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Stabilization of distributed parameter systems based on discontinuous state transformations

Research Project

Project/Area Number 24760329
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Control engineering
Research InstitutionHokkaido University

Principal Investigator

TSUBAKINO Daisuke  北海道大学, 情報科学研究科, 助教 (00612813)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords制御理論 / 分布定数系 / 偏微分方程式 / 状態変換 / 安定化 / 制御工学
Outline of Final Research Achievements

The systems modeled by partial differential equations are called distributed parameter systems. The purpose of this research project is to develop a systematic method to design stabilizing controllers for distributed parameter systems. To this end, we have focused on state transformations with discontinuity in a certain sense. We derived stabilizing controllers for parabolic systems with spatially distributed control input, boundary-coupled parabolic systems, and hyperbolic systems as a mathematical model of time delay in the control input. The decay rate of the closed-loop system under the proposed controller
is arbitrary assignable.

Report

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

    (12 results)

All 2015 2014 2013 Other

All Journal Article (3 results) (of which Peer Reviewed: 2 results) Presentation (8 results) Remarks (1 results)

  • [Journal Article] Boundary Control of Boundary Coupled Parabolic Distributed Parameter Systems based on Partial State Transformation2013

    • Author(s)
      椿野大輔, 野村和也, 山下裕
    • Journal Title

      Transactions of the Institute of Systems, Control and Information Engineers

      Volume: 26 Issue: 7 Pages: 277-287

    • DOI

      10.5687/iscie.26.277

    • NAID

      130003388021

    • ISSN
      1342-5668, 2185-811X
    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] 状態変換に基づく分布定数系の制御器設計2013

    • Author(s)
      椿野大輔
    • Journal Title

      システム/制御/情報

      Volume: 57 Pages: 270-275

    • Related Report
      2013 Research-status Report
  • [Journal Article] 部分変換を用いた境界結合放物型分布定数系の境界制御2013

    • Author(s)
      椿野大輔,野村和也,山下裕
    • Journal Title

      システム制御情報学会論文誌

      Volume: 26 (7)

    • NAID

      130003388021

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Predictor-feedback for multi-input LTI systems with distinct delays2015

    • Author(s)
      Daisuke Tsubakino, Tiago Roux Oliveira, and Miroslav Krstic
    • Organizer
      2015 American Control Conference
    • Place of Presentation
      Chicago, IL, USA
    • Year and Date
      2015-07-01 – 2015-07-03
    • Related Report
      2014 Annual Research Report
  • [Presentation] State estimation for boundary-coupled parabolic distributed parameter systems using spatial averages2015

    • Author(s)
      Daisuke Tsubakino and Yuh Yamashita
    • Organizer
      10th Asian Control Conference
    • Place of Presentation
      Kota Kinabalu, Malaysia
    • Year and Date
      2015-05-31 – 2015-06-03
    • Related Report
      2014 Annual Research Report
  • [Presentation] Backstepping-forwarding control of parabolic PDEs with partially separable kernels2014

    • Author(s)
      Daisuke Tsubakino, Federico Bribiesca Argomedo, and Miroslav Krstic
    • Organizer
      53rd IEEE Conference on Decision and Control
    • Place of Presentation
      Los Angeles, CA, USA
    • Year and Date
      2014-12-15 – 2014-12-17
    • Related Report
      2014 Annual Research Report
  • [Presentation] 空間平均値に基づく境界結合放物型分布定数系の状態推定2014

    • Author(s)
      椿野大輔、山下裕
    • Organizer
      第57回自動制御連合講演会
    • Place of Presentation
      群馬伊香保
    • Year and Date
      2014-11-10 – 2014-11-12
    • Related Report
      2014 Annual Research Report
  • [Presentation] Boundary control of a cascade of two parabolic PDEs with different diffusion coefficients2013

    • Author(s)
      Daisuke Tsubakino, Miroslav Krstic, Yuh Yamashita
    • Organizer
      52nd IEEE Conference on Decision and Control
    • Place of Presentation
      Palazzo dei Congressi (Florence, Italy)
    • Related Report
      2013 Research-status Report
  • [Presentation] 境界結合放物型分布定数系のバックステッピング境界制御

    • Author(s)
      椿野大輔,山下裕
    • Organizer
      第13回制御部門大会
    • Place of Presentation
      アクロス福岡(福岡市)
    • Related Report
      2012 Research-status Report
  • [Presentation] 境界結合放物型分布定数系の境界制御に関する一考察

    • Author(s)
      椿野大輔,野村和也,山下裕
    • Organizer
      第55回自動制御連合講演会
    • Place of Presentation
      京都大学(京都市)
    • Related Report
      2012 Research-status Report
  • [Presentation] Backstepping control for parabolic PDEs with in-domain actuation

    • Author(s)
      Daisuke Tsubakino, Miroslav Krstic, Shinji Hara
    • Organizer
      2012 American Control Conference
    • Place of Presentation
      Fairmont Queen Elizabeth (Montreal, Canada)
    • Related Report
      2012 Research-status Report
  • [Remarks] 研究者のホームページ

    • URL

      http://stlab.ssi.ist.hokudai.ac.jp/tsubakino/

    • Related Report
      2014 Annual Research Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

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