時変むだ時間を含む中立系における逆LQレギュレータの指数安定度指定

カテゴリ: 論文誌(論文単位)

グループ名: 【C】電子・情報・システム部門

発行日: 2016/10/01

タイトル(英語): Exponential Stability Assignment of Inverse LQ Regulator for Neutral Systems with Time-Varying Delay

著者名: 松木　剛志（新居浜工業高等専門学校 電子制御工学科），久保　智裕（徳島大学大学院理工学研究部），大屋　英稔（東京都市大学知識工学部情報科学科）

著者名(英語): Tsuyoshi Matsuki (Department of Electronics and Control Engineering, National Institute of Technology, Niihama College), Tomohiro Kubo (Institute of Science and Technology, Tokushima University), Hidetoshi Oya (Department of Computer Science, Faculty of Knowledge Engineering, Tokyo City University)

キーワード: 指数安定度，時変むだ時間，中立型むだ時間系，LQレギュレータ，線形行列不等式　　degree of exponential stability，time-varying delay，neutral system，LQ regulator，LMI

要約(英語): In this paper, we propose a design method of an inverse LQ regulator for neutral systems with a time-varying delay, in which the resulting system is assured to have a pre-assigned degree of exponential stability. Using this method, the closed-loop system is asymptotically stabilized and a feedback law constructed easily is the optimal control minimizing a class of a cost functional without relation to the exponential stability assignment. In addition, the regulator promises to have a good robust stability as same as ordinary finite dimensional LQ regulators, even when a static nonlinear or a dynamic linear perturbation is inserted in the control input. Finally, the method is demonstrated by numerical examples with and without the exponential stability assignment. In the simulation, it is shown that the proposed method allows designers to seek more fast closed-loop responses by selecting two scalar parameters and the degree of exponential stability in a condition given by LMIs.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.136 No.10 （2016） 特集：電気関係学会四国支部連合大会

本誌掲載ページ: 1466-1472 p

原稿種別: 論文／日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejeiss/136/10/136_1466/_article/-char/ja/