論文

2005年11月

A dilated LMI approach to robust performance analysis of linear time-invariant uncertain systems

AUTOMATICA
  • Y Ebihara
  • ,
  • T Hagiwara

41
11
開始ページ
1933
終了ページ
1941
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1016/j.automatica.2005.05.023
出版者・発行元
PERGAMON-ELSEVIER SCIENCE LTD

This paper studies robust performance analysis problems of linear time-invariant systems affected by real parametric uncertainties. In the case where the state-space matrices of the system depend affinely on the uncertain parameters, it is know that recently developed extended or dilated linear matrix inequalities (LMls) are effective to assess the robust performance in a less conservative fashion. This paper further extends those preceding results and propose a unified way to obtain numerically verifiable dilated LMI conditions even in the case of rational parameter dependence. In particular, it turns out that the proposed dilated LMIs enable us to assess the robust performance via multiaffine parameter-dependent Lyapunov variables so that less conservative analysis results can be achieved. Connections among the proposed conditions and existing results are also discussed concretely. Several existing results can be viewed as particular cases of the proposed conditions. (c) 2005 Elsevier Ltd. All rights reserved.

リンク情報
DOI
https://doi.org/10.1016/j.automatica.2005.05.023
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000232674300009&DestApp=WOS_CPL
ID情報
  • DOI : 10.1016/j.automatica.2005.05.023
  • ISSN : 0005-1098
  • eISSN : 1873-2836
  • Web of Science ID : WOS:000232674300009

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