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Design integration for nonlinear control systems via invariant manifold theory and the development of computational platform

Research Project

Project/Area Number 26289128
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypePartial Multi-year Fund
Section一般
Research Field Control engineering/System engineering
Research InstitutionNanzan University (2015-2018)
Nagoya University (2014)

Principal Investigator

Sakamoto Noboru  南山大学, 理工学部, 教授 (00283416)

Project Period (FY) 2014-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥11,440,000 (Direct Cost: ¥8,800,000、Indirect Cost: ¥2,640,000)
Fiscal Year 2017: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2016: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2015: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2014: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Keywords非線形制御 / 最適制御 / 計算プラットフォーム / 安定多様体法 / メカニカル系制御 / アクロボット / 不変多様体 / ハミルトン・ヤコビ方程式 / 非線形最適制御 / 状態観測器 / 安定多様体 / 非線形メカニカル系 / 中心多様体 / 三体問題 / 軌道設計 / 非線形オブザーバ
Outline of Final Research Achievements

Throughout this research project, an approach has been taken such that concrete applications rather than abstract theories are investigated. Those examples include servo control design for lock-up clutch for automatic transmissions, optimal control for control moment gyros, stability augmentation for unmanned VTOL aircraft, gimbals control for a small-size rocket, swing up and stabilization for inverted pendulum, swing up and stabilization for flexible inverted pendulum, and swing up and stabilization for the Acrobot. Some of these experiments include the results that had never been reported. The success of these experimental results shows that the development of computational platform has been effectively achieved.

Academic Significance and Societal Importance of the Research Achievements

倒立振子振上げ実験,柔軟倒立振子振上げ実験,およびアクロボット振上げ実験は,これまで非線形制御では不可能だった制御性能が達成された.これは,本研究の学術的意義の高さを示していると言える.また,このような性能が可能となった背景には,計算プラットフォーム開発が十分に行われたことがある.このような計算プラットフォームを社会に還元することによって,基盤的工学の高度化が可能となるであろう.

Report

(6 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • Research Products

    (46 results)

All 2019 2017 2016 2015 2014 Other

All Int'l Joint Research (6 results) Journal Article (14 results) (of which Peer Reviewed: 14 results,  Open Access: 4 results,  Acknowledgement Compliant: 2 results) Presentation (25 results) (of which Int'l Joint Research: 9 results,  Invited: 1 results) Remarks (1 results)

  • [Int'l Joint Research] DeustoTech, University of Deusto(スペイン)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Deusto University(Spain)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Czech Academy of Sciences(Czech)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Deusto Tech(Spain)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Czech Academy of Sciences(チェコ)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Czech Academy of Sciences(チェコ)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Nonlinear Optimal Control for Swing Up and Stabilization of the Acrobot via Stable Manifold Approach: Theory and Experiment2019

    • Author(s)
      Takamasa Horibe and Noboru Sakamoto
    • Journal Title

      IEEE Transactions on Control Systems Technology

      Volume: - Issue: 6 Pages: 2374-2387

    • DOI

      10.1109/tcst.2018.2865762

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonlinear optimal control design considering a class of system constraints with validation on a magnetic levitation system2017

    • Author(s)
      A. T. Tran, N. Sakamoto, Y. Kikuchi, K. Mori
    • Journal Title

      IEEE Control System Letters

      Volume: 1 Issue: 2 Pages: 418-423

    • DOI

      10.1109/lcsys.2017.2717932

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Control augumentation system design for Quad-Tilt-Wing unmanned aerial vehicle via robust output regulation method2017

    • Author(s)
      A. T. Tran, N. Sakamoto, M. Sato, K. Muraoka
    • Journal Title

      IEEE Transaction on Aerospace and Electric Systems

      Volume: to appear Issue: 1 Pages: 357-369

    • DOI

      10.1109/taes.2017.2650618

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal swing up and stabilization control for inverted pendulum via stable manifold method2017

    • Author(s)
      T. Horibe, N. Sakamoto
    • Journal Title

      IEEE Transaction on Control System Technology

      Volume: to appear Issue: 2 Pages: 708-715

    • DOI

      10.1109/tcst.2017.2670524

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pilot-Induced-Oscillation suppression controller design via nonlinear optimal output regulation method2017

    • Author(s)
      A. T. Tran, N. Sakamoto, Y. Kikuchi, K. Mori
    • Journal Title

      Aerospace Science and Technology

      Volume: -

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Symplectic Numerical Approach for Nonlinear Optimal Control of Systems with Inequality Constraints2015

    • Author(s)
      Yoshiki Abe, Gou Nishida, Noboru Sakamoto and Yutaka Yamamoto
    • Journal Title

      International Journal of Modern Nonlinear Theory and Application

      Volume: 4 Issue: 04 Pages: 234-248

    • DOI

      10.4236/ijmnta.2015.44018

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Abort recovery strategy for future vertical landing systems2015

    • Author(s)
      T.Kobayakawa,H.Kawato, K.Mochizuki, N.Sakamoto, Y.Habaguchi
    • Journal Title

      Acta Astronautica

      Volume: 116 Pages: 148-153

    • DOI

      10.1016/j.actaastro.2015.06.012

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Robustness analysis of optimal regulator for vehicle model with nonlinear friction2015

    • Author(s)
      G.Nishida, Y.Abe, N.Sakamoto, Y.Yamamoto
    • Journal Title

      International Journal of Emerging Technology and Advanced Engineering

      Volume: 5 Pages: 25-30

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Robust Nonlinear H-infinity Control Design via Stable Manifold Method2015

    • Author(s)
      Yoshiki Abe, Gou Nishida, Noboru Sakamoto and Yutaka Yamamoto
    • Journal Title

      Mathematical Problems in Engineering

      Volume: 2015 Pages: 1-8

    • DOI

      10.1155/2015/198380

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] 安定多様体法におけるHamilton-Jacobi方程式の高速数値解法2015

    • Author(s)
      濱口謙一,西田豪,坂本登,山本裕
    • Journal Title

      システム・制御・情報学会論文集

      Volume: 28

    • NAID

      130005065387

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal servo design for lock-up slip control for torque converter---nonlinear output regulation approach2015

    • Author(s)
      Y. Umemura, N. Sakamoto
    • Journal Title

      IEEE Transactions on Control Systems Technology

      Volume: na

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] モデル縮約に基づく非線形偏微分方程式の最適フィードバック制御2015

    • Author(s)
      濱口謙一,西田豪,坂本登,山本裕
    • Journal Title

      計測自動制御学会論文集

      Volume: 51

    • NAID

      130004855741

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Study on global stabilization of periodic orbits in discrete-time chaotic systems by using symbolic dynamics2015

    • Author(s)
      M. Suzuki, N. Sakamoto
    • Journal Title

      Kybernetika

      Volume: na

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] コントロールモーメントジャイロの最適姿勢制御---中心安定多様体アプローチ2014

    • Author(s)
      石川和男,坂本登
    • Journal Title

      計測自動制御学会論文集

      Volume: 50 Pages: 731-738

    • NAID

      130004699660

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Presentation] Stable manifold method for infinite horizon optimal control problem with discounted cost2017

    • Author(s)
      G. Nishida, N. Sakamoto
    • Organizer
      IFAC World Congress
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Numerical computational improvement of the stable-manifold method for nonlinear optimal control2017

    • Author(s)
      Y. Oishi, N. Sakamoto
    • Organizer
      IFAC World Congress
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Nonlinear optimal control design considering a class of system constraints with validation on a magnetic levitation system2017

    • Author(s)
      A. T. Tran, S. Suzuki, N. Sakamoto
    • Organizer
      IEEE Conference on Decision and Control
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Nonlinear optimal control and applications- stable manifold approach2017

    • Author(s)
      坂本登
    • 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
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 加速度制約を陽に考慮した非線形最適制御則の設計と検証 -磁気浮上システムへの適用-2017

    • Author(s)
      鈴木彰吾, A. T. Tran, 坂本登
    • 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
    • Related Report
      2017 Annual Research Report
  • [Presentation] 逆問題を用いた非線形ロバスト最適制御器の設計 -Acrobotの振上げ安定化制御-2017

    • Author(s)
      堀川詳悟, 坂本登
    • 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
    • Related Report
      2017 Annual Research Report
  • [Presentation] 非線形最適制御における数値計算技術の利用2017

    • Author(s)
      大石泰章, 坂本登
    • 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
    • Related Report
      2017 Annual Research Report
  • [Presentation] 安定多様体法を用いた種々の非線形平衡点安定化による Acrobot の制御2017

    • Author(s)
      小塚健太, 坂本登
    • Organizer
      第15回「運動と振動の制御」シンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] 不変多様体の計算による2つの周期軌道を遷移する制御系の設計2017

    • Author(s)
      石田翔也, 坂本登
    • Organizer
      第60回自動制御連合講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 磁気浮上システムにおける加速度制約を考慮した非線形最適サーボ制御器の設計2017

    • Author(s)
      大角隼太, A. T. Tran, 坂本登
    • Organizer
      第60回自動制御連合講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 航空機の縦運動の飛行制御に対する安定多様体法の適用例2017

