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Global Controller Design for Time-varying System Defined on Noncontractible Manifolds

Research Project

Project/Area Number 26870711
Research Category

Grant-in-Aid for Young Scientists (B)

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

Principal Investigator

Fukui Yoshiro  立命館大学, 情報理工学部, 助教 (30710652)

Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords時変システム / 多様体 / 制御Lyapunov関数 / 局所半凹関数 / 一般化微分 / 可到達微分 / 非線形制御
Outline of Final Research Achievements

This research considers a controller design problem for nonlinear time-varying/time-invariant systems defined on manifolds. We proposed 1) a design method of a time-varying non-smooth control Lyapunov function(CLF), called the minimum projection method, for time-varying nonlinear systems defined on manifolds, and 2) a design method of a multilayered space which is required by the minimum projection method. Further, we analyzed generalized differentials of a locally semiconcave CLF, and applied the research results to the robot control theory; we proposed an extended passive velocity field control
as offshoots of this research.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (33 results)

All 2017 2016 2015 2014

All Journal Article (2 results) (of which Peer Reviewed: 2 results,  Acknowledgement Compliant: 2 results) Presentation (31 results) (of which Int'l Joint Research: 9 results)

  • [Journal Article] Convergence Error Analysis of DSM with Dual-Decomposition for the Smart Grid2016

    • Author(s)
      Yoshiro Fukui, Shiro Yano and Tadahiro Taniguchi
    • Journal Title

      SICE Journal of Control, Measurement, and System Integration

      Volume: 9 Pages: 1-7

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Design of Locally Semiconcave Practical Control Lyapunov Function via Multilayer Minimum Projection Method2015

    • Author(s)
      福井 善朗, 中村 文一
    • Journal Title

      Transactions of the Society of Instrument and Control Engineers

      Volume: 51 Issue: 12 Pages: 803-813

    • DOI

      10.9746/sicetr.51.803

    • NAID

      130005114048

    • ISSN
      0453-4654, 1883-8189
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 多様体上で定義された時変な大域的制御Lyapunov関数の設計2017

    • Author(s)
      福井 善朗
    • Organizer
      第4回計測自動制御部門マルチシンポジウム
    • Place of Presentation
      岡山大学 津島キャンパス(岡山県岡山市)
    • Year and Date
      2017-03-09
    • Related Report
      2016 Research-status Report
  • [Presentation] 局所漸近安定性と有限時間整定性を有するロボットの適応的軌道追従制御2017

    • Author(s)
      藤城 十郎, 福井 善朗
    • Organizer
      第4回計測自動制御部門マルチシンポジウム
    • Place of Presentation
      岡山大学 津島キャンパス(岡山県岡山市)
    • Year and Date
      2017-03-07
    • Related Report
      2016 Research-status Report
  • [Presentation] Passive Velocity Field Control with Discontinuous Desired Fields: Non-smooth Potential Gradient Vector Field2017

    • Author(s)
      Yoshiro Fukui and Takahiro Wada
    • Organizer
      56th IEEE Conference on Decision and Control
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Search control on unknown environment using shortest path calculation and Lyapunov technique2017

    • Author(s)
      Takashi Betsuyaku and Yoshiro Fukui
    • Organizer
      The IEEE International Conference on Robotics and Biomimetics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Theoretical Analysis of Finite-time PD Control for Robot Manipulators2017

    • Author(s)
      Juro Fujishiro, Yoshiro Fukui and Takahiro Wada
    • Organizer
      The SICE Annual Conference 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 不連続な速度場に対する受動速度場追従制御:周期的軌道追従タスクの場合2017

    • Author(s)
      田中 彩, 福井 善朗
    • Organizer
      第60回自動制御連合講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 1リンクマニピュレータの位置決め問題に対する有限時間整定型適応制御の安定性解析2017

    • Author(s)
      藤城 十郎, 福井 善朗, 和田 隆広
    • Organizer
      第60回自動制御連合講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 有限時間整定PID制御に対する局所漸近安定性解析:特定ゲインの場合2017

