Assignment and uncertainty quantification of perturbation-invariant eigenvalues: With an application to fault localization

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Abstract Summary
A direct scheme is presented for output feedback assignment and uncertainty quantification of perturbation-invariant eigenvalues in controllable and observable systems. The feedback is realized through offline signal processing of open-loop input-output data, and the eigenvalue invariance is imposed in a deterministic eigenstructure assignment formulation with left eigenvectors. The uncertainties of the assigned eigenvalues are, under the assumption that subspace identification is used to infer the mathematical model of the given system, quantified using the statistical delta method. The paper outlines and validates the proposed scheme and subsequently presents an application of it for damage localization in mechanical systems that comply with the controllability and observability assumptions.
Abstract ID :
689
Associate Professor
,
Aarhus University, Denmark
ETH Zürich
Professor
,
Northeastern University
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