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On MPUM theory for dynamical systems defined by the rings : Kernel representation approach

Research Project

Project/Area Number 19760286
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Control engineering
Research InstitutionKanazawa University (2009)
Osaka University (2007-2008)

Principal Investigator

KANEKO Osamu  Osaka University, 電子情報学系, 准教授 (00314394)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥900,000 (Direct Cost: ¥900,000)
Keywords環上システム / MPUM / kernel表現 / 補間問題 / 多次元システム / 非反証 / Kernel表現 / 制御仕様 / 正準制御器 / ビヘイビア / グレブナ基底
Research Abstract

In this study, we address fundamental issues on the theory of most powerful unfalsified model (which is abbreviated to MPUM)defined on the rings, which is the model unfalsifid by the data or trajectories and is the closest model to the actual dynamical system. Particularly, based on a mathematical model which is called a kernel representation, we mainly obtained the following. We have provided the method and theoretical issues on the problem for unstable systems to be interpolated by using the given data. We have also provided the fundamentals on achievability analysis for multi-dimensional system, which is also one of the important classes of the system defined by the ring as well as conventional 1 dimensional system. We have also provided some new results on data-driven controller synthesis in the unfalsified control framework.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (20 results)

All 2009 2008 2007

All Journal Article (5 results) (of which Peer Reviewed: 4 results) Presentation (15 results)

  • [Journal Article] ビヘイビアアプローチに基づく制御仕様の達成可能性解析2008

    • Author(s)
      金子修
    • Journal Title

      システム/制御/情報 51

      Pages: 414-420

    • NAID

      110006990678

    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Journal Article] Fictitous Reference Iterative Tuningの最適性に関する考察2008

    • Author(s)
      金子修, 宮地誠, 藤井隆雄
    • Journal Title

      計測自動制御学会論文集 44

      Pages: 541-543

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Fictitious Refbrence Iterative Tuningの最適性に関する考察2008

    • Author(s)
      金子修
    • Journal Title

      計速自動制御学会論文集 44

      Pages: 541-543

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Takagi interpolation problem2007

    • Author(s)
      Kaneko, O., Rapisarda, P.
    • Journal Title

      Linear Algebra and Its Applications Issue425

      Pages: 453-470

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the Takagi interpolation problem2007

    • Author(s)
      Osamu Kaneko
    • Journal Title

      Linear Algebra, Its Applications 425

      Pages: 453-470

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] On Control of n-D plant with 1-D controller in a behavioral framework2009

    • Author(s)
      Kaneko, O., Yamamoto, S.
    • Organizer
      European Control Conference 2009
    • Place of Presentation
      The Hotel Intercontinental Budapest, (Republic of Hungary)
    • Year and Date
      2009-08-24
    • Related Report
      2009 Final Research Report
  • [Presentation] On Control of n-D plant with 1-D controller in a behavioral framework2009

    • Author(s)
      Osamu Kaneko
    • Organizer
      European Control Conference 2009
    • Place of Presentation
      The Hotel Inter Continental Budapest Budapest, Repulic of Hungary
    • Year and Date
      2009-08-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] Identification of Hammerstein Model with VRFT in the virtual two-degree of freedom control system2009

    • Author(s)
      Kaneko, O.
    • Organizer
      ICROS-SICE International Joint Conference 2009
    • Place of Presentation
      Fukuoka International Congress center (福岡県)
    • Year and Date
      2009-08-21
    • Related Report
      2009 Final Research Report
  • [Presentation] Identification of Hammerstein Model with VRFT in the virtuaL two-degree of freedom control system2009

    • Author(s)
      Osamu Kaneko
    • Organizer
      ICROS-SICE International Joint Conference 2009
    • Place of Presentation
      Fukuoka International Congress center Fukuoka, Japan
    • Year and Date
      2009-08-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] The parameterization of Stabilizing Canonical controllers: The observable case2009