    • Author(s)
      福井 善朗, 藤城 十郎, 和田 隆広
    • Organizer
      第60回自動制御連合講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 最短経路計算とLyapunov 関数を用いた未知空間探索制御2017

    • Author(s)
      別役 昂志, 福井 善朗
    • Organizer
      第61回システム制御情報学会研究発表講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Velocity field control with energy compensation toward therapeutic exercise2016

    • Author(s)
      Yoshiro Fukui, Takahiro Wada
    • Organizer
      55th IEEE Conference on Decision and Control
    • Place of Presentation
      Las Vegas, USA
    • Year and Date
      2016-12-12
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Passive Velocity Field Control with discontinuous desired velocity fields2016

    • Author(s)
      Tomohiro Kunimune, Yoshiro Fukui, Takahiro Wada
    • Organizer
      IEEE International Conference on Robotics and Biomimetics
    • Place of Presentation
      Qingdao, China
    • Year and Date
      2016-12-05
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] ベルト駆動型2リンクロボットアームの位置決め精度の向上に向けて2016

    • Author(s)
      濱本 敏成, 和田 隆広, 福井 善朗, 的場俊亮
    • Organizer
      第35回計測自動制御学会九州支部学術講演会
    • Place of Presentation
      佐賀大学 本庄キャンパス(佐賀県佐賀市)
    • Year and Date
      2016-11-27
    • Related Report
      2016 Research-status Report
  • [Presentation] 不連続な速度場に対する受動速度場追従制御の受動性解析2016

    • Author(s)
      國宗 智寛, 福井 善朗, 和田 隆広
    • 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 Research-status Report
  • [Presentation] Finite-time PD Control of Robot Manipulators with Adaptive Gravity Compensation2016

    • Author(s)
      Juro Fujishiro, Yoshiro Fukui and Takahiro Wada
    • Organizer
      IEEE Multi-Conference on Systems and Control 2016
    • Place of Presentation
      Buenos Aires, Argentina
    • Year and Date
      2016-09-21
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Necessary and sufficient condition for locally semiconcave practical control Lyapunov functions2016

    • Author(s)
      Yoshiro Fukui
    • Organizer
      NOLCOS 2016, 10th IFAC Symposium on Nonlinear Control Systems
    • Place of Presentation
      Marriott Hotel Monterey, California, USA.
    • Year and Date
      2016-08-23
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] ROS を用いた非標準的な実装構造を持つ移動ロボットシステム2016

    • Author(s)
      別役 昂志, 福井 善朗, 和田 隆広
    • 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 Research-status Report
  • [Presentation] 局所半凹実用制御Lyapunov関数に対する可到達勾配の計算2016

    • Author(s)
      福井 善朗
    • Organizer
      第2回計測自動制御部門マルチシンポジウム(MSCS2016)
    • 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] Adaptive trajectory tracking control with finite-time stability for robot manipulators2015

    • Author(s)
      Juro Fujishiro, Yoshiro Fukui and Takahiro Wada
    • Organizer
      2015 International Automatic Control Conference (CACS 2015)
    • Place of Presentation
      Yilan, Taiwan
    • Year and Date
      2015-11-20
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Space design for the multilayer minimum projection method in nonsmooth control Lyapunov function design2015

    • Author(s)
      Yoshiro Fukui
    • Organizer
      2015 International Automatic Control Conference (CACS 2015)
    • Place of Presentation
      Yilan, Taiwan
    • Year and Date
      2015-11-20
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 局所半凹実用制御Lyapunov関数に対して方向微分を組み合わせても分解微分が得られるとは限らない2015

    • Author(s)
      北川 諒, 福井 善朗, 和田 隆広
    • Organizer
      第58回自動制御連合講演会
    • Place of Presentation
      神戸大学 六甲台第2キャンパス(工学部)(兵庫県神戸市)
    • Year and Date
      2015-11-15
    • Related Report
      2015 Research-status Report
  • [Presentation] 一次元システムに対する有限時間整定制御のためのサンプリング時間設計2015

