論文 - 高橋 伸弥
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河野 通夫, 鈴木 達雄, 高橋 伸弥
宮崎大學工學部紀要 29 321 - 325 2000年9月
記述言語：日本語 掲載種別：研究論文（学術雑誌） 出版者・発行元：宮崎大学
Chang and Peng have proposed guaranteed cost control, which is a design procedure of state-feedback systems that guarantees a certain level of linear-quadratic performance for all admissible plant perturbations in a continuous-time system. This method guarantees robust stability, but does not require the matching condition in contrast to other quadratic stability methods. However, the exisitence of a controller is guaranteed only for a restricted class of perturbations. In this paper, we propose guaranteed cost control for a discrete-time system. In Section 3, under the assumption that there exists an upper bound matrix for the perturbations, an algebraic equation which includes the upper bound matrix term is derived. In Section 4, it is shown that if the above equation has a semi-positive definite solution and an obsevability condition is satisfied, the closed-loop system is robust stable.
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離散時間システムのギャランティードコスト制御に関する一考察 （共著）
河野 通夫, 鈴木 達雄, 高橋 伸弥
宮崎大学工学部紀要 ( 29 ) 321 - 325 2000年9月
記述言語：日本語 掲載種別：研究論文（大学，研究機関等紀要）
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磁気浮上系に関する実験的考察
高橋 伸弥, 樫原 博史, 河野 通夫
宮崎大学工学部紀要 ( 29 ) 331 - 334 2000年9月
記述言語：日本語 掲載種別：研究論文（大学，研究機関等紀要）
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ギャランティードコスト制御の一般化 （共著） 査読あり
高橋 伸弥, 河野 通夫, 平沼 賢次, 佐藤 治
日本機械学会論文集(Ｃ編) 66 ( 645 ) 1531 - 1536 2000年5月
記述言語：日本語 掲載種別：研究論文（学術雑誌）
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Generalization of Guaranteed Cost Control
Takahashi N., Kono M., Hiranuma K., Sato O.
Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 66 ( 645 ) 1531 - 1536 2000年
記述言語：日本語 掲載種別：研究論文（学術雑誌） 出版者・発行元：Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Chang and Peng proposed a disign procedure of state-feedback systems that guarantees a certain level of linear-quadratic cost for all admissible perturbations. This is called guaranteed cost control. But they considered the case when an input matrix has special perturbations and guaranteed the existence of a controller only for a restricted class of systems. This paper deals with the case when an input matrix has more genenral perturbations. Firstly, a suffcient condition for robust stabilization is given. Secondly, in contrast to Chang and Peng method, on the basis of a linear upper bound, it is shown that there exists a controller under some reasonable assumptions. © 2000, The Japan Society of Mechanical Engineers. All rights reserved.
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出力サンプルホールド制御による周期係数離散時間システムの安定化 (共著） 査読あり
河野 通夫, 鈴木 達雄, 高橋 伸弥, 佐藤 治
システム制御情報学会論文誌 12 ( 4 ) 220 - 224 1999年12月
記述言語：日本語 掲載種別：研究論文（学術雑誌）
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出力サンプルホールド制御による周期係数離散時間システムの安定化
河野 通夫, 鈴木 達雄, 高橋 伸弥, 佐藤 治
システム制御情報学会論文誌 12 ( 4 ) 220 - 224 1999年4月
記述言語：日本語 掲載種別：研究論文（学術雑誌） 出版者・発行元：システム制御情報学会
In linear ω-periodic discrete-time systems, eigenvalues of the state transition matrix over the time interval nω dominate stability, where <I>n</I> is the dimension of the state vector. The periodic discrete-time system is called to be sample observable when the state can be determined from observation of output at only one time within one period. Under the assumption that eigenvalues of the monodromy matrix in an open-loop system are distinct, it is shown that the closed-loop system can be stabilized by applying the sampled output nω-periodic hold control if and only if the open-loop system is stabilizable and sample detectable at some time t<SUB>0</SUB>.
DOI： 10.5687/iscie.12.220
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河野 通夫, 高橋 伸弥
宮崎大學工學部紀要 27 309 - 310 1998年9月
記述言語：日本語 掲載種別：研究論文（学術雑誌） 出版者・発行元：宮崎大学
A Sylvester equation appears in a design problem of control system. In this paper discrete-time Sylvester equation considered. Several authors have proposed methods to solve it and they are classified into transform methods and iteration methods. The transform method reduces the Sylvester equation to a simple form equation and gets a unique solution. This paper gives a new numerical method for solving a discrete-time Sylvester equation that belongs to transform methods. Our method is based on reducing only one coefficient matrix to a Schur form. This is called one-side-Schur method. Our method is compared with the Hessenberg-Schur method. This shows that the one-side-Schur method is available.
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Sylvester方程式の数値解法 （共著） 査読あり
河野 通夫, 高橋 伸弥, 平沼 賢次
計測自動制御学会論文集 32 ( 5 ) 779 - 781 1996年5月
記述言語：日本語 掲載種別：研究論文（学術雑誌）
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河野 通夫, 高橋 伸弥, 平沼 賢次
計測自動制御学会論文集 32 ( 5 ) 779 - 781 1996年
記述言語：日本語 掲載種別：研究論文（学術雑誌） 出版者・発行元：The Society of Instrument and Control Engineers
This paper gives a new numerical method for solving a Sylvester equation. Our method is based on reducing only one coefficent matrix to a triangular form. On depending on the dimension of the matrices, our method is more effective than the Bartels-Stewart algorithm.