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ID 55356
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Author
Imai, Jun Okayama University
Noso, Katsuyuki Okayama University
Takahashi, Akiko Okayama University
Funabiki, Shigeyuki Okayama University
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.
Keywords
Distributed parameter systems
Method of weighted residuals
Boundary conditions
Reduced-order models
Note
This is an Accepted Manuscript of an article published by Elsevier
Published Date
2016-08-09
Publication Title
IFAC-Papers OnLine
Volume
volume49
Issue
issue8
Publisher
Elsevier
Start Page
7
End Page
12
ISSN
2405-8963
Content Type
Journal Article
language
日本語
OAI-PMH Set
岡山大学
Copyright Holders
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ja
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author
DOI
Web of Sience KeyUT
Related Url
https://doi.org/10.1016/j.ifacol.2016.07.410