Study on Advanced Development and Systematization of Analysis and Design Methods for Control Systems via an Operator-Theoretic Approach

• Project/Area Number: 18560432
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Control engineering
• Research Institution: Kyoto University
• Principal Investigator: HAGIWARA Tomomichi Kyoto University, 大学院・工学研究科, 教授 (70189463)
• Project Period (FY): 2006 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥4,060,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥660,000); Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2007: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2006: ¥1,200,000 (Direct Cost: ¥1,200,000)
• Keywords: サンプル値系 / ロバスト安定解析 / 高速リフティング / 周期時変スケーリング / 離散時間系 / (D,G)スケーリング / 線形分数変換 / 伝達作用素 / KYP補題 / 周期時変系 / 周波数応答作用素 / パラメータ不確かさ / ロバスト性能解析 / ディジタル制御装置 / ロバスト安定化 / 非因果的周期時変スケーリン / μ解析

Research Abstract

近年、制御系においてコンピュータを活用することが浸透している。しかし、コンピュータは、本質的に連続時間的には動作できず、離散時間的にしか動作し得ない。その一方で、制御系の性能は、時々刻々と連続時間的に変化する信号をいかにうまく制御可能であるかという観点で評価される。そのような事情から、コンピュータを利用した制御系の性能解析や、その考え方に基づく制御系設計においては、連続時間信号と離散時間信号の双方をいかにして一貫性を持たせて取り扱うのか、という視点の取り方が、きわめて重要な役割を果たす。このような観点に関してひとつの明解な解答を提示することのできる数学的枠組みとして、関数解析に基づく作用素理論を援用する方法を対象として研究を行っている。そのような方法について、より洗練された方法への深化と、より一般的な方法への拡張を行い、成果を得た。

Research Products

• [Journal Article] Modified Fast-Sample/Fast-Hold Approximation and γ-independent H∞-Discretization for General Sampled-Data (2009)
  • Author(s): T. Hagiwara, K, Okada
  • Journal Title: International Journal of Control (掲載決定)
  • Peer Reviewed
• [Journal Article] Separator-Type Robust Stability Theorem of Sampled-Data Systems Allowing Noncausal LPTV Scaling (2009)
  • Author(s): T, Hagiwara
  • Journal Title: Automatica (掲載決定)
  • NAID: 120001462501
  • Peer Reviewed
• [Journal Article] Linear Periodically Time-Varying Scaling and Its Properties (2008)
  • Author(s): T. Hagiwara and R. Mori
  • Journal Title: Systems & Control Letters Vol.57, No.10 Pages: 816-821
  • NAID: 120001587279
  • Peer Reviewed
• [Journal Article] Modified Fast-Sample/Fast-Hold Approximation for Sampled-Data System Analysis (2008)
  • Author(s): T. Hagiwara and H. Umeda
  • Journal Title: European Journal of Control Vol.14, No.4 Pages: 286-296
  • Peer Reviewed
• [Journal Article] Linear Periodically Time-Varying Scaling and Its Properties (2008)
  • Author(s): T. Hagiwara and R. Mori
  • Journal Title: Systems & Control Letters (掲載確定)
  • NAID: 120001587279
  • Peer Reviewed
• [Journal Article] An Iterative Method with Guaranteed Convergence for Robust Performance Analysis of Sampled-Data Systems against Parameter Uncertainties (2007)
  • Author(s): T. Hagiwara and K. Horiguchi
  • Journal Title: International Journal of Control Vol.80, No.9 Pages: 1471-1480
  • Peer Reviewed
• [Journal Article] Transfer Functions and Statistical Analysis of FDLCP Systems Described by Higher-Order Differential Equations (2006)
  • Author(s): T. Hagiwara, Discussion on
  • Journal Title: European Journal of Control Vol.12, No.5 Pages: 574-575
  • Peer Reviewed
• [Journal Article] Separator-Type Robust Stability Theorem of Sampled-Data Systems Allowing Noncausal LPTV Scaling
  • Author(s): T. Hagiwara
  • Journal Title: Automatica (to appear)
  • NAID: 120001462501
