Non-Lexicographically-Fixedな線形時変離散時間多変数系に対する極配置とオブザーバの一設計法

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: 2013/02/01

タイトル(英語): A Design Method of Pole Placement and Observer for Non-Lexicographically-Fixed Linear Time-Varying Discrete MIMO Systems

著者名: 武藤　康彦（上智大学理工学部機能創造理工学科），原　智啓（上智大学大学院理工学研究科理工学専攻）

著者名(英語): Yasuhiko Mutoh (Dept. of Engineering and Applied Sciences, Sophia University), Tomohiro Hara (Faculty of Science and Technology, Sophia University)

キーワード: 線形時変システム，多変数離散時間システム，極配置，オブザーバ，Non-Lexicographically-Fixedシステム　　Linear Time-Varying System，Multivariable Discrete System，Pole Placement，Observer，Non-Lexicographically-Fixed System

要約(英語): The linear time-varying multivariable system whose controllability indices or observability indices are not constant is called the non-lexicographically-fixed system. Valasek proposed the pole placement design method for such a continuous system by augmenting the system equation so that the augmented system is lexicographically-fixed. This paper concerns the pole placement and the observer design method for linear time-varying discrete non-lexicographically-fixed system. Using the Valasek's idea, the procedure to augment a discrete non-lexicographically-fixed system to a lexicographically-fixed augmented system will be presented. Then, the simple pole placement technique can be applied to the augmented system without transforming the system into any canonical form. Further, using the property of the anti-causal dual system, it will be shown that the pole placement design method can be used for the augmented observer for non-lexicographically-fixed systems. Finally, the stability and the separation principle of the total closed loop system are also shown for the case where both of the augmented pole placement controller and the augmented observer are used.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.133 No.2 （2013） 特集：省電力時代の電子回路技術

本誌掲載ページ: 365-372 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/133/2/133_365/_article/-char/ja/