一般化Stability Feelerによる複数の不確かなパラメータを含む対称行列安定区間導出の新手法

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: 2013/06/01

タイトル(英語): New Method to Derive Stability Intervals of Symmetric System Matrices with Multiple Uncertain Parameters Using the Generalized Stability Feeler

著者名: 松田　忠典（東京理科大学 工学部第二部電気工学科），川西　通裕（豊田工業大学），成清　辰生（豊田工業大学）

著者名(英語): Tadasuke Matsuda (Dept. of Electrical Engineering, Faculty of Engineering Division II, Tokyo University of Science), Michihiro Kawanishi (Toyota Technological Institute), Tatsuo Narikiyo (Toyota Technological Institute)

キーワード: ロバスト安定解析，非線形システム，線形化システム，不確かさ，パラメータ空間　　robust stability analysis，nonlinear systems，linearized systems，uncertainties，parameter space

要約(英語): In this paper we present a new method for stability analysis of a class of nonlinear systems. We assume that the nonlinear system can be considered as a linear system with multiple uncertain parameters, of which system matrix is symmetric. Our proposed method enables one to derive complete intervals of an uncertain parameter which stabilize the considered system. The proposed method is based on the generalized stability feeler and the extreme point result for symmetric matrices. The generalized stability feeler is a tool for system matrices with single uncertain parameter. By using the generalized stability feeler, we can derive stability intervals of system matrices with single uncertain parameter. In order to derive stability intervals of system matrices with multiple uncertain parameters, we use not only the generalized stability feeler, but also the extreme point result for symmetric matrices. By using them, a new theorem is derived, which can be used to derive the stability intervals of the considered system.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.133 No.6 （2013） 特集：非線形システムのモデル化・制御理論・応用の最前線

本誌掲載ページ: 1109-1113 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/133/6/133_1109/_article/-char/ja/