable synchronization technique was also developed for experiments based on this method. The main advantage of the SyncLMKD is its high precision in displacement measurement and predictability of distances between counterparts and the dynamic target of the Digital Twin, all while requiring low computational effort. The approach was tested with robots positioned at various locations and speeds to achieve synchronization among them. The SyncLMKD method demonstrated a precision of $$10^{-4}$$ in measuring the distances between elements, achieving synchronized movement of the counterparts with speed adjustments facilitated by the synchronization technique, with percentages ranging from 150 to 200%.https://doi.org/10.1038/s41598-024-84997-7ModelingDigital twinSyncLMKD methodKinematic variationsSynchronization technique
spellingShingle Fabiano Stingelin Cardoso
Tacildo de Souza Araújo
Ronnier Frates Rohrich
André Schneider de Oliveira
Modeling, evaluation and metrics performance of the SyncLMKD in distributed kinematics variations
Scientific Reports
Modeling
Digital twin
SyncLMKD method
Kinematic variations
Synchronization technique
title Modeling, evaluation and metrics performance of the SyncLMKD in distributed kinematics variations
title_full Modeling, evaluation and metrics performance of the SyncLMKD in distributed kinematics variations
title_fullStr Modeling, evaluation and metrics performance of the SyncLMKD in distributed kinematics variations
title_full_unstemmed Modeling, evaluation and metrics performance of the SyncLMKD in distributed kinematics variations
title_short Modeling, evaluation and metrics performance of the SyncLMKD in distributed kinematics variations
title_sort modeling evaluation and metrics performance of the synclmkd in distributed kinematics variations
topic Modeling
Digital twin
SyncLMKD method
Kinematic variations
Synchronization technique
url https://doi.org/10.1038/s41598-024-84997-7
work_keys_str_mv AT fabianostingelincardoso modelingevaluationandmetricsperformanceofthesynclmkdindistributedkinematicsvariations
AT tacildodesouzaaraujo modelingevaluationandmetricsperformanceofthesynclmkdindistributedkinematicsvariations
AT ronnierfratesrohrich modelingevaluationandmetricsperformanceofthesynclmkdindistributedkinematicsvariations
AT andreschneiderdeoliveira modelingevaluationandmetricsperformanceofthesynclmkdindistributedkinematicsvariations