FullText URL IFAC_49_8_7.pdf
Author Imai, Jun| Noso, Katsuyuki| Takahashi, Akiko| Funabiki, Shigeyuki|
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
File Version author
DOI 10.1016/j.ifacol.2016.07.410
Web of Sience KeyUT 000381505200003
Related Url https://doi.org/10.1016/j.ifacol.2016.07.410