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Time Discretization of Descriptor Systems for Model-Based Controller Design

Research Project

Project/Area Number 16K06144
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Dynamics/Control
Research InstitutionUniversity of Tsukuba

Principal Investigator

Hori Noriyuki  筑波大学, システム情報系, 教授 (70312824)

Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywordsディスクリプタ形式 / 離散時間化 / 初期値設定 / 次数変化 / 離散空間化 / モデルベース離散時間制御系 / デスクリプタ形式 / 時空離散化 / 制御工学
Outline of Final Research Achievements

The system order has normally been assumed to be constant in discretizing a continuous-time descriptor system for numerical computations. Through this research, such a change can be viewed as a change in the internal modes of a descriptor system. From this perspective, it will be easier to carry out model-based digital controller designs that allow order changes. The concept of signal normalization has also been generalized to include such functions as the impulse, which then lead to a formula to calculate appropriate initial values to solve a long-standing issue of impulsive responses caused by inappropriate setting of the initial condition in descriptor systems.

Academic Significance and Societal Importance of the Research Achievements

超関数の離散時間化の定義を定め、それを元にデスクリプタ系の一般的離散時間モデルを開発したことにより、これまで未解決であった初期値の選択方法などの諸問題を根本的に解決した。更に、次数の本質や定義に関する根源的な検討を行うことで、デスクリプタ形式の特徴である静的/微分モードを含んだ離散時間制御系を統一的な視点から構築できるようになった。これにより、モデルベースの制御系設計手法が更に社会に浸透することに貢献できる。

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (12 results)

All 2018 2017 2016 Other

All Int'l Joint Research (1 results) Journal Article (2 results) (of which Peer Reviewed: 2 results,  Open Access: 1 results) Presentation (9 results) (of which Int'l Joint Research: 9 results)

  • [Int'l Joint Research] McGill University(Canada)

    • Related Report
      2017 Research-status Report
  • [Journal Article] General Mapping Discrete-Time Models of a Descriptor System with an Arbitrary Initial Condition2018

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

      Automatica

      Volume: 87 Pages: 428-431

    • DOI

      10.1016/j.automatica.2017.09.005

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Mapping Discrete-Time Models for Descriptor-Systems with Consistent Initial Conditions2016

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

      Trans. of the Can. Soc. Mech. Eng.

      Volume: 40

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Presentation] On the Choice of a Proper Initial Condition for Derivative Controllers2018

    • Author(s)
      S. Kawai and N. Hori
    • Organizer
      44th Annual Conf. of the IEEE IECON
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Plant-Input-Mapping Discretization in State-Space Form2018

    • Author(s)
      K. Yagi and N. Hori
    • Organizer
      IEEE ICIT
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Plant-Input-Mapping Discretization in State-Space Form2018

    • Author(s)
      Y K. Yagi and N. Hori
    • Organizer
      IEEE Int. Conf. on Industrial Technology (ICIT)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Model Orders and Numerical Issues in LLC Resonant DC-DC Converters2017

    • Author(s)
      R. Higashiya and N. Hori
    • Organizer
      IASTED MIC 2017
    • Place of Presentation
      Innsbruck, Austria
    • Year and Date
      2017-02-21
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] A New Interpretation of Order-Changes in Terms of Mode-Shifts in a Descriptor System2017

    • Author(s)
      S. Kawai and N. Hori
    • Organizer
      IASTED MIC 2017
    • Place of Presentation
      Innsbruck, Austria
    • Year and Date
      2017-02-20
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Exact Temporal/Spatial Discretization of a Parabolic Partial-Differential-Equation2017

    • Author(s)
      S. Kawai and N. Hori
    • Organizer
      Int. Conf. on Control, Mechatronics and Automation (ICCMA
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Effect of Hyper-Damped Poles on the Step-Response of a Second-Order System under Proportional-Half-Derivative Feedback2017

    • Author(s)
      L. Nakahara and N. Hori
    • Organizer
      Int. Conf. on Control, Mechatronics and Automation (ICCMA)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] PIM Discretization of Analog PWM Control for DC-DC Switching Converters2017

    • Author(s)
      N. Nishinaga and N. Hori
    • Organizer
      Int. Conf. on Control, Mechatronics and Automation (ICCMA)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Digital Regulation of an LLC Resonant Converter Undergoing Dynamic Load Transients - Model-Based PIM Design and Simulation2016

    • Author(s)
      Y. Isobe, N. Hori, and K. Someya,
    • Organizer
      SICE Annual Conference 2017
    • Place of Presentation
      Tsukuba International Congress Center, Tsukuba, Japan
    • Year and Date
      2016-09-21
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research

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Published: 2016-04-21   Modified: 2020-03-30  

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