線形離散時間系の特異な重みを有するLQ制御問題について

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: 2023/01/01

タイトル(英語): On LQ Control Problem for Linear Discrete-Time Systems with Singular Weightings

著者名: 加瀬　渡（大阪工業大学 工学部）

著者名(英語): Wataru Kase (Faculty of Engineering, Osaka Institute of Technology)

キーワード: LQ制御問題，インナー化，特異な重み，離散時間系，全域通過インタラクタ，最小位相鏡像_x000D_　　LQ control problem，innerization，singular weightings，discrete-time system，interactor with all-pass property，minimum phase image

要約(英語): In this paper, we discuss the LQ problem for discrete-time linear systems with singular weightings. The interactor with all-pass property is used to properize a given strictly proper system. In our approach, the type of Riccati equation to be solved is different from the result for a square trasfer function matrix case. The relation between our approach and the former result is discussed. Unlike the square case, the explicit solution to the problem cannot be obtained and a recursive method to solve the Riccati equation is shown. An application to the finite settling-time control is also discussed.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.143 No.1 （2023） 特集：電子回路関連技術

本誌掲載ページ: 76-81 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/143/1/143_76/_article/-char/ja/