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Main Authors: Liu, Zihao, Dias-da-Costa, Daniel, Chan, Tommy, Coprani, Colin, Kim, Chul-Woo, Alamdari, Mehrisadat Makki
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.08839
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author Liu, Zihao
Dias-da-Costa, Daniel
Chan, Tommy
Coprani, Colin
Kim, Chul-Woo
Alamdari, Mehrisadat Makki
author_facet Liu, Zihao
Dias-da-Costa, Daniel
Chan, Tommy
Coprani, Colin
Kim, Chul-Woo
Alamdari, Mehrisadat Makki
contents This paper presents an output-only method to identify road roughness profiles from axle accelerations of a moving vehicle. A two degree of freedom half-car model is discretised with a zero-order hold and a backward-difference approximation of the roughness rate, which introduces both the current and previous roughness inputs into the observation equation. This modification enables joint input state estimation with limited measurements using a Universal Smoothing (US) method, which belongs to the family of Minimum-Variance Unbiased (MVU) estimators. To improve numerical robustness under high process noise, stemming from modelling errors such as neglected bridge vehicle interaction, the system inversion is regularised by truncated singular value decomposition. The method is validated on a full-scale bridge with a commercial SUV at two different speeds. Compared to the Dual Kalman filter and an MVU-based smoother, the proposed US achieves stable, accurate reconstructions across different scenarios and remains numerically well conditioned when noise increases. Practical aspects of tuning, window length selection, and computational cost are also discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2511_08839
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Output-only road roughness identification from vehicle axle accelerations through a universal smoothing method
Liu, Zihao
Dias-da-Costa, Daniel
Chan, Tommy
Coprani, Colin
Kim, Chul-Woo
Alamdari, Mehrisadat Makki
Dynamical Systems
This paper presents an output-only method to identify road roughness profiles from axle accelerations of a moving vehicle. A two degree of freedom half-car model is discretised with a zero-order hold and a backward-difference approximation of the roughness rate, which introduces both the current and previous roughness inputs into the observation equation. This modification enables joint input state estimation with limited measurements using a Universal Smoothing (US) method, which belongs to the family of Minimum-Variance Unbiased (MVU) estimators. To improve numerical robustness under high process noise, stemming from modelling errors such as neglected bridge vehicle interaction, the system inversion is regularised by truncated singular value decomposition. The method is validated on a full-scale bridge with a commercial SUV at two different speeds. Compared to the Dual Kalman filter and an MVU-based smoother, the proposed US achieves stable, accurate reconstructions across different scenarios and remains numerically well conditioned when noise increases. Practical aspects of tuning, window length selection, and computational cost are also discussed.
title Output-only road roughness identification from vehicle axle accelerations through a universal smoothing method
topic Dynamical Systems
url https://arxiv.org/abs/2511.08839