周波数応答を用いた固定次数Youlaパラメータの設計法

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: 2018/12/01

タイトル(英語): Frequency-Responses-Based Design of Fixed-Order Youla Parameter

著者名: 岡村　雅行（三重大学），弓場井　一裕（三重大学），矢代　大祐（三重大学），駒田　諭（三重大学）

著者名(英語): Masayuki Okamura (Mie University), Kazuhiro Yubai (Mie University), Daisuke Yashiro (Mie University), Satoshi Komada (Mie University)

キーワード: Youlaパラメータ，双対Youlaパラメータ，周波数応答，凸最適化　　Youla parameter，Dual Youla parameter，frequency responses，convex optimization

要約(英語): Generally, there are unmodelled dynamics and uncertainty between an actual plant and its mathematical model. which causes performance degradation or destabilization of the control system at worst. This paper focuses on mini-mization of performance degradation between the nominal performance and the actual performance by appropriately designing a Youla parameter in the presence of unmodelled dynamics and uncertainty of the plant. By introducing the Youla parameter and the dual Youla parameter, control performance is analyzed using coprime factorizations of the plant and the controller, and then a design method of a fully-parameterized fixed-order Youla parameter based on frequency responses of the plant is formulated for Single-Input-Single-Output systems as a convex optimization problem. The one of merits of the proposed method is to directly design a low-order Youla parameter from frequency responses without any controller reduction techniques. The effectiveness of the proposed method is confirmed by some experiments.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.138 No.12 （2018） 特集：電気・電子・情報関係学会東海支部連合大会

本誌掲載ページ: 1469-1477 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/138/12/138_1469/_article/-char/ja/