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On error covariance analysis of an output-error type closed-loop subspace model identification method for unstable systems

Research Project

Project/Area Number 18K04217
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 21040:Control and system engineering-related
Research InstitutionOsaka Institute of Technology

Principal Investigator

Oku Hiroshi  大阪工業大学, 工学部, 教授 (20351455)

Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywordsシステム同定 / 閉ループ系 / 不安定系 / 誤差分散解析 / 誤差解析 / 部分空間法 / 分散解析 / 制御工学
Outline of Final Research Achievements

In this study, we analyzed the characteristics of the MOESP-type closed-loop subspace model identification method (CL-MOESP method), which is one of the subspace identification methods based on the output error model in closed-loop. The main research results can be summarized in the following two points. (1) This study gave the theoretical basis that "the CL-MOESP method can be applied to unstable objects to be identified" as opposed to the conventional premise that "objects to be identified are stable". (2) We theoretically clarified the consistency and error covariance analysis of the estimated values of the CL-MOESP method, and quantitatively evaluated the identification accuracy of the method. This indicates that the CL-MOESP method outperforms the prediction-error-based subspace identification methods that have the asymptotical consistency in their estimates.

Academic Significance and Societal Importance of the Research Achievements

今までは相関法を用いた出力誤差モデルに基づく部分空間同定法の漸近特性の解明は未解決であった.しかし,本研究を通してCL-MOESP法の推定値の一致性が示された.これは予測誤差型部分空間同定法がもつ漸近的一致性よりも強い性質であり,CL-MOESP法の持つ優位性の一つである.また,CL-MOESP法の誤差分散解析に関する一定の成果が得られ,将来的にCL-MOESP法から得られる同定モデルの定量的な精度評価法の開発につながり得ると考えられる.最後に,CL-MOESP法が不安定な同定対象にも適用可能であることの理論的保証が得られたため,今後本手法が広く実システムへ適用されることが期待できる.

Report

(6 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (10 results)

All 2022 2021 2020

All Journal Article (2 results) (of which Peer Reviewed: 2 results,  Open Access: 2 results) Presentation (8 results) (of which Int'l Joint Research: 4 results)

  • [Journal Article] On error analysis of a closed-loop subspace model identification method2021

    • Author(s)
      Oku Hiroshi、Ikeda Kenji
    • Journal Title

      IFAC-PapersOnLine

      Volume: 54 Issue: 9 Pages: 701-706

    • DOI

      10.1016/j.ifacol.2021.06.132

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] On consistency of output-error closed-loop subspace model identification for systems compensated by general LTI controllers2021

    • Author(s)
      Oku Hiroshi、Ikeda Kenji
    • Journal Title

      IFAC-PapersOnLine

      Volume: 54 Issue: 7 Pages: 767-772

    • DOI

      10.1016/j.ifacol.2021.08.454

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] On Error Analysis of a Closed-Loop Subspace Model Identification Method2022

    • Author(s)
      Hiroshi Oku and Kenji Ikeda
    • Organizer
      25th International Symposium on Mathematical Theory of Networks and Systems
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 閉ループ部分空間同定法の可同定性について2022

    • Author(s)
      奥宏史
    • Organizer
      第9回計測自動制御学会制御部門マルチシンポジウム
    • Related Report
      2021 Research-status Report
  • [Presentation] On consistency of output-error closed-loop subspace model identification for systems compensated by general LTI controllers2021

    • Author(s)
      Hiroshi Oku, Kenji Ikeda
    • Organizer
      The 19th IFAC Symposium on System Identification
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] CL-MOESP法の一致性に関する数値的検討2021

    • Author(s)
      奥宏史
    • Organizer
      第64回自動制御連合講演会
    • Related Report
      2021 Research-status Report
  • [Presentation] Consistency Analysis of the Extended Observability Matrix of Output-Error Closed-Loop Subspace Model Identification2020

    • Author(s)
      Hiroshi Oku, Kenji Ikeda
    • Organizer
      IFAC 2020 World Congress
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] A Numerical Study on Convergence Property of a Closed-Loop Subspace Model Identification Method2020

    • Author(s)
      Hiroshi Oku, Kenji Ikeda
    • Organizer
      SICE Annual Conference 2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] 出力誤差型閉ループ部分空間同定法の拡大可観測性行列の一致性について2020

    • Author(s)
      奥宏史,池田建司
    • Organizer
      第63回自動制御連合講演会
    • Related Report
      2020 Research-status Report
  • [Presentation] 閉ループ部分空間同定法の誤差解析について2020

    • Author(s)
      奥宏史
    • Organizer
      計測自動制御学会第7回制御部門マルチシンポジウム
    • Related Report
      2019 Research-status Report

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Published: 2018-04-23   Modified: 2024-01-30  

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