Infinite dimensional and reduced order observers for Burgers equation

Date
2005
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
International Journal of Control
Print ISSN
0020-7179
Electronic ISSN
Publisher
Taylor & Francis
Volume
78
Issue
11
Pages
864 - 874
Language
English
Journal Title
Journal ISSN
Volume Title
Series
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.

Course
Other identifiers
Book Title
Citation
Published Version (Please cite this version)