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A Unified Robust Control System Design Based on Finite Frequency Properties : Behavioral Approach

Research Project

Project/Area Number 20860025
Research Category

Grant-in-Aid for Young Scientists (Start-up)

Allocation TypeSingle-year Grants
Research Field Control engineering
Research InstitutionThe University of Tokyo

Principal Investigator

KOJIMA Chiaki  The University of Tokyo, 大学院・情報理工学系研究科, 助教 (00456162)

Project Period (FY) 2008 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥2,808,000 (Direct Cost: ¥2,160,000、Indirect Cost: ¥648,000)
Fiscal Year 2009: ¥1,352,000 (Direct Cost: ¥1,040,000、Indirect Cost: ¥312,000)
Fiscal Year 2008: ¥1,456,000 (Direct Cost: ¥1,120,000、Indirect Cost: ¥336,000)
Keywords統合化設計 / ロバスト制御 / 有限周波数特性 / 消散性理論 / ビヘイビアシステム理論 / 分布定数系 / 双対性
Research Abstract

In this research project, we studied the research topics using quadratic differential forms (QDFs) which play an important roles in the dissipation theory based on behavioral approach. We first characterized the finite frequency properties of distributed systems based on dissipativity and clarified their physical interpretation. moreover, we have derived a necessary and sufficient condition for the stability of two-dimensional distributed systems in terms of QDFs and polynomial matrix equation. Finally, we have derived a synthesis condition of a controller which achieves finite frequency property specifications. A robust control systems design and experimental validations remained as future works.

Report

(3 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • Research Products

    (23 results)

All 2010 2009 2008 Other

All Journal Article (3 results) (of which Peer Reviewed: 2 results) Presentation (17 results) Book (2 results) Remarks (1 results)

  • [Journal Article] Lyapunov stability analysis of higher-order 2-D systems2010

    • Author(s)
      Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba
    • Journal Title

      Multidimensional Systems and Signal Processing (掲載確定)

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Characterizations of Finite Frequency Properties Using Quadratic Differential Forms2010

    • Author(s)
      Chiaki Kojima, Yusuke Kaizuka, Shinji Hara
    • Journal Title

      Mathematical Engineering Technical Reports

    • NAID

      10031140043

    • Related Report
      2009 Final Research Report
  • [Journal Article] Lyapunov stability analysis of higher-order 2-D systems2010

    • Author(s)
      Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba
    • Journal Title

      Multidimensional Systems and Signal Processing 21(印刷中(掲載確定))

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] Achievability Condition for Two-Dimensional Behaviors with a Finite Frequency Specification : Dissipation Inequalities Approach2010

    • Author(s)
      小島千昭, 原辰次
    • Organizer
      第10回SICE制御部門大会
    • Year and Date
      2010-03-16
    • Related Report
      2009 Final Research Report
  • [Presentation] An Achievability Condition for Two-Dimensional Behaviors with a Finite Frequency Specification : Dissipation Inequalities Approach2010

    • Author(s)
      小島千昭, 原辰次
    • Organizer
      第10回SICE制御部門大会
    • Place of Presentation
      熊本県熊本市
    • Year and Date
      2010-03-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Controller Synthesis for Multiple Finite Frequency Specifications : Dissipation Inequalities Approach2010

    • Author(s)
      Chiaki Kojima, Shinji Hara
    • Organizer
      SICE Annual Conference 2008
    • Place of Presentation
      台湾・台北(掲載確定)
    • Related Report
      2009 Final Research Report
  • [Presentation] Lyapunov Stability Analysis of Higher-order 2-D Systems2009

    • Author(s)
      Paolo Rapisarda, Kiyotsugu Takaba, Chiaki Kojima
    • Organizer
      Combined 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
    • Place of Presentation
      中華人民共和国・上海
    • Year and Date
      2009-12-16
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] 有限周波数仕様を達成するコントローラの設計-消散不等式に基づくアプローチ2009

    • Author(s)
      小島千昭, 原辰次
    • Organizer
      SICE第38回制御理論シンポジウム
    • Place of Presentation
      大阪府大阪市
    • Year and Date
      2009-09-14
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] A Time Domain Characterization of Finite Frequency Properties for Multi-Dimensional Behaviors2009