  • Peer Reviewed
• [Journal Article] Modified Fast-Sample/Fast-Hold Approximation and γ-Independent H_∞-Discretization for General Sampled-Data Systems by Fast-Lifting
  • Author(s): T. Hagiwara and K. Okada
  • Journal Title: International Journal of Control (to appear)
  • Peer Reviewed
• [Journal Article] Discussion on "Transfer functions and analysis of FDLCP systems described by higher order differential
  • Author(s): T.Hagiwara
  • Journal Title: European Journal of Control (掲載決定)
• [Presentation] 非因果的周期時変スケーリングに基づく離散時間ロバスト安定化コントローラの設計 (2009)
  • Author(s): 細江陽平, 萩原朋道
  • Organizer: 計測自動制御学会第9回制御部門大会
  • Place of Presentation: 広島
  • Year and Date: 2009-03-05
• [Presentation] 非因果的ホールドによる積分作用素のスペクトル計算について (2009)
  • Author(s): 平田健太郎, 糸数篤, 萩原朋道
  • Organizer: 計測自動制御学会第9回制御部門大会
  • Place of Presentation: 広島
  • Year and Date: 2009-03-05
• [Presentation] (D, G)-scalingタイプの非因果的周期時変スケーリングを用いたサンプル値系のロバスト安定解析/安定化 (2009)
  • Author(s): 大原康宏, 萩原朋道
  • Organizer: 計測自動制御学会第9回制御部門大会
  • Place of Presentation: 広島
  • Year and Date: 2009-03-04
• [Presentation] LMI を用いた強正実化出力フィードバックコントローラの設計Part 1, Part 2 (2009)
  • Author(s): 大原康宏, 蛯原義雄, 萩原朋道
  • Organizer: 計測自動制御学会関西支部若手研究発表会
  • Place of Presentation: 大阪
  • Year and Date: 2009-01-14
• [Presentation] 静的セパレータにより表現される不等式制約を満たす離散時間コントローラの設計 (2009)
  • Author(s): 細江陽平, 大原康宏, 蛯原義雄, 萩原朋道
  • Organizer: 計測自動制御学会関西支部若手研究発表会
  • Place of Presentation: 大阪
  • Year and Date: 2009-01-14
• [Presentation] 静的セパレータにより表現される不等式制約を満たす離散時間コントローラの設計 (2009)
  • Author(s): 細江陽平, 大原康宏, 蛯原義雄, 萩原朋道
  • Organizer: 計測自動制御学会関西支部若手研究会
  • Place of Presentation: 大阪
  • Year and Date: 2009-01-14
• [Presentation] LMIを用いた強正実化出力フィードバックコントローラの設計Part1, Part2 (2009)
  • Author(s): 大原康宏, 蛯原義雄, 萩原朋道
  • Organizer: 計測自動制御学会関西支部若手研究会
  • Place of Presentation: 大阪
  • Year and Date: 2009-01-14
• [Presentation] Fast-Lifting Approach to Time-Delay Systems : Fundamental Framework (2008)
  • Author(s): T. Hagiwara
  • Organizer: 47th IEEE Conference on Decision and Control
  • Place of Presentation: Cancun
  • Year and Date: 2008-12-10
• [Presentation] Fast-Lifting Approach to Time-Delay Systems : Fundamental Framework (2008)
  • Author(s): T. Hagiwara
  • Organizer: 47th IEEE Conference on Decision and Control
  • Place of Presentation: Cancun, Mexico
  • Year and Date: 2008-12-10
• [Presentation] Frequency-Dependent Scaling Induced by Noncausal Linear Periodically Time-Varying Scaling for Discrete-Time Systems (2008)
  • Author(s): T. Hagiwara and Y. Ohara
  • Organizer: 17th IFAC World Congress
  • Place of Presentation: Seoul
  • Year and Date: 2008-07-08
• [Presentation] γ-Independent H_∞-Discretization of Sampled-Data Systems by Modified Fast-Sample/Fast-Hold Approximation with Fast Lifting (2008)
  • Author(s): T. Hagiwara and K. Okada
  • Organizer: 2008 American Control Conference
  • Place of Presentation: Seattle
  • Year and Date: 2008-06-13
• [Presentation] γ-independent H∞-Discretization of Sampled-Data Systems by Modified Fast-Sample/Fast-Hold Approximation (2008)
  • Author(s): T, Hagiwara, K. Okada
  • Organizer: 2008 American Control Conference
  • Place of Presentation: Seattle
  • Year and Date: 2008-06-13
• [Presentation] 因果的周期時変スケーリングを用いた非線形サンプル値系の安定解析 (2008)