    • Author(s)
      Kaneko, O.
    • Organizer
      ICROS-SICE International Joint Conference 2009
    • Place of Presentation
      Fukuoka International Congress center (福岡県)
    • Year and Date
      2009-08-20
    • Related Report
      2009 Final Research Report
  • [Presentation] The parameterization of Stanilizing Canonical controllers : The observable case2009

    • Author(s)
      Osamu Kaneko
    • Organizer
      ICROS-SICE International Joint Conference 2009
    • Place of Presentation
      Fukuoka International Congress center Fukuoka, Japan
    • Year and Date
      2009-08-20
    • Related Report
      2009 Annual Research Report
  • [Presentation] Simutaneous updating of model and a controller based on the data-driven fictitious controller2008

    • Author(s)
      Kaneko, O, Miyachi, M., Fujii, T.
    • Organizer
      44th IEEE Conference on Decision and Control
    • Place of Presentation
      Fiesta Americana Grand Coral Beach Cancun (Mexico)
    • Year and Date
      2008-12-09
    • Related Report
      2009 Final Research Report
  • [Presentation] Simultaneous updating of model and a controller based on the data-driven fictitious controller2008

    • Author(s)
      Osamu Kaneko
    • Organizer
      44^<th> IEEE Conference on Decision and Control
    • Place of Presentation
      Mexico Cancun
    • Year and Date
      2008-12-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] 線形時不変システムに対するデータ駆動型正準制御器について2008

    • Author(s)
      金子修
    • Organizer
      第37回計測自動制御学会制御理論シンポジウム
    • Place of Presentation
      霧島いわさきホテル(鹿児島県)
    • Year and Date
      2008-09-17
    • Related Report
      2009 Final Research Report
  • [Presentation] 擬似制御器と擬似参照信号を用いたモデルと制御器のデータ駆動型同時更新2008

    • Author(s)
      金子修, 宮地誠, 藤井隆雄
    • Organizer
      第37回計測自動制御学会制御理論シンポジウム
    • Place of Presentation
      霧島いわさきホテル(鹿児島県)
    • Year and Date
      2008-09-17
    • Related Report
      2009 Final Research Report
  • [Presentation] The implementability analysis of hybrid controlled behavior with discrete event controllers in the 2D system theoretic framework2008

    • Author(s)
      Kaneko, O., Yamamoto, S.
    • Organizer
      2008 International Symposium on Nonlinear Theory and its applications
    • Place of Presentation
      Danubuis Health Spa Resort Helia Budapest, (Republic of Hungary)
    • Year and Date
      2008-09-10
    • Related Report
      2009 Final Research Report
  • [Presentation] The implementability analysis of hybrid controlled behavior with discrete event controllers in the 2D system theoretic framework2008

    • Author(s)
      Osamia Kaneko
    • Organizer
      2008 International Symposium on Nonlinear Theory and its applications
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2008-09-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] On canonical controllers within the unfalsified control framework2008

    • Author(s)
      Kaneko. O.
    • Organizer
      The 17th IFAC World Congress
    • Place of Presentation
      COEX Convention Center Seoul, (Korea)
    • Year and Date
      2008-07-10
    • Related Report
      2009 Final Research Report
  • [Presentation] ビヘイビアアプローチに基づくハイブリッドシステムの仕様の達成可能性解析-2Dシステム理論的アプローチ-2008

    • Author(s)
      金子修, 山本哲史
    • Organizer
      第43回離散事象システム研究会
    • Place of Presentation
      名古屋大学野依記念学術交流館(愛知県)
    • Year and Date
      2008-06-02
    • Related Report
      2009 Final Research Report
  • [Presentation] ビヘイビアアプローチに基づくnD/1Dシステムの相互結合について2008

    • Author(s)
      山本哲史, 金子修
    • Organizer
      第8回計測自動制御学会制御部門大会
    • Place of Presentation
      京都大学吉田キャンパス(京都府)
    • Year and Date
      2008-03-07
    • Related Report
      2009 Final Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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