一般化最小分散制御系の制御則極と故障時定常ゲインの数式表現

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: 2018/07/01

タイトル(英語): Mathematical Expressions of Controller Poles and Steady Gain of Generalized Minimum Variance Control System

著者名: 吉永　慎一（国立高等専門学校機構　香川高専），逸見　知弘（国立高等専門学校機構　香川高専），井上　昭（岡山大学），矢納　陽（川崎医療福祉大学），鄧　明聡（東京農工大学）

著者名(英語): Shin-ich Yoshinaga (National Institute of Technology, Kagawa College), Tomohiro Henmi (National Institute of Technology, Kagawa College), Akira Inoue (Okayama University), Akira Yanou (Kawasaki University of Medical Welfare), Mingcong Deng (Tokyo Universi

キーワード: 耐故障制御，閉ループ極，制御則極，定常ゲイン，数式処理ソフト　　fault tolerant control，closed-loop pole，controller pole，steady state gain，symbolic processing software

要約(英語): This paper gives mathematical expressions of three control specifications of an extended generalized minimum variance control(GMVC). The specifications are (1) the closed-loop poles including cancelled poles, (2) controller poles and (3) the steady state gain when output feedback is cut caused by a fault. The most important issue in operating plants is safety. One effective scheme for safety control is fault tolerant control which ensures plant safety when fault occurs in both of transient state and steady state. That is, in fault, (1) transient response should not be dangerous, that is, have not a large overshoot and not be strongly oscillatory, and (2) steady state gain should not be large. Transient response is settled by the closed-loop poles and the controller poles. Hence to design fault tolerant control, this paper obtains mathematical expressions of the above three specifications. GMVC had a pioneering role to model predictive control and is applied in industry. Hence, this paper obtains mathematical expressions of the specifications of GMVC. To design the controller poles, this paper uses an extended generalized controller by coprime factorization approach. Once these expressions are obtained, then we can decide design parameters straightforwardly to ensure the control specifications. These expressions include the design parameters as mathematical symbols, hence to derive the expressions, this paper uses symbolic processing software and to solve the expressions symbolically.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.138 No.7 （2018）特集：平成29年電子・情報・システム部門大会

本誌掲載ページ: 846-852 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/138/7/138_846/_article/-char/ja/