論文 - 高橋 伸弥
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Eigenvalue assignment for periodic continuous-time systems by sampled output periodic hold control
Takahashi N., Kono M., Kose A., Ishitobi M.
IFAC Proceedings Volumes (IFAC-PapersOnline) 37 ( 12 ) 151 - 154 2004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：IFAC Proceedings Volumes (IFAC-PapersOnline)
Copyright © 2004 IFAC This paper proposes a method of eigenvalue assignment of linear periodic continuous-time systems by "sampled output periodic hold (SOPH)" control. It is shown that all eigenvalues can be assigned arbitrarily by using SOPH control if and only if the open-loop system is controllable and sample-observable, and an explicit formula for a periodic feedback gain is given. This method is illustrated by a numerical example.
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河野 通夫, 唐 一兵, 高橋 伸弥, 佐藤 治
システム制御情報学会論文誌 16 ( 10 ) 507 - 512 2003年10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
This paper proposes two algorithms (Algorithm I and Algorithm II) for solving a stochastic discrete algebraic Riccati equation, which arises in stochastic optimal control for the discrete-time system. Our algorithms are generalized versions of Hewer's algorithm. Algorithm I has the quadratic convergence but requires to solve a sequence of non-standard Lyapunov equations. On the other hand, Algorithm II needs the solutions of standard discrete Lyapunov equations, which can be solved easily, but it has a linear convergent term. By a numerical example, it is shown that Algorithm I is superior to Algorithm II in the case of large dimension.
DOI： 10.5687/iscie.16.507
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Stabilization of networked control systems with communication bus under limited bandwidth (jointly worked) 査読あり
Nobuya Takahashi, Michio Kono, Atsunori Kose
Proceedings of the 7th world multiconference on Systemics, Cybernetics and Informatics VII 247 - 252 2003年7月
記述言語：英語 掲載種別：研究論文（国際会議プロシーディングス）
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Solvability of norm-type discrete algebraic Riccati equation
Kono M., Takahashi N., Sakamoto M.
European Control Conference, ECC 2003 1327 - 1332 2003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：European Control Conference, ECC 2003
© 2003 EUCA.This paper proposes a norm-type discrete algebraic Riccati Equation, which is a generalized version of the well-known standard discrete algebraic Riccati Equation, and has additional norm terms. Under stabilizability and assumption that the additional terms are not too large, the existence of a positive semidefinite solution is guaranteed. Application to guaranteed cost control is given.
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Stabilization of LTI systems with periodic communication constrains by output sampled hold control (jointly worked) 査読あり
Nobuya Takahashi, Michio Kono
Proceedings of the 8th international symposium on Artificial Life and Robotics 1 110 - 113 2003年1月
記述言語：英語 掲載種別：研究論文（国際会議プロシーディングス）
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周期係数カルマンフィルタを用いた周期的通信制約があるシステムの安定化
河野 通夫, 古瀬 敦典, 高橋 伸弥
自動制御連合講演会講演論文集 46 ( 0 ) 683 - 684 2003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：自動制御連合講演会
This paper considers feedback control systems wherein the control loops are closed through a real time network, and expresses the LTI system with the constraint in an input/output as a periodic discrete time system. We shall stabilize this system by using periodic Kalman filter. A numerical example shows that our method is effective.
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Generalization of guaranteed cost control - Extension to the case with cross terms (jointly worked) 査読あり
Michio Kono, Nobuya Takahashi, Osamu Sato, Asaji Sato
Proceedings of the SICE Annual Conference 2002 in Osaka 542 - 545 2002年8月
記述言語：英語 掲載種別：研究論文（国際会議プロシーディングス）
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ノルム型上界に基づくギャランティードコスト制御 : 入力行列にも変動がある場合への拡張
佐藤 治, 河野 通夫, 高橋 伸弥, 佐藤 浅次
システム制御情報学会論文誌 15 ( 2 ) 106 - 108 2002年2月
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Guaranteed cost control on the basis of norm-type upper bound (jointly worked) 査読あり
Nobuya Takahashi, Michio Kono, Osamu Sato, Asaji Sato
Proceedings of the 7th international symposium on Artificial Life and Robotics 2 594 - 597 2002年1月
記述言語：英語 掲載種別：研究論文（国際会議プロシーディングス）
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河野 通夫, 高橋 伸弥
宮崎大學工學部紀要 30 327 - 328 2001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
In the previous paper, the author has proposed guaranteed cost contol, 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 discrete-time system. This method guarantees robust stability, but does not require the matching condition in contrast to other quadratic stability methods. In Section 3, it is shown that if a Riccati-like discrete algebraic equation with the upper bound matrix term has a semi-positive definite solution and a detectability condition is satisfied, the close-loop system is robust stable.
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河野 通夫, 高橋 伸弥, 平沼 賢次, 佐藤 治
システム制御情報学会論文誌 13 ( 11 ) 504 - 510 2000年11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
This paper considers a continuous algebraic Riccati equation with an additional norm-type term. This equation is called a norm-type algebraic Riccati equation and arises in guaranteed cost control on the basis of a norm-type upper bound. It is shown that there exists a solution under the stabilizability condition and the assumption that the additional term is not too large. Also, the well-known Kleinman's algorithm is extended to this case.
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高橋 伸弥, 樫原 博史, 河野 通夫
宮崎大學工學部紀要 29 331 - 334 2000年9月
記述言語：日本語 掲載種別：研究論文（学術雑誌） 出版者・発行元：宮崎大学
In a magnetic levitation system, undesirable offset and vibration appear. The purpose of this paper is to remove them. They are due to eddy current, linearization error and secular change. By applying a guaranteed cost control law, it suceeded in reducing the offset, but on the vibration, expected effect was not obtained.
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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.