• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Data-driven model reduction of nonlinear complex systems

Research Project

Project/Area Number 19K23517
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeMulti-year Fund
Review Section 0302:Electrical and electronic engineering and related fields
Research InstitutionHiroshima University

Principal Investigator

Kawano Yu  広島大学, 先進理工系科学研究科(工), 准教授 (40743034)

Project Period (FY) 2019-08-30 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2020: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywordsモデル低次元化 / 非線形システム / 大規模システム / 単調システム / DCゲイン / グラミアン / クラスタリング / 制御工学 / 大規模複雑系
Outline of Research at the Start

IoTに代表されるような科学技術の発展に伴い,近年,システムの大規模化やネットワーク化が急速に進んでいる.他方,技術の発展はモデルの精密化(複雑化)をも促す.システムの大規模複雑化は,詳細な解析や高精度な制御を可能にするものの,不必要に問題を煩雑にする可能性がある.そこで本研究では,問題の見通しをよくするために,問題へと本質的に寄与するシステム要素を抽出する技術を構築する.そのような要素は,「システムの入出力データ」とシステム制御理論における「モデル低次元化手法」を用いることで抽出できる.

Outline of Final Research Achievements

To extract essential components for analysis or control design from nonlinear large-scale systems, we have developed model reduction methods by data assimilation approaches, where data assimilation is a methodology for improving accuracy of estimating system behavior by integrating a system model and its historical data. In particular, we have constructed two model reduction method; one is for monotone network systems, and the other is to reduce computational complexity of model predictive control. The proposed methods are illustrated by gene regulatory networks and limit cycles.

Academic Significance and Societal Importance of the Research Achievements

IoT技術の躍進によるシステムの大規模ネットワーク化,要素技術の発展によるシステムモデルの精密化(非線形化)により,大規模非線形ネットワークとして幅広いシステムがモデル化される.記述能力が高いモデルであるものの,その複雑さから解析・制御系設計が難しいことが多い.本研究の成果は,このような問題を解決するための手助けになることが期待される.

Report

(3 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • Research Products

    (14 results)

All 2021 2020 Other

All Int'l Joint Research (6 results) Journal Article (5 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 5 results) Presentation (3 results) (of which Int'l Joint Research: 1 results)

  • [Int'l Joint Research] University of Notre Dame(米国)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] University of Groningen(オランダ)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Tallinn University of Technology(エストニア)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] University of Cambridge(英国)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] University of Groningen(オランダ)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] University of Cambridge(英国)

    • Related Report
      2019 Research-status Report
  • [Journal Article] Empirical differential Gramians for nonlinear model reduction2021

    • Author(s)
      Yu Kawano, Jacquelien M.A.Scherpen
    • Journal Title

      Automatica

      Volume: 127 Pages: 109534-109534

    • DOI

      10.1016/j.automatica.2021.109534

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Krasovskii and shifted passivity based control2021

    • Author(s)
      Yu Kawano, Krishna Chaitanya Kosaraju, Jacquelien M.A. Scherpen
    • Journal Title

      IEEE Transactions on Automatic Control

      Volume: 66 Issue: 10 Pages: 4926-4932

    • DOI

      10.1109/tac.2020.3040252

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Converse stability theorems for positive linear time-varying systems2020

    • Author(s)
      Yu Kawano
    • Journal Title

      Automatica

      Volume: 122 Pages: 109193-109193

    • DOI

      10.1016/j.automatica.2020.109193

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Realizations in feedforward forms of nonlinearinput-output equations with time-delays2020

    • Author(s)
      Arvo Kaldmae, Yu Kawano, Ulle Kotta
    • Journal Title

      International Journal of Robust and Nonlinear Control

      Volume: 30 Issue: 17 Pages: 7560-7573

    • DOI

      10.1002/rnc.5194

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Data-Driven Model Reduction of Monotone Systems by Nonlinear DC Gains2020

    • Author(s)
      Yu Kawano, Bart Besselink, Jacquelien M.A. Scherpen, Ming Cao
    • Journal Title

      IEEE Transactions on Automatic Control

      Volume: 65 Issue: 5 Pages: 2094-2106

    • DOI

      10.1109/tac.2019.2939191

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Scalable control design for K-positive linear systems2021

    • Author(s)
      Yu Kawano, Fulvio Forni
    • Organizer
      24th International Symposium on Mathematical Theory of Networks and Systems
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 一般化微分平衡実現に基づく非線形システムのモデル低次元化2020

    • Author(s)
      横川 佳祐, 河野 佑
    • Organizer
      第29回計測自動制御学会中国支部 学術講演会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 脳の大規模ネットワークに対する平均可制御性解析2020

    • Author(s)
      広野 浩平, 河野 佑
    • Organizer
      第29回計測自動制御学会中国支部 学術講演会
    • Related Report
      2020 Annual Research Report

URL: 

Published: 2019-09-03   Modified: 2022-01-27  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi