ID | 55356 |
FullText URL | |
Author |
Noso, Katsuyuki
Okayama University
Takahashi, Akiko
Okayama University
Funabiki, Shigeyuki
Okayama University
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Abstract | For linear distributed parameter systems with a finite number of boundary inputs, we propose a framework to implement the method of weighted residuals using candidate trial functions without boundary homogenization. Proposed scheme utilizes inner product matrix, or Grammian, of the trial functions to separate appropriate homogenized basis functions and the other trial functions matching inhomogeneous boundary conditions. The finite-dimensional approximate model by using the proposed scheme is represented in descriptor form and it is proved to be straightforwardly transformed into state space form. Feasibility of the method is illustrated by a brief controller design example using the approximate model of a heat conduction rod with Dirichlet boundary input.
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Keywords | Distributed parameter systems
Method of weighted residuals
Boundary conditions
Reduced-order models
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Note | This is an Accepted Manuscript of an article published by Elsevier
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Published Date | 2016-08-09
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Publication Title |
IFAC-Papers OnLine
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Volume | volume49
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Issue | issue8
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Publisher | Elsevier
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Start Page | 7
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End Page | 12
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ISSN | 2405-8963
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Content Type |
Journal Article
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language |
Japanese
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OAI-PMH Set |
岡山大学
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Copyright Holders | https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ja
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File Version | author
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DOI | |
Web of Science KeyUT | |
Related Url | https://doi.org/10.1016/j.ifacol.2016.07.410
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