ID 55356
フルテキストURL
著者
Imai, Jun Okayama University
Noso, Katsuyuki Okayama University
Takahashi, Akiko Okayama University
Funabiki, Shigeyuki Okayama University
抄録
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.
キーワード
Distributed parameter systems
Method of weighted residuals
Boundary conditions
Reduced-order models
備考
This is an Accepted Manuscript of an article published by Elsevier
発行日
2016-08-09
出版物タイトル
IFAC-Papers OnLine
49巻
8号
出版者
Elsevier
開始ページ
7
終了ページ
12
ISSN
2405-8963
資料タイプ
学術雑誌論文
言語
Japanese
OAI-PMH Set
岡山大学
著作権者
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ja
論文のバージョン
author
DOI
Web of Sience KeyUT
関連URL
https://doi.org/10.1016/j.ifacol.2016.07.410
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