Output-only recursive identification of time-varying structures using a Gaussian process regression TARMA approach

Z. S. Ma, L. Liu, S. D. Zhou, F. Naets, W. Heylen, W. Desmet

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Citations (Scopus)

Abstract

This paper focuses on the problem of output-only recursive identification of time-varying structures. A kernelized time-dependent autoregressive moving average (TARMA) model is proposed by expanding the time-varying model parameters onto the basis set of kernel functions in a reproducing kernel Hilbert space. A Gaussian process regression TARMA identification scheme is subsequently proposed, allowing the Gaussian process regression to operate for vector TARMA models in a recursive manner. The proposed method is employed to identify a laboratory time-varying structure consisting of a simply supported beam and a sliding mass, and is assessed against an existing recursive pseudo-linear regression TARMA method via Monte Carlo experiments. The comparison demonstrates the superior achievable accuracy of the proposed Gaussian process regression TARMA approach.

Original languageEnglish
Title of host publicationProceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics
EditorsPaul Sas, David Moens, Axel van de Walle
PublisherKU Leuven, Departement Werktuigkunde
Pages2859-2870
Number of pages12
ISBN (Electronic)9789073802940
Publication statusPublished - 2016
Event27th International Conference on Noise and Vibration Engineering, ISMA 2016 and International Conference on Uncertainty in Structural Dynamics, USD2016 - Leuven, Belgium
Duration: 19 Sept 201621 Sept 2016

Publication series

NameProceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics

Conference

Conference27th International Conference on Noise and Vibration Engineering, ISMA 2016 and International Conference on Uncertainty in Structural Dynamics, USD2016
Country/TerritoryBelgium
CityLeuven
Period19/09/1621/09/16

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Cite this

Ma, Z. S., Liu, L., Zhou, S. D., Naets, F., Heylen, W., & Desmet, W. (2016). Output-only recursive identification of time-varying structures using a Gaussian process regression TARMA approach. In P. Sas, D. Moens, & A. van de Walle (Eds.), Proceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics (pp. 2859-2870). (Proceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics). KU Leuven, Departement Werktuigkunde.