    • Author(s)
      南部 克也, 福井 善朗, 和田 隆広
    • Organizer
      第58回自動制御連合講演会
    • Place of Presentation
      神戸大学 六甲台第2キャンパス(工学部)(兵庫県神戸市)
    • Year and Date
      2015-11-15
    • Related Report
      2015 Research-status Report
  • [Presentation] 有限時間整定性を有するロボットアームに対する軌道追従型適応制御2015

    • Author(s)
      藤城 十郎, 福井 善朗, 和田 隆広
    • Organizer
      第58回自動制御連合講演会
    • Place of Presentation
      神戸大学 六甲台第2キャンパス(工学部)(兵庫県神戸市)
    • Year and Date
      2015-11-15
    • Related Report
      2015 Research-status Report
  • [Presentation] 多層最小射影法によるポテンシャル関数を用いた自動車の走行制御2015

    • Author(s)
      Feng Tao, 福井 善朗, 和田 隆広
    • Organizer
      第58回自動制御連合講演会
    • Place of Presentation
      神戸大学 六甲台第2キャンパス(工学部)(兵庫県神戸市)
    • Year and Date
      2015-11-14
    • Related Report
      2015 Research-status Report
  • [Presentation] 有限時間整定性を持つ1リンクロボットアームに対する軌道追従型適応制御2015

    • Author(s)
      藤城 十郎, 福井 善朗, 和田 隆広
    • Organizer
      第33回日本ロボット学会学術講演会(RSJ2015)
    • Place of Presentation
      東京電機大学 東京千住キャンパス(東京都足立区)
    • Year and Date
      2015-09-03
    • Related Report
      2015 Research-status Report
  • [Presentation] 特異点消去付き多層最小射影法による局所半凹制御Lyapunov関数の設計2015

    • Author(s)
      福井 善朗, 中村 文一
    • Organizer
      第2回計測自動制御部門マルチシンポジウム
    • Place of Presentation
      東京電機大学(東京都)
    • Year and Date
      2015-03-05
    • Related Report
      2014 Research-status Report
  • [Presentation] Velocity Field Control with Energy Compensation toward Therapeutic Exercise2014

    • Author(s)
      Takaaki Shogaki, Takahiro Wada, Yoshiro Fukui
    • Organizer
      The 2014 IEEE International Conference on Robotics and Biomimetics
    • Place of Presentation
      Bali(Indonesia)
    • Year and Date
      2014-12-09
    • Related Report
      2014 Research-status Report
  • [Presentation] Tracking Control of Two Holonomic Robots in Formation without Collision2014

    • Author(s)
      Yoshiro Fukui, Takahiro Wada
    • Organizer
      The 2014 IEEE International Conference on Robotics and Biomimetics
    • Place of Presentation
      Bali(Indonesia)
    • Year and Date
      2014-12-08
    • Related Report
      2014 Research-status Report
  • [Presentation] マイクロマウス北陸同好会の活動報告2014

    • Author(s)
      飯田 一輝,福井 善朗
    • Organizer
      第57回自動制御連合講演会
    • Place of Presentation
      ホテル天坊(群馬県)
    • Year and Date
      2014-11-10
    • Related Report
      2014 Research-status Report
  • [Presentation] 立命館大学におけるマイクロマウス競技の普及に関する活動報告2014

    • Author(s)
      福井 善朗
    • Organizer
      第57回自動制御連合講演会
    • Place of Presentation
      ホテル天坊(群馬県)
    • Year and Date
      2014-11-10
    • Related Report
      2014 Research-status Report
  • [Presentation] Dynamical Obstacle Avoidance Control via Minimum Projection Method Toward a Compact Set2014

    • Author(s)
      Yoshiro Fukui
    • Organizer
      SICE Annual Conference 2014
    • Place of Presentation
      北海道大学(北海道)
    • Year and Date
      2014-09-12
    • Related Report
      2014 Research-status Report
  • [Presentation] 厳密な線形化とRifford-Sontag型制御による2台ロボットの同時トラッキング制御2014

    • Author(s)
      福井 善朗
    • Organizer
      第32回日本ロボット学会学術講 演会
    • Place of Presentation
      九州産業大学(福岡県)
    • Year and Date
      2014-09-04
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2019-03-29  

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