    • Author(s)
      Chiaki Kojima, Shinji Hara
    • Organizer
      European Control Conference 2009
    • Place of Presentation
      ハンガリー・ブダペスト
    • Year and Date
      2009-08-24
    • Related Report
      2009 Final Research Report
  • [Presentation] A Time Domain Characterization of Finite Frequency Properties for Multi-Dimen2009

    • Author(s)
      小島千昭, 原辰次
    • Organizer
      European Control Conference 2009
    • Place of Presentation
      ハンガリー・ブダペスト
    • Year and Date
      2009-08-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] Semidefinite Programming Duality on n-D Behaviors2009

    • Author(s)
      Chiaki Kojima
    • Organizer
      ICROS-SICE International Joint Conference 2009
    • Place of Presentation
      福岡県福岡市
    • Year and Date
      2009-08-20
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] Lyapunov Stability Analysis of Higher-Order 2-D Systems2009

    • Author(s)
      Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba
    • Organizer
      ICROS-SICE International Joint Conference 2009
    • Place of Presentation
      福岡県福岡市
    • Year and Date
      2009-08-20
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] 2次差分形式による2-Dシステムの Lyapunov 安定条件2009

    • Author(s)
      小島千昭, Paolo Rapisarda, 鷹羽浄嗣
    • Organizer
      第53回システム制御情報学会 研究発表講演会
    • Place of Presentation
      兵庫県神戸市
    • Year and Date
      2009-05-21
    • Related Report
      2009 Final Research Report
  • [Presentation] 2次差分形式による2-Dシステムの Lyapunov 安定条件2009

    • Author(s)
      小島千昭, Paolo Rapisarda, 鷹羽浄嗣
    • Organizer
      第53回システム制御情報学会研究発表講演会
    • Place of Presentation
      兵庫県神戸市
    • Year and Date
      2009-05-21
    • Related Report
      2008 Annual Research Report
  • [Presentation] N次元システムの有限周波数特性のLMIによる特徴付け2009

    • Author(s)
      小島千昭, 原辰次
    • Organizer
      第9回計測自動制御学会 制御部門大会
    • Place of Presentation
      広島県東広島市
    • Year and Date
      2009-03-04
    • Related Report
      2009 Final Research Report
  • [Presentation] N次元システムの有限周波数特性のLMIによる特徴付け2009

    • Author(s)
      小島千昭, 原辰次
    • Organizer
      第9回計測自動制御学会制御部門大会
    • Place of Presentation
      広島県東広島市
    • Year and Date
      2009-03-04
    • Related Report
      2008 Annual Research Report
  • [Presentation] Dual Lyapunov Stability Analysis in Behavioral Approach2008

    • Author(s)
      Chiaki Kojima
    • Organizer
      Proceedings of the 47th IEEE Conference on Decision and Control
    • Place of Presentation
      メキシコ・カンクン
    • Year and Date
      2008-12-11
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] Finite Frequency Property Characterization of Two-Dimensional Behaviors2008

    • Author(s)
      小島千昭, 原辰次
    • Organizer
      計測自動制御学会第37回制御理論シンポジウム
    • Place of Presentation
      鹿児島県霧島市
    • Year and Date
      2008-09-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] Time Domain Characterization of Finite Frequency Properties via Behavioral Approach2008

    • Author(s)
      Yusuke Kaizuka, Chiaki Kojima, Shinji Hara
    • Organizer
      SICE Annual Conference 2008
    • Place of Presentation
      東京都調布市
    • Year and Date
      2008-08-21
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] Finite Frequency Property Characterization of Two-Dimensional Behaviors2008

    • Author(s)
      Chiaki Kojima, Shinji Hara
    • Organizer
      計測自動制御学会 第37回制御理論シンポジウム
    • Place of Presentation
      鹿児島県霧島市
    • Year and Date
      2008-08-20
    • Related Report
      2009 Final Research Report
  • [Book] Lyapunov Stability Analysis of Higher-Order 2-D Systems, In Perspectives in Mathematical System Theory, Control, and Signal Processing2010

    • Author(s)
      Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba
    • Publisher
      Springer
    • Related Report
      2009 Final Research Report
  • [Book] Lyapunov Stability Analysis of Higher-Order 2-D Systems, In Perspectives in Mathematical System Theory, Control, and Signal Processing2010

    • Author(s)
      Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba
    • Total Pages
      10
    • Publisher
      Springer Berlin/Heidelberg
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ等

    • Related Report
      2009 Final Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

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