Toso, L.F. orcid.org/0000-0001-8679-868X, Drummond, R. orcid.org/0000-0002-2586-1718 and Duncan, S.R. orcid.org/0000-0002-9525-7305 (2022) Regional stability analysis of transitional fluid flows. IEEE Control Systems Letters, 6. pp. 2287-2292. ISSN 2475-1456
Abstract
A method to bound the maximum energy perturbation for which regional stability of transitional fluid flow models can be guaranteed is introduced. The proposed method exploits the fact that the fluid model's nonlinearities are both lossless and locally bounded and uses the axes lengths of the ellipsoids for the trajectory set containment as variables in the stability conditions. Compared to existing approaches based on quadratic constraints, the proposed method leads to an average increase in the maximum allowable energy perturbation of ≈ 29% for the 4-state Waleffe-Kim-Hamilton (WKH) shear flow model and of ≈ 38% for the 9-state reduced model of Couette flow.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | Fluid flow systems; stability of nonlinear systems; semidefinite programming |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 12 Feb 2024 16:18 |
Last Modified: | 12 Feb 2024 20:15 |
Status: | Published |
Publisher: | Institute of Electrical and Electronics Engineers (IEEE) |
Refereed: | Yes |
Identification Number: | 10.1109/lcsys.2022.3145233 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:209078 |