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Integration of nonlinear control, nonlinear programming and methods of numerically solving ordinary differential equations.

Research Project

Project/Area Number 23560535
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Control engineering
Research InstitutionUniversity of the Ryukyus

Principal Investigator

HANBA Shigeru  琉球大学, 工学部, 准教授 (70284958)

Project Period (FY) 2011-04-28 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords非線形制御 / 非線形計画法 / モデル予測制御 / 適応制御 / 可観測性 / 可制御性 / 安定化 / 最適化 / 線形計画法 / ロバスト性 / ディスクリプタシステム
Outline of Final Research Achievements

Problems related to the crossover of nonlinear control, nonlinear programming and numerical solutions of differential equations have been investigated in this research. A new adaptive model predictive controller for a discrete-time nonlinear system that employs the structure of block model predictive control has been proposed. It has been proved that a discrete-time nonlinear system that is controllable to the origin is stabilizable by discontinuous state feedback. It has also been proved that, for a continuous-time autonomous system, the injectivity of the observation map together with its full-rankness implies the existence of a finite observation window and a corresponding K-function. Characterization problem of solutions of nonlinear descriptor systems and the problem of constructing a p-norm-based model predictive controller has been investigated as well.

Report

(5 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (5 results)

All 2015 2014 2012

All Journal Article (3 results) (of which Open Access: 3 results,  Acknowledgement Compliant: 3 results) Presentation (2 results)

  • [Journal Article] Existence of an observation window of finite width for continuous-time autonomous nonlinear systems2015

    • Author(s)
      Shigeru Hanba
    • Journal Title

      arXiv

      Volume: 1505.05970 Pages: 1-7

    • Related Report
      2014 Annual Research Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] Adaptive set-point regulation of discrete-time nonlinear systems2015

    • Author(s)
      Shigeru Hanba
    • Journal Title

      arXiv

      Volume: 1505.05967 Pages: 1-10

    • Related Report
      2014 Annual Research Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] Controllability to the origin implies state-feedback stabilizability for discrete-time nonlinear systems2015

    • Author(s)
      Shigeru Hanba
    • Journal Title

      arXiv

      Volume: 1505.05937 Pages: 1-6

    • Related Report
      2014 Annual Research Report
    • Open Access / Acknowledgement Compliant
  • [Presentation] p ノルムに基づく線形システムのモデル予測制御2014

    • Author(s)
      半場 滋
    • Organizer
      第1回 制御部門マルチシンポジウム
    • Place of Presentation
      電気通信大学(東京都)
    • Related Report
      2013 Research-status Report
  • [Presentation] 非レギュラーなディスクリプタシステムの微分可能解の特徴付け2012

    • Author(s)
      半場 滋
    • Organizer
      第12回制御部門大会
    • Place of Presentation
      奈良県文化会館,奈良
    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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