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Construction of nonlinear stochastic robust control theory based on non-Markov model and discontinuous feedback

Research Project

Project/Area Number 17H03282
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering/System engineering
Research InstitutionKagoshima University

Principal Investigator

Nishimura Yuki  鹿児島大学, 理工学域工学系, 准教授 (20549018)

Co-Investigator(Kenkyū-buntansha) 星野 健太  京都大学, 情報学研究科, 助教 (10737498)
佐藤 訓志  大阪大学, 工学研究科, 准教授 (60533643)
中村 文一  東京理科大学, 理工学部電気電子情報工学科, 准教授 (70362837)
Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥17,940,000 (Direct Cost: ¥13,800,000、Indirect Cost: ¥4,140,000)
Fiscal Year 2019: ¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2018: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2017: ¥8,450,000 (Direct Cost: ¥6,500,000、Indirect Cost: ¥1,950,000)
Keywords確率システム / 非線形制御 / リャプノフ安定論 / 有限時間整定制御 / ラフパス解析 / 振動抑制制御 / 制御工学 / 確率論 / 機械力学・制御 / 非線形制御理論
Outline of Final Research Achievements

Many technologies for the realization of super-smart society are generally influenced by irregular noises and vibrations. The aim of this study was to construct a stochastic stability theory for analyzing and controlling stochastic nonlinear systems, especially achieving the elimination and attenuation for irregular system noises in a practical view point. In this study, we analyzed various singular properties of stability for nonlinear stochastic systems, and then tried developing nonlinear stochastic robust control easily applied to practical systems. The validity of the proposed methods was confirmed by numerical simulation and some experimental results.

Academic Significance and Societal Importance of the Research Achievements

学術的意義:確率システム論の実応用展開を意識した研究は推定や線形制御理論では幅広く行われているが,最初から非線形システムを対象としたものは世界的に少ないことがある。また,半世紀にわたって謎とされてきた確率制御理論の諸問題を解決しつつ実応用展開に向かうために,最先端の非線形制御理論と非マルコフ確率論の精神を融合した理論展開は学術的な独創性を有する。
社会的意義:本研究課題は確率制御技術の発展による超スマート社会下の家庭・福祉用ロボットや地震被害の抑制,プラント等の省エネルギー運用などにも活用されるものと考えられる。

Report

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

    (52 results)

All 2020 2019 2018 2017 Other

All Journal Article (20 results) (of which Peer Reviewed: 20 results,  Open Access: 2 results) Presentation (30 results) (of which Int'l Joint Research: 7 results,  Invited: 2 results) Remarks (2 results)

  • [Journal Article] Local Controllability of Single-Input Nonlinear Systems Based on Deterministic Wiener Processes2020

    • Author(s)
      Nishimura Yuki、Tsubakino Daisuke
    • Journal Title

      IEEE Transactions on Automatic Control

      Volume: 65 Issue: 1 Pages: 354-360

    • DOI

      10.1109/tac.2019.2912452

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 確率リャプノフ安定論~ノイズが導く多様な安定性2020

    • Author(s)
      西村悠樹
    • Journal Title

      システム/制御/情報(別冊『確率システムシンポジウム50回記念』特集号』)

      Volume: 64B Pages: 34-39

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Conditions of almost sure boundedness and practical asymptotic stability of continuous-time stochastic systems2020

    • Author(s)
      Hoshino Kenta、Nishimura Yuki
    • Journal Title

      Proceedings of IFAC World Congress 2020

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stochastic bounded stability in the three-body problem with probabilistic uncertainty using port-Hamiltonian representation2020

    • Author(s)
      T. Nishishita、S. Satoh、K. Yamada
    • Journal Title

      Aerospace Technology Japan

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stochastic stabilization of rigid body motion of a spacecraft on SE(3)2020

    • Author(s)
      N. Tasaka, S. Satoh, T. Hatanaka and K. Yamada
    • Journal Title

      International Journal of Control

      Volume: - Issue: 5 Pages: 1-8

    • DOI

      10.1080/00207179.2019.1637544

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stochastic disturbance attenuation based on nonlinear compensator2019

    • Author(s)
      Kimura Shuma、Nishimura Yuki
    • Journal Title

      Proceedings of the 2019 International Symposium on Nonlinear Theory & Its Applications

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On Stochastic Finite-Time Stabilization with Continuous State-Feedback Controllers2019

    • Author(s)
      Kenta Hoshino, Yuki Nishimura
    • Journal Title

      IFAC-PapersOnLine

      Volume: 52 Issue: 16 Pages: 204-209

    • DOI

      10.1016/j.ifacol.2019.11.779

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Stochastic Lyapunov Stability for Rough Differential Equations2019

    • Author(s)
      Nishimura Yuki
    • Journal Title

      Proceedings of 2019 European Control Conference

      Volume: - Pages: 1164-1169

    • DOI

      10.23919/ecc.2019.8796199

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Iterative feedback tuning for Hamiltonian systems based on variational symmetry2019

