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Sophistication of robust control theory for linear systems with stochastic dynamics

Research Project

Project/Area Number 17K14700
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Control engineering/System engineering
Research InstitutionKyoto University

Principal Investigator

Hosoe Yohei  京都大学, 工学研究科, 助教 (50726411)

Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2018: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords制御工学 / 確率系 / 線形行列不等式 / 確率的動特性 / 不確かさ / 出力フィードバック / データ同化 / 機械学習 / 確率論 / ロバスト制御 / ランダムダイナミクス / リアプノフ不等式 / ランダム行列
Outline of Final Research Achievements

The control theory for systems with stochastic dynamics was sophisticated from the viewpoints of applicable classes of plants, use of performance indices other than stability, and improvement of practicality. More specifically, results were obtained, e.g., about control of systems with dynamics determined by a Markov process, derivation of inequality conditions for H2 and H infinity performance, and synthesis of output feedback controllers.

Academic Significance and Societal Importance of the Research Achievements

制御理論の適用が望まれる対象は近年の計算機性能の向上にともなって多様化しており,確率的なダイナミクスを考慮可能な制御理論のニーズも今後確実に高まると考えられる.本研究の成果は,そのようなニーズに応えるための一助になると期待される.本研究で開発した確率制御理論は統計学的なアプローチとの相性がよいと考えられ,そのような方向性での活用にも期待している.

Report

(4 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (26 results)

All 2019 2018 2017 Other

All Int'l Joint Research (4 results) Journal Article (6 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 6 results) Presentation (16 results) (of which Int'l Joint Research: 5 results)

  • [Int'l Joint Research] LAAS-CNRS(フランス)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] LAAS-CNRS(フランス)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] LAAS-CNRS(フランス)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research]

    • Related Report
      2017 Research-status Report
  • [Journal Article] Approximation of Cumulative Distribution Functions Based on <i>L</i><i><sub>∞</sub></i>and <i>L</i><sub>1 </sub>Norms for Stochastic Systems Control2019

    • Author(s)
      細江陽平,奥野誠也,萩原朋道
    • Journal Title

      Transactions of the Institute of Systems, Control and Information Engineers

      Volume: 32 Issue: 4 Pages: 145-153

    • DOI

      10.5687/iscie.32.145

    • NAID

      130007679467

    • ISSN
      1342-5668, 2185-811X
    • Year and Date
      2019-04-15
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Static Output Feedback Stabilization of Discrete-Time Linear Systems With Stochastic Dynamics Determined by an Independent Identically Distributed Process2019

    • Author(s)
      Hosoe Yohei、Peaucelle Dimitri
    • Journal Title

      IEEE Control Systems Letters

      Volume: 3 Issue: 3 Pages: 673-678

    • DOI

      10.1109/lcsys.2019.2916289

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Equivalent Stability Notions, Lyapunov Inequality, and Its Application in Discrete-Time Linear Systems With Stochastic Dynamics Determined by an i.i.d.?Process2019

    • Author(s)
      Hosoe Yohei、Hagiwara Tomomichi
    • Journal Title

      IEEE Transactions on Automatic Control

      Volume: 64 Issue: 11 Pages: 4764-4771

    • DOI

      10.1109/tac.2019.2905216

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] モード遷移確率が時変パラメータに依存するマルコフジャンプ系のゲインスケジュールド状態フィードバック設計2019

    • Author(s)
      柳楽勇士,松崎弘樹,細江陽平,萩原朋道
    • Journal Title

      システム制御情報学会論文誌

      Volume: 32

    • NAID

      130007798535

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 確率的動特性をもつ離散時間系に対する有界実補題2019

    • Author(s)
      柳楽勇士,細江陽平,萩原朋道
    • Journal Title

      計測自動制御学会論文集

      Volume: 55

    • NAID

      130007761132

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Robust Stability Analysis and State Feedback Synthesis for Discrete-Time Systems Characterized by Random Polytopes2018

    • Author(s)
      Y. Hosoe, T. Hagiwara and D. Peaucelle
    • Journal Title

      IEEE Transactions on Automatic Control

      Volume: 63 Issue: 2 Pages: 556-562

    • DOI

      10.1109/tac.2017.2730586

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Static output feedback stabilization of discrete-time linear systems with stochastic dynamics determined by an i.i.d. process2019

