Development of a gray box system identification model to estimate the parameters affecting traffic accidents

In this study, the gray box method has been used to model traffic accidents for the first time. This work examines the problem of estimating and identifying a single-input single-output state-space system. In this way, the state-space model was used, which has both a black box section (experimental...

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Main Authors: Zargari Shahriar Afandizadeh, Rad Hamid Bigdeli
Format: Article
Language:English
Published: De Gruyter 2023-07-01
Series:Nonlinear Engineering
Subjects:
Online Access:https://doi.org/10.1515/nleng-2022-0218
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author Zargari Shahriar Afandizadeh
Rad Hamid Bigdeli
author_facet Zargari Shahriar Afandizadeh
Rad Hamid Bigdeli
author_sort Zargari Shahriar Afandizadeh
collection DOAJ
description In this study, the gray box method has been used to model traffic accidents for the first time. This work examines the problem of estimating and identifying a single-input single-output state-space system. In this way, the state-space model was used, which has both a black box section (experimental data) and the parameters have been estimated by acquiring prior knowledge (white box). First, the state-space of the desired system is formed, and the algorithm for estimating the parameters and their convergence and the state vector estimation algorithm are written. In comparison, the system changes from nonlinear to linear. The parameters and prior knowledge are entered from the system. Finally, by implementing the presented method on the data related to the factors affecting accidents in Qazvin (Iran), the accuracy of the presented materials is investigated. The error output shows that initially, the error increased slightly, but then it shows a downward trend, and with the increase in the data, the error tends to zero (0.658). The results also show good fit and optimal accuracy of the model in less processing time.
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spelling doaj.art-52899d99ca1f4844b7121b45bc6e31a12023-08-01T05:15:25ZengDe GruyterNonlinear Engineering2192-80292023-07-011211238586010.1515/nleng-2022-0218Development of a gray box system identification model to estimate the parameters affecting traffic accidentsZargari Shahriar Afandizadeh0Rad Hamid Bigdeli1Faculty of Civil Engineering, Iran University of Science and Technology, Tehran, IranFaculty of Civil Engineering, Iran University of Science and Technology, Tehran, IranIn this study, the gray box method has been used to model traffic accidents for the first time. This work examines the problem of estimating and identifying a single-input single-output state-space system. In this way, the state-space model was used, which has both a black box section (experimental data) and the parameters have been estimated by acquiring prior knowledge (white box). First, the state-space of the desired system is formed, and the algorithm for estimating the parameters and their convergence and the state vector estimation algorithm are written. In comparison, the system changes from nonlinear to linear. The parameters and prior knowledge are entered from the system. Finally, by implementing the presented method on the data related to the factors affecting accidents in Qazvin (Iran), the accuracy of the presented materials is investigated. The error output shows that initially, the error increased slightly, but then it shows a downward trend, and with the increase in the data, the error tends to zero (0.658). The results also show good fit and optimal accuracy of the model in less processing time.https://doi.org/10.1515/nleng-2022-0218system identificationgray box modelstate-space modelhuman factors
spellingShingle Zargari Shahriar Afandizadeh
Rad Hamid Bigdeli
Development of a gray box system identification model to estimate the parameters affecting traffic accidents
Nonlinear Engineering
system identification
gray box model
state-space model
human factors
title Development of a gray box system identification model to estimate the parameters affecting traffic accidents
title_full Development of a gray box system identification model to estimate the parameters affecting traffic accidents
title_fullStr Development of a gray box system identification model to estimate the parameters affecting traffic accidents
title_full_unstemmed Development of a gray box system identification model to estimate the parameters affecting traffic accidents
title_short Development of a gray box system identification model to estimate the parameters affecting traffic accidents
title_sort development of a gray box system identification model to estimate the parameters affecting traffic accidents
topic system identification
gray box model
state-space model
human factors
url https://doi.org/10.1515/nleng-2022-0218
work_keys_str_mv AT zargarishahriarafandizadeh developmentofagrayboxsystemidentificationmodeltoestimatetheparametersaffectingtrafficaccidents
AT radhamidbigdeli developmentofagrayboxsystemidentificationmodeltoestimatetheparametersaffectingtrafficaccidents