Wave motion suppression in the presence of unknown parameters using recursively updated empirical basis functions

Davood Babaei Pourkargar, Antonios Armaou

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We focus on adaptive wave motion suppression of fluid flows in the presence of unknown parameters. The suppression problem is addressed by low-dimensional adaptive nonlinear output feedback controller synthesis. We employed adaptive proper orthogonal decomposition to recursively compute the set of empirical basis functions needed by the Galerkin projection to derive updated reduced order models that can be used as the basis for Lyapunov-based adaptive output feedback controller design. A static observer is applied to estimate the state modes of the system required by the adaptive controller. The effectiveness of the proposed adaptive wave motion suppression method is illustrated on a generalized form of the Korteweg-de Vries-Burgers (KdVB) equation which can adequately describe the wave motions in a wide range of fluid flow processes.

Original languageEnglish (US)
Title of host publicationACC 2015 - 2015 American Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2619-2624
Number of pages6
ISBN (Electronic)9781479986842
DOIs
StatePublished - Jul 28 2015
Event2015 American Control Conference, ACC 2015 - Chicago, United States
Duration: Jul 1 2015Jul 3 2015

Publication series

NameProceedings of the American Control Conference
Volume2015-July
ISSN (Print)0743-1619

Other

Other2015 American Control Conference, ACC 2015
CountryUnited States
CityChicago
Period7/1/157/3/15

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All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Pourkargar, D. B., & Armaou, A. (2015). Wave motion suppression in the presence of unknown parameters using recursively updated empirical basis functions. In ACC 2015 - 2015 American Control Conference (pp. 2619-2624). [7171129] (Proceedings of the American Control Conference; Vol. 2015-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2015.7171129