    • Author(s)
      Y. Hosoe and D. Peaucelle
    • Organizer
      2019 IEEE Conference on Decision and Control
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 確率系制御のためのメタヒューリスティクスを用いた2次元確率分布の近似2019

    • Author(s)
      大崎健太,細江陽平,萩原朋道
    • Organizer
      第63回システム制御情報学会研究発表講演会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 確率的動特性をもつ離散時間系の制御2019

    • Author(s)
      細江陽平
    • Organizer
      第62回自動制御連合講演会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 確率的動的Dスケーリングに基づくロバスト安定解析に関する考察2019

    • Author(s)
      山口郁馬,柳楽勇士,細江陽平,萩原朋道
    • Organizer
      第6回計測自動制御学会制御部門マルチシンポジウム
    • Related Report
      2018 Research-status Report
  • [Presentation] On stability analysis based on stochastic D-scaling2018

    • Author(s)
      Y. Nagira, Y. Hosoe and T. Hagiwara
    • Organizer
      2018 IEEE Conference on Decision and Control
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Stochastic D-scaling technique for application in robust stability analysis of uncertain discrete-time stochastic systems2018

    • Author(s)
      Y. Nagira, Y. Hosoe and T. Hagiwara
    • Organizer
      SICE Annual Conference 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] The lp induced norm and the small-gain theorem for discrete-time stochastic systems2018

    • Author(s)
      Y. Nagira, Y. Hosoe and T. Hagiwara
    • Organizer
      2018 European Control Conference
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] モード遷移確率が時変パラメータに依存する確率的スイッチドシステムのゲインスケジューリング制御2018

    • Author(s)
      松崎弘樹,柳楽勇士,細江陽平,萩原朋道
    • Organizer
      第62回システム制御情報学会研究発表講演会
    • Related Report
      2018 Research-status Report
  • [Presentation] 累積分布関数のL∞およびL1ノルムに基づく近似を用いた確率系の安定化設計2018

    • Author(s)
      奥野誠也,細江陽平,萩原朋道
    • Organizer
      第62回システム制御情報学会研究発表講演会
    • Related Report
      2018 Research-status Report
  • [Presentation] 確率的な動特性を有するシステムとしての同定について:DCモータとそのH2制御実験を通した一考察2018

    • Author(s)
      岡本高志,細江陽平,萩原朋道
    • Organizer
      第5回計測自動制御学会制御部門マルチシンポジウム
    • Related Report
      2017 Research-status Report
  • [Presentation] 確率的Dスケーリングに基づく安定解析に関する考察2018

    • Author(s)
      柳楽勇士,細江陽平,萩原朋道
    • Organizer
      第5回計測自動制御学会制御部門マルチシンポジウム
    • Related Report
      2017 Research-status Report
  • [Presentation] Robust stability analysis of discrete-time linear systems with dynamics determined by a Markov process2017

    • Author(s)
      Y. Hosoe and T. Hagiwara
    • Organizer
      20th IFAC World Congress
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 確率的なダイナミクスを有する離散時間線形系のロバスト安定化出力フィードバック制御2017

    • Author(s)
      福井章悟,細江陽平,萩原朋道
    • Organizer
      第61回システム制御情報学会研究発表講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] ディスクリプタ形式の離散時間確率系に対するロバスト安定化状態フィードバック制御2017

    • Author(s)
      山内敏嗣,細江陽平,萩原朋道
    • Organizer
      第61回システム制御情報学会研究発表講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] 確率的動特性をもつ離散時間線形系のH2性能解析および設計2017

    • Author(s)
      細江陽平,岡本高志,萩原朋道
    • Organizer
      第60回自動制御連合講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] 一般的な入出力系の因果性に関する考察2017

    • Author(s)
      柳楽勇士,細江陽平,萩原朋道
    • Organizer
      第60回自動制御連合講演会
    • Related Report
      2017 Research-status Report

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Published: 2017-04-28   Modified: 2021-02-19  

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