Invariant eigenvalue assignment and uncertainty quantification for damage localization

Martin Dalgaard Ulriksen; Szymon Gres; Pablo Zan Nieto; Mathias Borgen Dahl; Dionisio Bernal

doi:10.1177/10775463251315981

Invariant eigenvalue assignment and uncertainty quantification for damage localization

Martin Dalgaard Ulriksen, Szymon Gres, Pablo Zan Nieto, Mathias Borgen Dahl, Dionisio Bernal

Institut for Mekanik og Produktion - Mekatronik og Dynamik

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

Abstract

A scheme is presented for damage localization in linear and time-invariant (LTI) systems using static output feedback eigenstructure assignment. The feedback is realized through signal processing of open-loop input–output data, and the assignment is formulated to render an eigenvalue subset invariant to a number of perturbations that define the spatial domain of the plausible damage distribution. For each perturbation, a feedback gain is designed to realize the eigenvalue invariance, whereby the damage location can be inferred from the shifts in the assigned eigenvalues. The interrogation is posed as a statistical hypothesis test with eigenvalue uncertainty bounds derived from an asymptotic analysis of the assignment formulation. Numerical and experimental examples are presented to validate the theoretical developments and convey the details of the damage localization application.

Originalsprog	Engelsk
Tidsskrift	Journal of Vibration and Control
ISSN	1077-5463
DOI	https://doi.org/10.1177/10775463251315981
Status	E-pub / Early view - 2025

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title = "Invariant eigenvalue assignment and uncertainty quantification for damage localization",

abstract = "A scheme is presented for damage localization in linear and time-invariant (LTI) systems using static output feedback eigenstructure assignment. The feedback is realized through signal processing of open-loop input–output data, and the assignment is formulated to render an eigenvalue subset invariant to a number of perturbations that define the spatial domain of the plausible damage distribution. For each perturbation, a feedback gain is designed to realize the eigenvalue invariance, whereby the damage location can be inferred from the shifts in the assigned eigenvalues. The interrogation is posed as a statistical hypothesis test with eigenvalue uncertainty bounds derived from an asymptotic analysis of the assignment formulation. Numerical and experimental examples are presented to validate the theoretical developments and convey the details of the damage localization application.",

keywords = "damage localization, invariant eigenvalue assignment, static output feedback, uncertainty quantification",

author = "Ulriksen, {Martin Dalgaard} and Szymon Gres and Nieto, {Pablo Zan} and Dahl, {Mathias Borgen} and Dionisio Bernal",

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AU - Ulriksen, Martin Dalgaard

AU - Gres, Szymon

AU - Nieto, Pablo Zan

AU - Dahl, Mathias Borgen

AU - Bernal, Dionisio

PY - 2025

Y1 - 2025

N2 - A scheme is presented for damage localization in linear and time-invariant (LTI) systems using static output feedback eigenstructure assignment. The feedback is realized through signal processing of open-loop input–output data, and the assignment is formulated to render an eigenvalue subset invariant to a number of perturbations that define the spatial domain of the plausible damage distribution. For each perturbation, a feedback gain is designed to realize the eigenvalue invariance, whereby the damage location can be inferred from the shifts in the assigned eigenvalues. The interrogation is posed as a statistical hypothesis test with eigenvalue uncertainty bounds derived from an asymptotic analysis of the assignment formulation. Numerical and experimental examples are presented to validate the theoretical developments and convey the details of the damage localization application.

AB - A scheme is presented for damage localization in linear and time-invariant (LTI) systems using static output feedback eigenstructure assignment. The feedback is realized through signal processing of open-loop input–output data, and the assignment is formulated to render an eigenvalue subset invariant to a number of perturbations that define the spatial domain of the plausible damage distribution. For each perturbation, a feedback gain is designed to realize the eigenvalue invariance, whereby the damage location can be inferred from the shifts in the assigned eigenvalues. The interrogation is posed as a statistical hypothesis test with eigenvalue uncertainty bounds derived from an asymptotic analysis of the assignment formulation. Numerical and experimental examples are presented to validate the theoretical developments and convey the details of the damage localization application.

KW - damage localization

KW - invariant eigenvalue assignment

KW - static output feedback

KW - uncertainty quantification

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DO - 10.1177/10775463251315981

M3 - Journal article

SN - 1077-5463

JO - Journal of Vibration and Control

JF - Journal of Vibration and Control

ER -

Invariant eigenvalue assignment and uncertainty quantification for damage localization

Abstract

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