  • Author(s): 守岡賢一, 萩原朋道
  • Organizer: 第52回システム制御情報学会研究発表講演会
  • Place of Presentation: 京都
  • Year and Date: 2008-05-17
• [Presentation] Fast-Lifting Approach to LTI Systems Described by Delay Differential Equations, Part 1 : Fundamental Framework (2008)
  • Author(s): T. Hagiwara
  • Organizer: 計測自動制御学会第8回制御部門大会
  • Place of Presentation: 京都
  • Year and Date: 2008-03-06
• [Presentation] Fast-Lifting Approach to LTI Systems Described by Delay Differential Equations, Part 2 : Numerical Methodvia Reduction to a Finite-Dimensional Convex Problem (2008)
  • Author(s): T. Hagiwara
  • Organizer: 計測自動制御学会第8回制御部門大会
  • Place of Presentation: 京都
  • Year and Date: 2008-03-06
• [Presentation] Robust Stability Analysis and Stabilization of General Sampled-Data Systems with Noncausal Linear Periodically Time-Varying Scaling (2008)
  • Author(s): K. Okada and T. Hagiwara
  • Organizer: 計測自動制御学会第8回制御部門大会
  • Place of Presentation: 京都
  • Year and Date: 2008-03-06
• [Presentation] Robust Stability Analysis of Sampled-Data Systems with Noncausal Periodically Time-Varying Scaling : Optimization of Scaling via Approximate Discretization and Error Bound Analysis (2007)
  • Author(s): T. Hagiwara and H. Umeda
  • Organizer: 46th IEEE Conference on Decision and Control
  • Place of Presentation: New Orleans
  • Year and Date: 2007-12-14
• [Presentation] 離散時間系の非因果的周期時変スケーリング : 静的セパレータから誘導される周波数依存スケーリングに基づくロバスト安定解析 (2007)
  • Author(s): 大原康宏, 萩原朋道
  • Organizer: 計測自動制御学会第36回制御理論シンポジウム
  • Place of Presentation: 札幌
  • Year and Date: 2007-09-07
• [Presentation] 離散時間系の非因果的周期時変スケーリング:静的セパレータから誘導される周波数依存スケーリングに基づくロバスト安定解析 (2007)
  • Author(s): 大原康宏、萩原朋道
  • Organizer: 計測自動制御学会第36回制御理論シンポジウム
  • Place of Presentation: 札幌
  • Year and Date: 2007-09-06
• [Presentation] サンプル値系の高速リフティングに基づく補正型Fast-Sample/Fast-Hold近似によるγに依存しないH_∞離散化 (2007)
  • Author(s): 岡田幸一郎, 萩原朋道
  • Organizer: 計測自動制御学会第36回制御理論シンポジウム
  • Place of Presentation: 札幌
  • Year and Date: 2007-09-05
• [Presentation] サンプル値系の高速リフティングに基づく補正型Fast-Sample/Fast-Hold近似によるγに依存しないH∞離散化 (2007)
  • Author(s): 岡田幸一郎、萩原朋道
  • Organizer: 計測自動制御学会第36回制御理論シンポジウム
  • Place of Presentation: 札幌
  • Year and Date: 2007-09-05
• [Presentation] Noncausal Linear Periodically Time-Varying Scaling for Discrete-Time Systems (2007)
  • Author(s): T. Hagiwara and Y. Ohara
  • Organizer: IFAC Workshop on Periodic System Control
  • Place of Presentation: St. Petersburg, Russia
  • Year and Date: 2007-08-31
• [Presentation] Noncausal Linear Periodically Time-Varying Scaling for Discrete-Time Systems (2007)
  • Author(s): T. Hagiwara and Y. Ohara
  • Organizer: IFAC Workshop on Periodic Control Systems
  • Place of Presentation: St. Petersburg
  • Year and Date: 2007-08-29
• [Presentation] Modified Fast-Sample/Fast-Hold Approximation for Sampled-Data System Analysis (2007)
  • Author(s): T. Hagiwara and H. Umeda
  • Organizer: European Control Conference 2007
  • Place of Presentation: Kos
  • Year and Date: 2007-07-04
• [Presentation] Modified Fast-Sample/Fast-Hold Approximation for Sampled-Data System Analysis (2007)
  • Author(s): T. Hagiwara and H. Umeda
  • Organizer: European Control Conference
  • Place of Presentation: Kos, Greece
