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Optimal control for distributed parameter system via Stable Manifold Method and Proper Orthogonal Decomposition Method

Research Project

Project/Area Number 26630197
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Control engineering/System engineering
Research InstitutionNanzan University (2015)
Nagoya University (2014)

Principal Investigator

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

Co-Investigator(Kenkyū-buntansha) NISHIDA Gou  東京工業大学, 情報理工学研究科, 研究員 (80435669)
Project Period (FY) 2014-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2014: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords分布定数系 / 非線形制御 / 安定多様体法 / 最適制御 / 無限次元システム / 分布定数システム / バーガース方程式 / 主成分分析 / ハミルトン・ヤコビ方程式 / 非線形分布定数系
Outline of Final Research Achievements

We modified the Proper Orthogonal Galerkin Method, which is a sort of Principal Component Analysis Method, in order to apply Stable Manifold Method by Sakamoto for distributed parameter systems. The Stable Manifold Method is applied for reduced order model of viscus Bergers equation and the effectiveness of the combined method is confirmed.

Report

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

    (10 results)

All 2015 2014

All Journal Article (5 results) (of which Peer Reviewed: 5 results,  Open Access: 4 results,  Acknowledgement Compliant: 2 results) Presentation (5 results) (of which Int'l Joint Research: 3 results)

  • [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] 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 Research-status 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 Research-status Report
    • Peer Reviewed / Open Access
  • [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 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 Netherlnds
    • 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 Research-status 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 Research-status Report

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Published: 2014-04-04   Modified: 2017-05-10  

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