    • Author(s)
      S. Satoh and K. Fujimoto
    • Journal Title

      International Journal of Robust and Nonlinear Control

      Volume: 29 Issue: 16 Pages: 5845-5865

    • DOI

      10.1002/rnc.4692

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Introduction to an iterative solution method for nonlinear stochastic optimal control problems2019

    • Author(s)
      Satoh Satoshi
    • Journal Title

      Proceedings of SICE 2019 Annual Conference

      Volume: - Pages: 1082-1084

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Attitude estimation for a spacecraft based on stochastic control theory2019

    • Author(s)
      Satoh Satoshi
    • Journal Title

      Proceedings of SICE 2019 Annual Conference

      Volume: - Pages: 545-547

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stochastic systems modeling and stabilization of the attitude of a spacecraft2019

    • Author(s)
      N. Tasaka、S. Satoh、K. Yamada
    • Journal Title

      Proceedings of the 32nd International Symposium on Space Technology and Science

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stochastic bounded stability in the three-body problem with probabilistic uncertainty using port-Hamiltonian representation2019

    • Author(s)
      T. Nishishita, S. Satoh and K. Yamada
    • Journal Title

      Proceedings of the 32nd International Symposium on Space Technology and Science

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Convergence rates of stochastic homogeneous systems2019

    • Author(s)
      Hoshino Kenta、Nishimura Yuki、Yamashita Yuh
    • Journal Title

      Systems & Control Letters

      Volume: 124 Pages: 33-39

    • DOI

      10.1016/j.sysconle.2018.11.013

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stochastic Lyapunov functions without differentiability at supposed equilibria2018

    • Author(s)
      Nishimura Yuki、Ito Hiroshi
    • Journal Title

      Automatica

      Volume: 92 Pages: 188-196

    • DOI

      10.1016/j.automatica.2018.03.013

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Strong Solutions of Stochastic Differential Equations in Finite-Time Stabilization2018

    • Author(s)
      Hoshino Kenta、Nishimura Yuki
    • Journal Title

      IFAC-PapersOnLine

      Volume: 51 Issue: 13 Pages: 266-271

    • DOI

      10.1016/j.ifacol.2018.07.289

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Gait generation for a biped robot with knees and torso via trajectory learning and state-transition estimation2018

    • Author(s)
      Satoh Satoshi、Fujimoto Kenji
    • Journal Title

      Artificial Life and Robotics

      Volume: 23 Issue: 4 Pages: 489-497

    • DOI

      10.1007/s10015-018-0476-4

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Local Minimum Connection for Static Smooth Control Lyapunov Function2018

    • Author(s)
      Masaki Takase, Hisakazu Nakamura, Soki Kuga
    • Journal Title

      IFAC-PapersOnLine

      Volume: 51 Issue: 13 Pages: 272-278

    • DOI

      10.1016/j.ifacol.2018.07.290

    • NAID

      130006251426

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 確率システムの有限時間安定性補償器2017

    • Author(s)
      上原理, 西村悠樹, 星野健太
    • Journal Title

      電子情報通信学会論文誌A

      Volume: J100-A

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Input-to-state stability of stochastic port-Hamiltonian systems using stochastic generalized canonical transformations2017

    • Author(s)
      Satoshi Satoh
    • Journal Title

      International Journal of Robust and Nonlinear Control

      Volume: 27

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Presentation] ある非平滑確率リャプノフ関数に基づく確率制振制御について2020

    • Author(s)
      西村悠樹
    • Organizer
      第7回制御部門マルチシンポジウム
    • Related Report
      2019 Annual Research Report
  • [Presentation] 線形ドリフト・アフィン拡散確率システムの制御法に関する一考察2020

    • Author(s)
      佐藤訓志、関口和真
    • Organizer
      第7回計測自動制御学会 制御部門マルチシンポジウム
    • Related Report
      2019 Annual Research Report
  • [Presentation] ラフパス解析に基づく制御理論~劣駆動システムを例題に~2019

    • Author(s)
      西村悠樹
    • Organizer
      第62回自動制御連合講演会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] ラフパス解析に基づく確率リャプノフ安定論の再構築可能性について2019

    • Author(s)
      西村悠樹
    • Organizer
      第62回自動制御連合講演会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 非線形確率制御を用いたフォーメーションフライト制御に関する一考察2019

    • Author(s)
      佐藤訓志、山田克彦
    • Organizer
      第63回宇宙科学技術連合講演会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 確率システムモデルに基づく剛体姿勢の非線形推定2019

    • Author(s)
      佐藤訓志
    • 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 Annual Research Report
  • [Presentation] 超音波モータのチャタリング補償付き有限時間位置決め制御2019

    • Author(s)
      木下亮、西村悠樹、谷口康太郎、中村文一、田中幹也
    • 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 Annual Research Report
  • [Presentation] 確率制御バリア関数を用いたヒューマンアシスト制御2019

    • Author(s)
      中村文一、島村諒、西村悠樹
    • 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 Annual Research Report
  • [Presentation] Stabilization of fourth-order chained system by rough signals2018

    • Author(s)
      Takeuchi Kouki、Nishimura Yuki
    • Organizer
      The 2018 International Symposium on Nonlinear Theory & Its Applications (NOLTA 2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Etale synergistic hybrid control design for asymptotic stabilization on manifold via minimum projection method2018

