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Optimal boundary control design method based on numerical solutions for nonlinear distributed parameter systems

Research Project

Project/Area Number 18K04213
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 21040:Control and system engineering-related
Research InstitutionNihon University

Principal Investigator

NISHIDA Gou  日本大学, 工学部, 准教授 (80435669)

Co-Investigator(Kenkyū-buntansha) 坂本 登  南山大学, 理工学部, 教授 (00283416)
Project Period (FY) 2018-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Keywords非線形制御 / 分布定数系 / 最適制御 / 数値計算法 / 数値解法 / 安定多様体法 / 数値計算
Outline of Final Research Achievements

This research proposed an optimal boundary control method based on numerical solutions for nonlinear distributed parameter systems. The method can use the non-linearity as an effective way to improve control performances without analytical solutions of the system. Firstly, we proposed the method for deriving a numerical control model from time responses by using dynamic mode decomposition, and the method of application of stable manifold method to the model. Secondly, we obtain facts on boundary controls from the Stokes-Dirac structure that gives the quivalent transformation between domain variations and boundary variations.

Academic Significance and Societal Importance of the Research Achievements

本研究の成果は,あらゆる制御対象が本来有する性質を有効利用するものであり,注目する指標に対して最適な動作を行うよう設計できるため,制御システムに対して,エネルギー効率向上,環境汚染の低減などを考えつつ制御性能を最大化することが可能となる.また,時系列データから制御を行う仕組みは,各種のセンサーから得られる測定情報と,特に,映像や音声データの様なデータ量の大きい情報を用いた処理,例えば,自動走行システムの高精度化,人工知能による高効率・高速処理などへの応用が考えられる.

Report

(4 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (6 results)

All 2021 2020 2019 2018

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (5 results) (of which Int'l Joint Research: 4 results)

  • [Journal Article] 数値解を用いた分布定数系の非線形最適制御について2021

    • Author(s)
      西田豪
    • Journal Title

      システム/制御/情報

      Volume: 65

    • NAID

      130008159880

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Presentation] Optimal fast demand response based on PV power predictions in multi-layer smart grids2020

    • Author(s)
      Gou Nishida, Hideaki Ito, Hideaki Ohtake, Takahiro Kawaguchi, and Jun-ichi Imura
    • Organizer
      SICE Annual Conference 2020
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Topological geometric extension of Stokes-Dirac structures for global energy flows2019

    • Author(s)
      Gou Nishida
    • Organizer
      European Control Conference 19
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Stokes-Dirac operator for Laplacian2019

    • Author(s)
      Gou Nishida
    • Organizer
      The 11th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 境界エネルギー制御系の変分構造について2019

    • Author(s)
      西田豪
    • Organizer
      第6回 制御部門マルチシンポジウム
    • Related Report
      2018 Research-status Report
  • [Presentation] Data-Driven Nonlinear Optimal Control for Distributed Parameter Systems with Output Delay2018

    • Author(s)
      Gou Nishida
    • Organizer
      6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research

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Published: 2018-04-23   Modified: 2022-01-27  

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