Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/6990
Title: Low dimensional modelling and Dirichlet boundary controller design for Burgers equation
Authors: Efe, Mehmet Önder
Özbay, Hitay
Keywords: [No Keywords]
Issue Date: 2004
Publisher: Taylor & Francis Ltd
Abstract: Modelling and boundary control for the Burgers equation is studied in this paper. Modelling has been done via processing of numerical observations through proper orthogonal decomposition (POD) with Galerkin projection. This results in a set of spatial basis functions together with a set of ordinary differential equations (ODEs) describing the temporal evolution. Since the dynamics described by the Burgers equation are non-linear, the corresponding reduced-order dynamics turn out to be non-linear. The presented analysis explains how the free boundary condition appears as a control input in the ODEs and how controller design can be accomplished. The issues of control system synthesis are discussed from the point of practicality, performance and robustness. The numerical results obtained are in good compliance with the theoretical claims. A comparison of various different approaches is presented.
URI: https://doi.org/10.1080/00207170412331270532
https://hdl.handle.net/20.500.11851/6990
ISSN: 0020-7179
1366-5820
Appears in Collections:Elektrik ve Elektronik Mühendisliği Bölümü / Department of Electrical & Electronics Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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