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Development of a theoretical basis of robust control for discrete-time linear stochastic systems with uncertain distributions

Research Project

Project/Area Number 26820166
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) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords確率系 / ロバスト制御 / ポリトープ / 不確かさ / 線形行列不等式 / リアプノフ不等式 / 制御工学 / 安定度 / 確率的スイッチドシステム / LMI / リアプノフ行列 / リフティング
Outline of Final Research Achievements

We tackled robust control problems for discrete-time linear stochastic systems with dynamics determined by random matrices whose uncertainties can be described with random polytopes. We successfully characterized robust stability of the systems by linear-matrix-inequality-based inequality conditions. Since the inequality conditions included expectations whose exact values are difficult to obtain, we also developed methods for robust stability analysis and controller synthesis in which the expectations are evaluated with samples of random matrices. Then, we further extended the methods so that more advanced robust control such as taking account of stability degree in the synthesis can be achieved.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (18 results)

All 2017 2016 2015 2014

All Presentation (18 results) (of which Int'l Joint Research: 5 results)

  • [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
    • Place of Presentation
      Toulouse, France
    • Year and Date
      2017-07-09
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 確率的なダイナミクスを有する線形系に対するリアプノフ不等式2017

    • Author(s)
      細江陽平,萩原朋道
    • Organizer
      第4回計測自動制御学会制御部門マルチシンポジウム
    • Place of Presentation
      岡山大学(岡山県・岡山市)
    • Year and Date
      2017-03-06
    • Related Report
      2016 Annual Research Report
  • [Presentation] 離散時間確率系に対するl2誘導ノルムの定義とスモールゲイン定理の導出2017

    • Author(s)
      柳楽勇士,細江陽平,萩原朋道
    • Organizer
      第4回計測自動制御学会制御部門マルチシンポジウム
    • Place of Presentation
      岡山大学(岡山県・岡山市)
    • Year and Date
      2017-03-06
    • Related Report
      2016 Annual Research Report
  • [Presentation] マルコフ過程依存の離散時間確率系のロバスト安定解析2016

    • Author(s)
      細江陽平,萩原朋道
    • Organizer
      第59回自動制御連合講演会
    • Place of Presentation
      北九州国際会議場(福岡県・北九州市)
    • Year and Date
      2016-11-10
    • Related Report
      2016 Annual Research Report
  • [Presentation] S-variable approach to robust stabilization state feedback synthesis for systems characterized by random polytopes2016

    • Author(s)
      Y. Hosoe and D. Peaucelle
    • Organizer
      15th European Control Conference
    • Place of Presentation
      Aalborg, Denmark
    • Year and Date
      2016-06-29
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Random polytope representation of discrete-time uncertain stochastic switched systems and robust stabilization2016

    • Author(s)
      Y. Hosoe, Y. Nagira and T. Hagiwara
    • Organizer
      15th European Control Conference
    • Place of Presentation
      Aalborg, Denmark
    • Year and Date
      2016-06-29
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] LFT表現された不確かな確率系のロバスト安定解析および状態フィードバック安定化2016

    • Author(s)
      三田浩雅,細江陽平,萩原朋道
    • Organizer
      第60回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都テルサ(京都府・京都市)
    • Year and Date
      2016-05-25
    • Related Report
      2016 Annual Research Report
  • [Presentation] 確率的ポリトープで特徴づけられる系に対する状態フィードバックロバストH2制御2016

    • Author(s)
      岡本高志,細江陽平,萩原朋道
    • Organizer
      第60回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都テルサ(京都府・京都市)
    • Year and Date
      2016-05-25
    • Related Report
      2016 Annual Research Report
  • [Presentation] 不確かな確率的スイッチドシステムの確率的ポリトープ表現とロバスト安定化2016

    • Author(s)
      細江陽平,柳楽勇士,萩原朋道
    • Organizer
      第3回計測自動制御学会制御部門マルチシンポジウム
    • Place of Presentation
      南山大学名古屋キャンパス(愛知県・名古屋市)
    • Year and Date
      2016-03-07
    • Related Report
      2015 Research-status Report
  • [Presentation] 確率的ポリトープを用いたゲインスケジューリング制御の有効性の数値例検証2016

    • Author(s)
      柳楽勇士,細江陽平,萩原朋道
    • Organizer
      平成27年度計測自動制御学会関西支部・システム制御情報学会若手研究発表会
    • Place of Presentation
      大阪大学吹田キャンパス(大阪府・吹田市)
    • Year and Date
      2016-01-08
    • Related Report
      2015 Research-status Report
  • [Presentation] Gain-scheduled state feedback synthesis for systems characterized by random polytopes2015

    • Author(s)
      Y. Nagira, Y. Hosoe and T. Hagiwara
    • Organizer
      54th IEEE Conference on Decision and Control
    • Place of Presentation
      大阪府立国際会議場(大阪府・大阪市)
    • Year and Date
      2015-12-15
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Extension of the concept of random polytopes and robust stabilization synthesis2015

    • Author(s)
      Y. Hosoe and T. Hagiwara
    • Organizer
      14th European Control Conference
    • Place of Presentation
      Linz, Austria
    • Year and Date
      2015-07-15
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 確率的ポリトープで特徴づけられる系に対するゲインスケジュールド状態フィードバック設計2015

    • Author(s)
      柳楽勇士,細江陽平,萩原朋道
    • Organizer
      第2回計測自動制御学会制御部門マルチシンポジウム
    • Place of Presentation
      東京電機大学東京千住キャンパス,東京都
    • Year and Date
      2015-03-05 – 2015-03-07
    • Related Report
      2014 Research-status Report
  • [Presentation] 確率的ポリトープの概念的拡張とロバスト安定化設計2014

    • Author(s)
      細江陽平,萩原朋道
    • Organizer
      第57回自動制御連合講演会
    • Place of Presentation
      ホテル天坊,群馬県渋川市
    • Year and Date
      2014-11-10 – 2014-11-12
    • Related Report
      2014 Research-status Report
  • [Presentation] State feedback synthesis for robust stabilization of discrete-time linear systems characterized by stochastic polytopes2014

    • Author(s)
      Y. Hosoe and T. Hagiwara
    • Organizer
      13th European Control Conference
    • Place of Presentation
      Strasbourg, France
    • Year and Date
      2014-06-25 – 2014-06-27
    • Related Report
      2014 Research-status Report
  • [Presentation] Robust stability analysis of discrete-time linear systems characterized by stochastic polytopes2014

    • Author(s)
      Y. Hosoe and T. Hagiwara
    • Organizer
      2014 American Control Conference
    • Place of Presentation
      Portland, USA
    • Year and Date
      2014-06-04 – 2014-06-06
    • Related Report
      2014 Research-status Report
  • [Presentation] 確率的ポリトープで特徴づけられる系のロバスト安定化状態フィードバックの生成標本数を低減化した設計2014

    • Author(s)
      山下拓郎,細江陽平,萩原朋道
    • Organizer
      第58回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都テルサ,京都府京都市
    • Year and Date
      2014-05-21 – 2014-05-23
    • Related Report
      2014 Research-status Report
  • [Presentation] 確率的ポリトープで特徴づけられる系のロバスト p 次平均安定性解析2014

    • Author(s)
      細江陽平,玉手修平,萩原朋道
    • Organizer
      第58回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都テルサ,京都府京都市
    • Year and Date
      2014-05-21 – 2014-05-23
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2018-03-22  

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