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      • Department of Electrical and Electronics Engineering
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      Proper orthogonal decomposition for reduced order modeling: 2D heat flow

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      Author
      Efe, M. Ö.
      Özbay, Hitay
      Date
      2003-06
      Source Title
      Proceedings of 2003 IEEE Conference on Control Applications, CCA 2003
      Publisher
      IEEE
      Pages
      1273 - 1277
      Language
      English
      Type
      Conference Paper
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      Abstract
      Modeling issues of infinite dimensional systems is studied in this paper. Although the modeling problem has been solved to some extent, use of decomposition techniques still pose several difficulties. A prime one of this is the amount of data to be processed. Method of snapshots integrated with POD is a remedy. The second difficulty is the fact that the decomposition followed by a projection yields an autonomous set of finite dimensional ODEs that is not useful for developing a concise understanding of the input operator of the system. A numerical approach to handle this issue is presented in this paper. As the example, we study 2D heat flow problem. The results obtained confirm the theoretical claims of the paper and emphasize that the technique presented here is not only applicable to infinite dimensional linear systems but also to nonlinear ones.
      Keywords
      Boundary conditions
      Heat transfer
      Mathematical models
      Mathematical operators
      Ordinary differential equations
      Two dimensional
      Finite dimensional ordinary differential equations
      Heat flow
      Proper orthogonal decomposition
      Reduced order modeling
      Control system synthesis
      Permalink
      http://hdl.handle.net/11693/27482
      Published Version (Please cite this version)
      https://doi.org/10.1109/CCA.2003.1223194
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      • Department of Electrical and Electronics Engineering 3619
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