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Development of a controller design method under inequality constraints

Research Project

Project/Area Number 16K18120
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Control engineering/System engineering
Research InstitutionKyushu University

Principal Investigator

Yuno Tsuyoshi  九州大学, システム情報科学研究院, 助教 (10756232)

Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords非線形制御 / 制約 / 拘束 / 代数的手法 / 不変集合 / 制御理論
Outline of Final Research Achievements

A controller design method was proposed for the case in which the motion of the target system is restricted, namely, the system has constraints. Under a certain assumption, this method is more effective than the conventional one. Moreover, another controller design method was derived to satisfy the constraints approximately even when the system is perturbed. The controller design can easily be conducted by using computer algebra systems. In addition, the proposed theory was developed also for a particular model (Roesser model) used in some areas such as image processing.

Academic Significance and Societal Importance of the Research Achievements

現実の制御対象には複数の制約条件が課されているのが普通であるため,制約を満足する制御器の設計手法を確立することは非常に重要な課題であり,本研究の成果は学術的にも応用上でも意義深い.また,現実の制御対象には常に外乱が作用するため,その場合にも有効な手法が得られたことは実用上非常に重要である.さらに,その制御器が数式処理システムを用いて容易に計算可能であることも実用上非常に重要である.また,Roesserモデルは,例えば画像処理の分野で重要な役割を果たしている一方で解析が困難であるため,本研究の理論がその上で展開できたという事実は,本手法の有用性を強く示している.

Report

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

    (7 results)

All 2019 2018 2017 2016 Other

All Int'l Joint Research (2 results) Presentation (5 results) (of which Int'l Joint Research: 2 results)

  • [Int'l Joint Research] RWTH Aachen University(ドイツ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] RWTH Aachen University(ドイツ)

    • Related Report
      2017 Research-status Report
  • [Presentation] 単一の代数不等式で定義される集合の不変化と安定化2019

    • Author(s)
      湯野剛史, 大塚敏之
    • Organizer
      計測自動制御学会 第6回 制御部門マルチシンポジウム
    • Related Report
      2018 Annual Research Report
  • [Presentation] Controlled Invariance for 1D and 2D Time-varying Nonlinear Control Systems2018

    • Author(s)
      Tsuyoshi Yuno and Eva Zerz
    • Organizer
      The 23rd International Symposium on Mathematical Theory of Networks and Systems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 計算機代数学に基づく境界近傍制御への一つのアプローチ2017

    • Author(s)
      湯野剛史
    • 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
    • Place of Presentation
      岡山大学津島キャンパス(岡山県・岡山市)
    • Year and Date
      2017-03-06
    • Related Report
      2016 Research-status Report
  • [Presentation] 単一の多項式関数の不等式で定義される部分集合を不変にする動的補償器の設計2017

    • Author(s)
      湯野剛史, 大塚敏之
    • Organizer
      第60回自動制御連合講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] Rendering a Prescribed Subset Invariant for Polynomial Systems by Dynamic State-Feedback Compensator2016

    • Author(s)
      Tsuyoshi Yuno, Toshiyuki Ohtsuka
    • Organizer
      10th IFAC Symposium on Nonlinear Control Systems
    • Place of Presentation
      Monterey (USA)
    • Year and Date
      2016-08-23
    • 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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