Gain-Scheduled state-feedback controllers using inexactly measured scheduling parameters: H2 and H problems

Masayuki Sato, Yoshio Ebihara, Dimitri Peaucelle

研究成果: 書籍/レポート タイプへの寄稿会議への寄与

34 被引用数 (Scopus)

抄録

In this note, we address two design problems for Linear Parameter-Varying (LPV) systems; Gain-Scheduled (GS) H2 state-feedback controller design and GS H state-feedback controller design. In sharp contrast to the methods in the literature, the scheduling parameters are supposed to be inexactly measured. The LPV systems are supposed to have polynomially parameter-dependent statespace matrices, and the controllers to be designed are supposed to be rationally parameter-dependent. Using a parametrically affine matrix, which is the inverse of Lyapunov variable, we give formulations for the design of GS H2 and H state-feedback controllers which are robust against the uncertainties in the measured scheduling parameters, in terms of parametrically affine Linear Matrix Inequalities (LMIs). As a special case, our methods include robust controller design using constant Lyapunov variables. Simple numerical examples are included to illustrate our results.

本文言語英語
ホスト出版物のタイトルProceedings of the 2010 American Control Conference, ACC 2010
ページ3094-3099
ページ数6
出版ステータス出版済み - 2010
外部発表はい
イベント2010 American Control Conference, ACC 2010 - Baltimore, MD, 米国
継続期間: 6月 30 20107月 2 2010

出版物シリーズ

名前Proceedings of the 2010 American Control Conference, ACC 2010

会議

会議2010 American Control Conference, ACC 2010
国/地域米国
CityBaltimore, MD
Period6/30/107/2/10

!!!All Science Journal Classification (ASJC) codes

  • 制御およびシステム工学

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