Robust H2 control of uncertain discrete-time linear systems with periodically time-varying memory state-feedback

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

1 被引用数 (Scopus)

抄録

This study is concerned with the synthesis of periodically time-varying memory state-feedback controllers (PTVMSFCs) for discrete-time linear systems. In our preceding studies, we have already established a solid theoretical basis for the LMI-based (robust) H-PTVMSFCs synthesis, and the goal of this paper is to extend those results to the H2 performance criterion. In the H2 case, the main difficulty stems from the fact that we have to ensure the existence of common auxiliary variables for multiple LMI conditions that are related to the Lyapunov inequality and inequalities for bounding traces that characterize the H2 norm. We can indeed overcome this difficulty and derive a necessary and sufficient LMI condition for the optimal H2-PTVMSFC synthesis. Based on this result, we also consider robust H2-PTVMSFC synthesis for polytopictype uncertain LTI systems.

本文言語英語
ホスト出版物のタイトル2010 IEEE International Symposium on Computer-Aided Control System Design, CACSD 2010
ページ357-362
ページ数6
DOI
出版ステータス出版済み - 12 13 2010
外部発表はい
イベント2010 IEEE International Symposium on Computer-Aided Control System Design, CACSD 2010 - Yokohama, 日本
継続期間: 9 8 20109 10 2010

出版物シリーズ

名前Proceedings of the IEEE International Symposium on Computer-Aided Control System Design

その他

その他2010 IEEE International Symposium on Computer-Aided Control System Design, CACSD 2010
Country日本
CityYokohama
Period9/8/109/10/10

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Control and Optimization

フィンガープリント 「Robust H<sub>2</sub> control of uncertain discrete-time linear systems with periodically time-varying memory state-feedback」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル