• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

On Space-Time Discretization of Systems for Model-Based Control

Research Project

Project/Area Number 19K04451
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 InstitutionOyama National College of Technology (2020-2022)
University of Tsukuba (2019)

Principal Investigator

Hori Noriyuki  小山工業高等専門学校, その他部局等, 校長 (70312824)

Project Period (FY) 2019-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2021: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords離散時間化 / 離散空間化 / モデルベース離散時間制御 / 次数変化 / 偏微分方程式 / 離散時間空間化 / 非整数階微分の離散化 / 超関数の離散化
Outline of Research at the Start

モデルベース設計は計算機上で手軽に進められるようになったが、離散モデルのブラックボックス化が進み、モデル形式の選択、次数の調整と変化の把握、要素間の因果関係や整合性が適正に反映された初期値設定などが複雑になっている。次数が変化するとモデルが不連続に変化し、その都度制御系の解析や設計を確認したり、やり直したりする必要があるが、異なる次数の制御系が一貫性をもって比較検討されることはほとんどない。このような変化に対応し、状況を改善できるような制御系設計手法の基礎作りに貢献することを目指す。

Outline of Final Research Achievements

An innovative approach has been proposed for exactly discretizing continuous, in time and space, systems expressed in the descriptor form. Existing methods required models that are formulated at locations neither interested nor necessary but required just for improving accuracy. The proposed method does not require such considerations. The concept of discretization of distributions has also been proposed so that the order change could be interpreted as mode change. The research presented is expected to make a contribution to the formulation of fundamental framework for model-based controller design that is not bound to fixed system orders.

Academic Significance and Societal Importance of the Research Achievements

連続時間関数の離散化をインパルス関数に拡張した先行研究を、記述表現形式に適用して次数変化をインパルスモードの変化と捉えることや不適切な初期値によるインパルス現象の回避などに利用した。また、システムの時間軸と空間軸に関する次数変化を同時に扱う偏微分方程式を考えることで、厳密に時間および空間に関する離散化を行った。拡散方程式を変数分離して厳密離散モデルを得た先行研究の方法を波動方程式に適用し、空間と時間ともに2次の常微分方程式に変換して厳密離散モデルを得た。計算精度を上げるための細かい空間や時間の刻みが必要なくなり、モデルベースの制御系設計と制御の実行が容易になった。

Report

(5 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (10 results)

All 2022 2021 2020 2019

All Journal Article (2 results) (of which Peer Reviewed: 2 results,  Open Access: 2 results) Presentation (8 results) (of which Int'l Joint Research: 8 results)

  • [Journal Article] Digital Control of a Stepping Motor for Eliminating Rotation Speed Fluctuations Using Adaptive Gains2021

    • Author(s)
      D. Isobe, N. Hori, S. Kawai, K. Yagi, & T. Nguyen-Van
    • Journal Title

      Electronics

      Volume: 10 Issue: 11 Pages: 1335-1335

    • DOI

      10.3390/electronics10111335

    • NAID

      120007190965

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Generalized Discretization of Continuous-Time Distributions2020

    • Author(s)
      S. Kawai and N. Hori
    • Journal Title

      IET, The Journal of Engineering

      Volume: July Issue: 7 Pages: 259-267

    • DOI

      10.1049/joe.2019.1124

    • Related Report
      2020 Research-status Report 2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] Two methods to discretize the wave equation in time and space.2022

    • Author(s)
      T. Suzuki, Y. Tokutomi, N. Hori, T. Nguyen-Van, & S. Kawai
    • Organizer
      IEEE Int. Conf. on Control, Mechatronic and Automation
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Discretization Accuracy of Mapping Models in Closed-Loop2021

    • Author(s)
      T. Kubota, N. Hori, T. Nguyen-Van, and S. Kawai
    • Organizer
      IEEE GCCE 2021
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Design of a Controller for Plants Undergoing Order Changes2020

    • Author(s)
      T. Kubota, N. Hori, T. Nguyen-Van, and S. Kawai
    • Organizer
      59th SICE Annual Conference
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Interpretation of Kitamori’s Partial-Model-Matching Method in a Descriptor-Form Expression2020

    • Author(s)
      S. Kawai and N. Hori
    • Organizer
      IEEE Conference on Control Technology and Applications
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] On Computation of Fractional-Order Differentiations2020

    • Author(s)
      S. Ebihara and N. Hori,
    • Organizer
      Int. Conf. on Electrical Engineering, Control and Robotics
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] On Computation of Fractional-Order Differentiations2020

    • Author(s)
      S. Ebihara and N. Hori
    • Organizer
      The 6th Int. Conf. on Electrical Engineering, Control and Robotics
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Effects of Changes in the Leading Coefficient of Fifth-Order Manabe’s Polynomial2019

    • Author(s)
      H. Morita and N. Hori
    • Organizer
      The 2nd Int. Conf. on Mechatronics, Robotics and Automation
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Design of Dual-Rate PIM-Disturbance Regulators for a DC-DC Switching Converters2019

    • Author(s)
      N. Nishinaga, N. Hori, and X. Ruan
    • Organizer
      The 3rd Int. Conf. on Automation, Control and Robotics
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research

URL: 

Published: 2019-04-18   Modified: 2024-01-30  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi