Frequency Response Functions, Uncertainty Estimates, Localization of Resonances, and Model Validation

Dieter Verbeke, Johan Schoukens, Rishi Relan

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


Non-parametric estimates play an important role in frequency domain identification of higher-order dynamical systems. Accurate measurements of the frequency response can be used as an intermediate step towards a parametric transfer function model, or provide an effective mechanism for model validation. This paper concerns several aspects of nonparametric frequency domain identification. We review developments in frequency response estimation for a class of linear or weakly nonlinear systems. We examine some properties of the associated confidence bounds. We describe an approach to localize resonant behavior without estimating a parametric model first, and demonstrate its use on experimental data of a steel beam. As models become more complex and diverse in response to the challenges of modern control strategies there will be an increasing need for a greater range of model validation procedures. We draw attention to the appearance of multiple testing problems in system identification, propose one method and contrast with another approach found in the statistics literature.

Original languageEnglish
Title of host publicationProceedings of 2019 6th Indian Control Conference
Publication dateDec 2019
Article number9123242
ISBN (Electronic)9781728138602
Publication statusPublished - Dec 2019
Event6th Indian Control Conference - Hyderabad, India
Duration: 18 Dec 201920 Dec 2019
Conference number: 6


Conference6th Indian Control Conference
SponsorABB Energi & Industri A/S, GE India, Indian Institute of Technology Hyderabad, Quanser


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