周波数応答を用いたH∞ループ整形法における制御器の性能レベルを保証する準最適重みの設計
周波数応答を用いたH∞ループ整形法における制御器の性能レベルを保証する準最適重みの設計
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: 2015/07/01
タイトル(英語): Design of Suboptimal Weight Using Frequency Responses Guaranteeing Performance Level of Controller for H∞ Loop Shaping Method
著者名: 久保 貴之(三重大学),弓場井 一裕(三重大学),矢代 大祐(三重大学),平井 淳之(三重大学)
著者名(英語): Takayuki Kubo (Mie University), Kazuhiro Yubai (Mie University), Daisuke Yashiro (Mie University), Junji Hirai (Mie University)
キーワード: H∞ループ整形法,準最適重み,周波数応答,ν-gap,凸最適化 H∞ loop shaping,Suboptimal weight,Frequency response,ν-gap,Convex optimization
要約(英語): The H∞ loop shaping method is known as one of the robust controller design methods. In this method, the design procedure consists of two steps; the weight design and the derivation of a controller. The controller is derived for the weighted plant to suppress the H∞ norm of the transfer matrix consisting of a sensitivity function, a complementary sensitivity function, etc. Therefore, the closed-loop system achieves good tracking and robustness. However, there is only a guideline for the weight design, and an explicit design index of the weight has not been given. As a result, a time-consuming and tedious process is often required to tune the weight. This paper provides a new weight design method for a stable SISO plant. The resulting weight guarantees the upper bound of the performance level before the controller design. This means that the controller design and the weight design are completely separated in contrast to the Lanzon's work. Moreover, the weight is designed using only frequency responses. Accordingly, we can avoid the process of the system identification and reduce the conservativeness caused by an overestimate of the system uncertainty.
本誌: 電気学会論文誌C(電子・情報・システム部門誌) Vol.135 No.7 (2015) 特集:平成26 年電子・情報・システム部門大会
本誌掲載ページ: 856-864 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/135/7/135_856/_article/-char/ja/
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