    • Author(s)
      Nakamura Hisakazu、Satoh Yasuyuki
    • Organizer
      The 2018 IEEE Conference on Decision and Control
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Collision avoidance assist control for two-wheel vehicle robots by control barrier function2018

    • Author(s)
      Igarashi Motoi、Nakamura Hisakazu
    • Organizer
      The 2018 International Automatic Control Conference
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Input correction control of state constrained nonlinear system by using revived transformation2018

    • Author(s)
      Takai Maki、Shudai Hiroki、Nakamura Hisakazu、Kunori Yu
    • Organizer
      The 44th Annual Conference of the IEEE Industrial Electronics Society
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Spacecraft attitude estimation based on stochastic kinematics modeling on SO(3)2018

    • Author(s)
      Satoh Satoshi、Yamada Katsuhiko
    • Organizer
      The 50th ISCIE International Symposium on Stochastic Systems Theory and Its Application
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On Design of Homogeneous Feedback Controllers for Finite-Time Stabilization of Stochastic Systems2018

    • Author(s)
      Hoshino Kenta、Nishimura Yuki
    • Organizer
      The 50th ISCIE International Symposium on Stochastic Systems Theory and Its Application
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 確率的不確かさを含む連続時間システムのモデル化と制御 ー確率微分方程式と確率解析を使ってー2018

    • Author(s)
      佐藤訓志
    • Organizer
      日本機械学会東海学生会第219回講演会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 経路積分法に基づく非線形確率最適制御のフォーメーションフライト制御への適用2018

    • Author(s)
      佐藤訓志、山田克彦
    • Organizer
      第28回アストロダイナミクスシンポジウム
    • Related Report
      2018 Annual Research Report
  • [Presentation] 粘性優解と非滑確率リャプノフ関数の関連付け2018

    • Author(s)
      西村悠樹、星野健太
    • Organizer
      第61回自動制御連合講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 滑らかでない確率リャプノフ関数による確率漸近安定条件の緩和2018

    • Author(s)
      西村悠樹、星野健太
    • Organizer
      第62回システム制御情報学会研究発表講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 非ホロノミックシステムのラフ安定化における入力信号の考察2018

    • Author(s)
      竹内康貴, 西村悠樹
    • Organizer
      第50回計測自動制御学会北海道支部学術講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] ノイズの印加されたアクティブ動吸振器による制振制御2018

    • Author(s)
      渡邊寛久, 西村悠樹
    • Organizer
      第50回計測自動制御学会北海道支部学術講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 同次制御の混合によるアクティブ動吸振器の制振制御2018

    • Author(s)
      木村修馬, 西村悠樹
    • Organizer
      第50回計測自動制御学会北海道支部学術講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 微分フラットシステムに対するISS-CLF設計2018

    • Author(s)
      藤井裕大, 中村文一
    • Organizer
      第5回制御部門マルチシンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] 確率システムの有限時間整定制御における強い解の存在性2018

    • Author(s)
      星野健太, 西村悠樹
    • Organizer
      第5回制御部門マルチシンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] A non-smooth stochastic Lyapunov function and its relationship with viscosity solutions2017

    • Author(s)
      Yuki Nishimura, Kenta Hoshino
    • Organizer
      The 2017 Asian Control Conference (ASCC 2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 劣駆動機械システムの確率有界安定化制御と2ロータヘリコプタへの応用2017

    • Author(s)
      田坂俊郎, 佐藤訓志, 佐伯正美
    • 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] 確率的不確かさを考慮したシステム表現と最適制御2017

    • Author(s)
      佐藤訓志
    • Organizer
      ヒューマノイド・ロボティクス2017夏の学校
    • Related Report
      2017 Annual Research Report
  • [Presentation] 確定・確率システム論の融合に基づくシステム制御理論の新展開への目論み2017

    • Author(s)
      西村悠樹
    • Organizer
      真なるダイナミクスの追求によるシステム制御理論の躍進を目指すシンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] 確率一般化正準変換に基づく確率ポート・ハミルトン系の内部安定化と入力ー状態安定化2017

    • Author(s)
      佐藤訓志
    • Organizer
      真なるダイナミクスの追求によるシステム制御理論の躍進を目指すシンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] 確率ノイズによる非線形システムの制御2017

    • Author(s)
      星野健太
    • Organizer
      真なるダイナミクスの追求によるシステム制御理論の躍進を目指すシンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] ラフパス解析に基づく確率リャプノフ安定論の解析2017

    • Author(s)
      西村悠樹
    • Organizer
      第60回自動制御連合講演会
    • Related Report
      2017 Annual Research Report
  • [Remarks] 鹿児島大学工学部機械工学科西村研究室

    • URL

      http://www.mech.kagoshima-u.ac.jp/~yunishi/

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report 2017 Annual Research Report
  • [Remarks] 真なるダイナミクスの追究による次世代システム制御理論調査研究会

    • URL

      http://truedyn.sice-ctrl.jp/

    • Related Report
      2019 Annual Research Report

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

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