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Frequency-domain analysis for nonlinear systems with time-domain model parameter uncertainty

Jacobs, W.R., DODD, Tony and Anderson, S.R. (2018) Frequency-domain analysis for nonlinear systems with time-domain model parameter uncertainty. IEEE Transactions on Automatic Control. ISSN 0018-9286

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Abstract or description

Frequency-domain analysis of dynamic systems is important across many areas of engineering. However, whilst there are many analysis methods for linear systems, the problem is much less widely studied for nonlinear systems. Frequency-domain analysis of nonlinear systems using frequency response functions (FRFs) is particularly important to reveal resonances, super/sub-harmonics and energy transfer across frequencies. In this paper the novel contribution is a time-domain model-based approach to describing the uncertainty of nonlinear systems in the frequency-domain. The method takes a nonlinear input-output model that has normally distributed parameters, and propagates that uncertainty into the frequency-domain using analytic expressions based on FRFs. We demonstrate the approach on both synthetic examples of nonlinear systems and a real-world nonlinear system identified from experimental data. We benchmark the proposed approach against a brute-force technique based on Monte Carlo sampling and show that there is good agreement between the methods.

Item Type: Article
Additional Information: © 2018 IEEE. This is an author produced version of a paper subsequently published in IEEE Transactions on Automatic Control. Uploaded in accordance with the publisher's self-archiving policy.
Uncontrolled Keywords: nonlinear systems; frequency domain; uncertainty propagation
Faculty: School of Creative Arts and Engineering > Engineering
Depositing User: Library STORE team
Date Deposited: 15 Jul 2020 14:35
Last Modified: 24 Feb 2023 13:58
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