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Adaptive Hierarchical Network Model Reduction of Large-Scale Systems Strictly Preserving Finite Frequency Properties

Research Project

Project/Area Number 25820177
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Control engineering/System engineering
Research InstitutionThe University of Tokyo

Principal Investigator

KOJIMA CHIAKI  東京大学, 情報理工学(系)研究科, 助教 (00456162)

Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords制御理論 / 階層化ネットワークシステム / モデル低次元化 / 固有直交分解 / 有限周波数特性 / 安定性診断 / 分散カルマンフィルタ / 電力ネットワーク / 分散型固有直交分解 / 多次元システム
Outline of Final Research Achievements

In this research project, we first derived a model reduction method preserving dissipativity which is stronger property than finite frequency properties. Next, we proposed a distributed approach to the proper orthogonal decomposition which is one of efficient model reduction method of large-scale systems, and theoretically guaranteed an upper bound of an approximation error. Based on this approach, we also derived a method for transient stability diagnosis of power networks. In addition to these results, we characterized finite frequency properties of multi-dimensional systems in terms of dissipation inequality, which can be regarded as an original result. Moreover, we clarified an estimation performance of a distributed Kalman filter with diffusion strategies. This can be an efficient result for a design of the filter.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (11 results)

All 2015 2014 2013

All Journal Article (2 results) (of which Peer Reviewed: 1 results) Presentation (9 results) (of which Int'l Joint Research: 1 results,  Invited: 2 results)

  • [Journal Article] Characterization of Finite Frequency Properties for n-Dimensional Behaviors Using Quadratic Differential Forms2014

    • Author(s)
      Chiaki Kojima and Shinji Hara
    • Journal Title

      SICE Journal of Control, Measurement, and System Integration

      Volume: 7 Pages: 112-121

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Characterization of Finite Frequency Properties for n-Dimensional Behaviors Using Quadratic Differential Forms2013

    • Author(s)
      Chiaki Kojima and Shinji Hara
    • Journal Title

      Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo

      Volume: 2013 Pages: 28-28

    • Related Report
      2013 Research-status Report
  • [Presentation] 分散固有直交分解による大規模システムの低次元化:同時最適化に基づくアプローチ2015

    • Author(s)
      小島千昭
    • Organizer
      第58回自動制御連合講演会
    • Place of Presentation
      神戸市・神戸大学六甲台第2キャンパス
    • Year and Date
      2015-11-15
    • Related Report
      2015 Annual Research Report
  • [Presentation] Distributed Proper Orthogonal Decomposition for Hierarchical Power Networks and its Application to Transient Stability Analysis2015

    • Author(s)
      Chiaki Kojima
    • Organizer
      SICE Annual Conference 2015
    • Place of Presentation
      中国・杭州市
    • Year and Date
      2015-07-30
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] モード分解に基づく電力ネットワークの動揺不安定化現象の解析2014

    • Author(s)
      小島千昭
    • Organizer
      日本鉄鋼協会計測・制御・システム工学部会 計測制御システム分野における産学若手交流フォーラム計測制御システム分野における産学若手交流セミナー
    • Place of Presentation
      日光市・鬼怒川けごん荘
    • Year and Date
      2014-09-19 – 2014-09-20
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] A Characterization of Energy Transfer in Swing Instability of Power Networks Based on Mode Decomposition2014

    • Author(s)
      Masato Hirata
    • Organizer
      SICE Annual Conference 2014
    • Place of Presentation
      札幌市・北海道大学
    • Year and Date
      2014-09-09 – 2014-09-12
    • Related Report
      2014 Research-status Report
  • [Presentation] Hierarchical Network Identification of Large-Scale Systems - an Approach Based on Dissipation Equalities2014

    • Author(s)
      Chiaki Kojima
    • Organizer
      The 19th IFAC World Congress
    • Place of Presentation
      南アフリカ・ケープタウン市
    • Year and Date
      2014-08-24 – 2014-08-29
    • Related Report
      2014 Research-status Report
  • [Presentation] Distributed Proper Orthogonal Decomposition for Large-Scale Networked Nonlinear Systems with Approximation Error Bound2014

    • Author(s)
      Chiaki Kojima
    • Organizer
      The 13th European Control Conference 2014
    • Place of Presentation
      フランス・ストラスブール市
    • Year and Date
      2014-06-24 – 2014-06-27
    • Related Report
      2014 Research-status Report
  • [Presentation] 分散固有直交分解による大規模システムのモデル低次元化2014

    • Author(s)
      小島千昭
    • Organizer
      計測自動制御学会先端融合システムズアプローチ創出委員会大規模問題に対するシステムズアプローチワーキンググループ2014年度第1回研究会
    • Place of Presentation
      京都市・キャンパスプラザ京都
    • Year and Date
      2014-05-24
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 分散固有直交分解による大規模システムの低次元化の誤差特徴付け2014

    • Author(s)
      小島千昭
    • Organizer
      計測自動制御学会第1回制御部門マルチシンポジウム
    • Place of Presentation
      東京都調布市・電気通信大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Distributed Proper Orthogonal Decomposition for Large-Scale Networked Dynamical Systems2013

    • Author(s)
      Chiaki Kojima
    • Organizer
      2013 European Control Conference
    • Place of Presentation
      ハンガリー・ブダペスト市
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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