MISC

査読有り
2009年

Further Results on Periodically Time-Varying Memory State-Feedback Controller Synthesis for Discrete-Time Linear Systems

PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009)
  • Yoshio Ebihara
  • ,
  • Yuki Kuboyama
  • ,
  • Tomomichi Hagiwara
  • ,
  • Dimitri Peaucelle
  • ,
  • Denis Arzelier

開始ページ
702
終了ページ
707
記述言語
英語
掲載種別
DOI
10.1109/CDC.2009.5399919
出版者・発行元
IEEE

In this paper, we enhance the quality of our preceding results on periodically time-varying memory state-feedback controller (PTVMSFC) synthesis for discrete-time linear periodic/time-invariant systems. We firstly revisit PTVMSFC synthesis for certain systems and derive a necessary and sufficient LMI condition for the existence of the desired H-infinity-PTVMSFCs. Based on these LMIs, we next consider robust H-infinity-PTVMSFC synthesis for polytopic-type uncertain systems and demonstrate that we can obtain less conservative results. We finally derive a test to verify that the designed PTVMSFC is "exact" in the sense that it attains the best achievable robust H-infinity performance. This exactness verification test works fine in practice, and we show via numerical examples that exact robust control is indeed possible via PTVMSFCs, even for those problems where the standard static state-feedback fails.

リンク情報
DOI
https://doi.org/10.1109/CDC.2009.5399919
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000336893601033&DestApp=WOS_CPL
ID情報
  • DOI : 10.1109/CDC.2009.5399919
  • ISSN : 0743-1546
  • Web of Science ID : WOS:000336893601033

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