On model reduction using LMI's

Yoshio Ebihara, Tomomichi Hagiwara

研究成果: 書籍/レポート タイプへの寄稿会議への寄与

2 被引用数 (Scopus)

抄録

In this paper, we deal with the problem of approximating a given n-th order LTI system G by an r-th order system Gr where r < n. It is shown that lower bounds of the H∞ norm of the associated error system can be analyzed by using LMI-related techniques. These lower bounds are given in terms of the Hankel singular values of the system G and coincide with those obtained in the previous studies where the analysis of the Hankel operators plays a central role. Thus, this paper provides an alternative proof for those lower bounds via simple algebraic manipulations related to LMI's. Moreover, when we reduce the system order by the multiplicity of the smallest Hankel singular value, we show that the problem is essentially convex and the optimal reduced-order models can be constructed via LMI optimization.

本文言語英語
ホスト出版物のタイトルProceedings of the 2004 American Control Conference (AAC)
ページ774-779
ページ数6
DOI
出版ステータス出版済み - 2004
外部発表はい
イベントProceedings of the 2004 American Control Conference (AAC) - Boston, MA, 米国
継続期間: 6月 30 20047月 2 2004

出版物シリーズ

名前Proceedings of the American Control Conference
1
ISSN(印刷版)0743-1619

会議

会議Proceedings of the 2004 American Control Conference (AAC)
国/地域米国
CityBoston, MA
Period6/30/047/2/04

!!!All Science Journal Classification (ASJC) codes

  • 電子工学および電気工学

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