    • Author(s)
      A. T. Tran, 坂本登
    • Organizer
      第60回自動制御連合講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 制限三体問題における不変多様体の計算を用いた周期軌道間の遷移2017

    • Author(s)
      石田翔也, 坂本登
    • 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 Annual Research Report
  • [Presentation] 安定多様体法を用いたアクロボットの平衡姿勢間遷移制御 ー制御系設計と検証実験ー2017

    • Author(s)
      小塚健太, 坂本登, 中島明, 鈴木達朗, 米川翔太, 西田裕貴, 宮野峻
    • 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 Annual Research Report
  • [Presentation] 安定多様体法における射撃法とその応用2017

    • Author(s)
      中村拓登, 大石泰章, 坂本登
    • 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 Annual Research Report
  • [Presentation] A general framework for constrained optimal control based on stable manifold method2016

    • Author(s)
      A. T. Tran, N. Sakamoto
    • Organizer
      55th IEEE Conference on Decision and Control
    • Place of Presentation
      Las Vegas,米国
    • Year and Date
      2016-12-10
    • Related Report
      2016 Annual Research Report
  • [Presentation] Swing up and stabilization of the Acrobot via nonlinear optimal control based on stable manifold method2016

    • Author(s)
      T. Horibe, N. Sakamoto
    • Organizer
      10th IFAC Symposium on Nonlinear Control Systems
    • Place of Presentation
      Monterey,米国
    • Year and Date
      2016-08-20
    • Related Report
      2016 Annual Research Report
  • [Presentation] Optimal port allocation for nonlinear distributed parameter systems2016

    • Author(s)
      G. Nishida, N. Sakamoto
    • Organizer
      2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations
    • Place of Presentation
      Bertinolo,イタリア
    • Year and Date
      2016-06-15
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Center manifold method for the orbit design of the restricted three body problem2015

    • Author(s)
      Y.Habaguchi, N.Sakamoto, K.Nagata
    • Organizer
      54th IEEE Conference on Decision and Control
    • Place of Presentation
      Osaka, Japan
    • Year and Date
      2015-12-15
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Nonlinear optimal control: Stable manifold approach2015

    • Author(s)
      N.Sakamoto, G.Nishida
    • Organizer
      Half-Day Workshop at the 54th IEEE Conference on Decision and Control
    • Place of Presentation
      Osaka, Japan
    • Year and Date
      2015-12-15
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Nonlinear optimal stabilization of unstable periodic orbits2015

    • Author(s)
      Y.Habaguchi, N.Sakamoto, K.Nagata
    • Organizer
      4th IFAC Conference on Analysis and Control of Chaotic Systems
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2015-08-26
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Nonlinear controller design based on invariant manifold computation2015

    • Author(s)
      N.Sakamoto
    • Organizer
      Mathematical Control Theory I---Nonlinear and Hybrid Control Systems
    • Place of Presentation
      Groningen, The Netherlands
    • Year and Date
      2015-07-12
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Nonlinear optimal control in catalytic process via stable manifold method2015

    • Author(s)
      K.Hamaguchi, G.Nishida, N.Sakamoto, Y.Yamamoto
    • Organizer
      5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2015
    • Place of Presentation
      Lyon, France
    • Year and Date
      2015-07-04
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Suboptimal feedback control of nonlinear distributed parameter systems by stable manifold method2014

    • Author(s)
      K. Hamaguchi, G. Nishida, N. Sakamoto
    • Organizer
      19th IFAC World Congress
    • Place of Presentation
      South Africa
    • Year and Date
      2014-08-24 – 2014-08-29
    • Related Report
      2014 Annual Research Report
  • [Presentation] Nonlinear Luenberger observer design via invariant manifold computation2014

    • Author(s)
      N. Sakamoto, B. Rehak
    • Organizer
      19th IFAC World Congress
    • Place of Presentation
      South Africa
    • Year and Date
      2014-08-24 – 2014-08-29
    • Related Report
      2014 Annual Research Report
  • [Presentation] A Nonlinear observer via system variables dependent Sylvester equation approach with applications2014

    • Author(s)
      K. Ueno, N. Sakamoto
    • Organizer
      21st International Symposium on Mathematical Theory of Networks and Systems
    • Place of Presentation
      Groningen, The Netherlands
    • Year and Date
      2014-07-01 – 2015-07-05
    • Related Report
      2014 Annual Research Report
  • [Remarks] Nonlinear optimal control for the Acrobot

    • URL

      https://www.youtube.com/watch?v=dXfZaChk8_E

    • Related Report
      2017 Annual Research Report

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Published: 2014-04-04   Modified: 2022-02-16  

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