  • Year and Date: 2007-07-03
• [Presentation] 非因果的周期時変スケーリングを用いた離散時間系のロバスト安定解析 (2007)
  • Author(s): 大原康宏, 萩原朋道
  • Organizer: 第51回システム制御情報学会研究発表講演会
  • Place of Presentation: 京都
  • Year and Date: 2007-05-16
• [Presentation] 非因果的周期時変スケーリングに基づくサンプル値系のロバスト安定解析 (2007)
  • Author(s): 梅田紘章, 萩原朋道
  • Organizer: 第51回システム制御情報学会研究発表講演会
  • Place of Presentation: 京都
  • Year and Date: 2007-05-16
• [Presentation] 非因果的周期時変スケーリングに基づくサンプル値系のロバスト安定解析と安定化 (2007)
  • Author(s): 梅田紘章, 萩原朋道
  • Organizer: 計測自動制御学会第7回制御部門大会
  • Place of Presentation: 東京
  • Year and Date: 2007-03-07
• [Presentation] Discretization of Continuous-Time Controllers Based on the Hilbert-Schmidt Norm of the Sampled-Data Frequency Response (2006)
  • Author(s): T. Hagiwara, H. Umeda and M. Sawada
  • Organizer: 45th IEEE Conference on Decision and Control
  • Place of Presentation: San Diego
  • Year and Date: 2006-12-14
• [Presentation] A Study on Robust Stability Analysis of Sampled-Data Systems against Parametric Uncertainties via a Separator-Type Stability Theorem (2006)
  • Author(s): T. Hagiwara and H. Tanaka
  • Organizer: SICE-ICASE International Joint Conference 2006
  • Place of Presentation: Pusan
  • Year and Date: 2006-10-20
• [Presentation] サンプル値系のH_∞ノルム解析における補正型Fast-Sample/Fast-Hold近似 (2006)
  • Author(s): 梅田紘章, 萩原朋道
  • Organizer: 計測自動制御学会第35回制御理論シンポジウム
  • Place of Presentation: 大阪
  • Year and Date: 2006-09-21
• [Presentation] Causal/Noncausal Linear Periodically Time-Varying Scaling for Robust Stability Analysis and Their Properties, Proc (2006)
  • Author(s): T. Hagiwara
  • Organizer: the 17th International Symposium on Mathematical Theory of Networks and Systems
  • Place of Presentation: Kyoto
  • Year and Date: 2006-07-25
• [Presentation] Robust Stability Analysis of Sampled-Data Systems via Periodically Time-Varying Scaling (2006)
  • Author(s): T. Hagiwara and R. Mori
  • Organizer: 2006 American Control Conference
  • Place of Presentation: Minneapolis
  • Year and Date: 2006-06-14
• [Presentation] Discretization of Continuous-Time Controllers Based on the Hilbert-Schmidt Norm of the Sampled-Data Frequency Response (2006)
  • Author(s): T. Hagiwara, H. Umeda and M. Sawada
  • Organizer: 第6回計測自動制御学会制御部門大会
  • Place of Presentation: 名古屋
  • Year and Date: 2006-05-31
• [Presentation] Causal/Noncausal Linear Periodically Time-Varying Scaling for Robust Stability Analysis, Part I. Robust Stability Condition Allowing Noncausal Scaling (2006)
  • Author(s): T. Hagiwara
  • Organizer: 第6回計測自動制御学会制御部門大会
  • Place of Presentation: 名古屋
  • Year and Date: 2006-05-31
• [Presentation] Causal/Noncausal Linear Periodically Time-Varying Scaling for Robust Stability Analysis, Part II. Properties of Causal/Noncausal Scaling (2006)
  • Author(s): T. Hagiwara
  • Organizer: 第6回計測自動制御学会制御部門大会
  • Place of Presentation: 名古屋
  • Year and Date: 2006-05-31
• [Presentation] セパレータ型安定定理に基づくサンプル値制御系のロバスト安定解析に関する考察 (2006)
  • Author(s): 田中寛朗, 萩原朋道
  • Organizer: 第50回システム制御情報学会研究発表講演会
  • Place of Presentation: 京都
  • Year and Date: 2006-05-11
• [Presentation] パラメータの不確かさに関するサンプル値系のロバスト強正実解析 (2006)
  • Author(s): 堀口和洋, 萩原朋道
  • Organizer: 第50回システム制御情報学会研究発表講演会
  • Place of Presentation: 京都
  • Year and Date: 2006-05-11