Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/6894
Title: Infinite dimensional and reduced order observers for Burgers equation
Authors: Efe, Mehmet Önder
Özbay, Hitay
Samimy, M.
Keywords: [No Keywords]
Issue Date: 2005
Publisher: Taylor & Francis Ltd
Abstract: Obtaining a representative model in feedback control system design problems is a key step and is generally a challenge. For spatially continuous systems, it becomes more difficult as the dynamics is infinite dimensional and the well known techniques of systems and control engineering are difficult to apply directly. In this paper, observer design is reported for one-dimensional Burgers equation, which is a non-linear partial differential equation. An infinite dimensional form of the observer is demonstrated to converge asymptotically to the target dynamics, and proper orthogonal decomposition is used to obtain the reduced order observer. When this is done, the corresponding observer is shown to be successful under certain circumstances. The paper unfolds the connections between target dynamics, observer and their finite dimensional counterparts. A set of simulation results has been presented to justify the theoretical claims of the paper.
URI: https://doi.org/10.1080/00207170500158813
https://hdl.handle.net/20.500.11851/6894
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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