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Identification of Feedback and Nonlinear Systems by using Subspace Methods

Research Project

Project/Area Number 20560428
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionDoshisha University

Principal Investigator

KATAYAMA Tohru  Doshisha University, 文化情報学部, 客員教授 (40026175)

Co-Investigator(Renkei-kenkyūsha) TANAKA Hideyuki  京都大学, 情報学研究科, 助教 (90303883)
Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsシステム同定 / フィードバックシステム / 非線形システム / 部分空間同定法カルマンフィルタ / 非線形フィルタリング / 制御工学 / ウィーナーモデル / 部分空間同定法 / カルマンフィルタ / LQ分解 / 状態空間モデル / 部分空間法 / 分離最小2乗法 / 基底関数
Research Abstract

Based on the orthogonal decomposition (ORT) method 1996, we have developed a new closed loop subspace identification algorithm under the assumption that measurable disturbances are available, and obtained successful numerical results for both simulated and industrial data. We have also considered an LQ decomposition based subspace identification method for identifying the stochastic part of a combined deterministic stochastic system, showing that the stochastic part is derived by using a single LQ decomposition under the assumption that the past horizon is sufficiently large. This result complements the well-known MOESP method, for which the identification of stochastic part has been ignored for many years. Concerning the identification of nonlinear dynamical systems, a method of identifying Wiener-Hammerstein systems, in which a static nonlinearity is sandwiched by two linear systems, is derived by using a method of alternately identifying Hammerstein system and a linear system, where the data driven local coordinate-based gradient method is used for minimizing output errors. The algorithm and numerical results for the benchmark problem are presented at the special session of SYSID 2009, Saint-Malo.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (19 results)

All 2010 2009 2008

All Journal Article (6 results) (of which Peer Reviewed: 5 results) Presentation (13 results)

  • [Journal Article] A note on LQ decomposition in stochastic subspace identification2010

    • Author(s)
      片山徹
    • Journal Title

      Lecture Notes in Control and Information Science Vol.398

      Pages: 355-364

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Note on LQ Decomposition in Stochastic Subspace Identification2010

    • Author(s)
      T.Katayama
    • Journal Title

      Lecture Notes in Control & Information Sciences, Springer 398

      Pages: 355-364

    • Related Report
      2009 Annual Research Report
  • [Journal Article] realizationbased method for identification of closed-loop systems using measurable disturbance, SICE Journal of Control2009

    • Author(s)
      H.Ase, T.Katayama
    • Journal Title

      Measurement, and System Integration Vol.2, No.1

      Pages: 10-19

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] 三角多項式を用いたHammersteinモデルの同定2009

    • Author(s)
      田中秀幸,葉末俊介
    • Journal Title

      システム制御情報学会論文誌 Vol.22, No.1

      Pages: 13-20

    • NAID

      10024744372

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Realization-based Method for Identification of Closed-loop Systems Using Measurable Disturbance2009

    • Author(s)
      Hajime Ase
    • Journal Title

      SICE Journal of Control, Measurement, And System Integration 2

      Pages: 10-19

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 部分空間同定法の発展2008

    • Author(s)
      片山徹
    • Journal Title

      計測と制御 Vol.47, No.2

      Pages: 909-914

    • NAID

      10024448744

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Presentation] A numerical method for continuous-discrete unscented Kalman filtering2010

    • Author(s)
      M.Takeno, T.Katayama
    • Organizer
      42^<nd> ISCIE Int.Symp.Stochastic Systems Theory and its Applications
    • Place of Presentation
      岡山理科大学(岡山)
    • Year and Date
      2010-11-26
    • Related Report
      2010 Final Research Report
  • [Presentation] A Numerical Method for Continuous-Discrete Unscented Kalman Filtering2010

    • Author(s)
      M.Takeno
    • Organizer
      The 42th ISCIE International Symposium on Stochastic Systems and its Applications
    • Place of Presentation
      岡山理科大学、岡山
    • Year and Date
      2010-11-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] Subspace identification of combined deterministic-stochastic systems by LQ decomposition2010

    • Author(s)
      T.Katayama
    • Organizer
      Proc.2010 American Control Conference
    • Place of Presentation
      ボルチモア,米国
    • Year and Date
      2010-07-01
    • Related Report
      2010 Final Research Report
  • [Presentation] Subspace Identification of Combined Deterministic-Stochastic Systems by LQ Decomposition2010

    • Author(s)
      T.Katayama
    • Organizer
      2010 American Control Conference
    • Place of Presentation
      Baltimore, USA
    • Year and Date
      2010-07-01
    • Related Report
      2010 Annual Research Report
  • [Presentation] On the LQ Decomposition in Stochastic Subspace Identification Methods2010

    • Author(s)
      T.Katayama
    • Organizer
      Symposium on Perspectives in Mathematical System Theory, Control and Signal Processing
    • Place of Presentation
      Kyoto University, Kyoto
    • Year and Date
      2010-03-31
    • Related Report
      2009 Annual Research Report
  • [Presentation] Stochastic Subspace Identification by ARMAX modeling2009

    • Author(s)
      T.Katayama
    • Organizer
      The 41^<st> ISCIE Int.Symp.on Stochastic Systems and its Applications
    • Place of Presentation
      Hirao Memorial House, Konan Univ., Kobe
    • Year and Date
      2009-11-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] A state-space approach to identification of Wiener-Hammerstein benchmark model2009

    • Author(s)
      H.Tanaka
    • Organizer
      Preprints 15^<th> IFAC Symposium on System Identification
    • Place of Presentation
      サンマロ,フランス
    • Year and Date
      2009-07-07
    • Related Report
      2010 Final Research Report
  • [Presentation] An indefinite realization algorithm via Riccati difference equation2009

    • Author(s)
      H.Tanaka
    • Organizer
      Preprints 15^<th> IFAC Symposium on System Identification
    • Place of Presentation
      サンマロ,フランス
    • Year and Date
      2009-07-06
    • Related Report
      2010 Final Research Report
  • [Presentation] A State-Space Approach to Identification of Wiener-Hammerstein Benchmark Model2009

    • Author(s)
      H.Tanaka
    • Organizer
      IFAC System Identification Symposium(SYSID)2009
    • Place of Presentation
      Saint-Malo国際会議場, France
    • Year and Date
      2009-07-06
    • Related Report
      2009 Annual Research Report
  • [Presentation] Identification of Wiener models by separable least-squares2008

    • Author(s)
      T.Katayama
    • Organizer
      Proc.40^<th> ISCIE Int.Symp.Stochastic Systems Theory and its Applications
    • Place of Presentation
      京大会館(京都)
    • Year and Date
      2008-11-14
    • Related Report
      2010 Final Research Report
  • [Presentation] Identification of Wiener Models by Separable Least-Squares2008

    • Author(s)
      Tohru Katayama
    • Organizer
      The 40^<th> International Symposium on Stochastic Systems Theory & its Applications
    • Place of Presentation
      京都市
    • Year and Date
      2008-11-07
    • Related Report
      2008 Annual Research Report
  • [Presentation] A New Subspace Identification Method for Closed-loop Systems using Measurable Disturbance2008

    • Author(s)
      Tohru Katayama
    • Organizer
      The 17^<th> International Federation of Automatic Control, World Congress
    • Place of Presentation
      ソウル、韓国
    • Year and Date
      2008-07-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] A new subspace identification method for closed-loop systems using measurable disturbance2008

    • Author(s)
      T.Katayama
    • Organizer
      Proc.IFAC World Congress
    • Place of Presentation
      ソウル,韓国
    • Year and Date
      2008-07-08
    • Related Report
      2010 Final Research Report

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

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