Multivariable frequency-response curve fitting with application to modal parameter estimation

Authors:
P. Verboven;P. Guillaume;B. Cauberghe
Affiliations:
Vrije Universiteit Brussel, Mechanical Engineering Department, Acoustics and Vibration Research Group, Pleinlaan 2, B-1050 Brussels, Belgium;Vrije Universiteit Brussel, Mechanical Engineering Department, Acoustics and Vibration Research Group, Pleinlaan 2, B-1050 Brussels, Belgium;Vrije Universiteit Brussel, Mechanical Engineering Department, Acoustics and Vibration Research Group, Pleinlaan 2, B-1050 Brussels, Belgium
Venue:
Automatica (Journal of IFAC)
Year:
2005

Citing 5
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Abstract

This paper presents a computational approach for the frequency-domain identification of multivariable, discrete-time transfer function models based on a cost function minimization. The algorithm is optimized for the parametric characterization of complex high-order multivariable systems requiring a large number of model parameters, including sparse matrix methods and QR-projections for the reduction of computation time and memory requirements. The algorithm supports a multivariable frequency-dependent weighting, which generally improves the quality of the transfer function model estimate. The overall approach is successfully demonstrated for a typical case encountered in experimental structural dynamics modelling (using modal analysis) and compared with related algorithms in order to assess the gain in computational efficiency.