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System decompositions for the design of constrained control systems and its application to the model predictive control

Research Project

Project/Area Number 19560449
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionTokyo Metropolitan University

Principal Investigator

KOJIMA Akira  Tokyo Metropolitan University, システムデザイン研究科, 教授 (80234756)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2007: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywordsモデル予測制御 / システム分解 / 拘束システム / H2制御 / 制御工学 / 特異値分解
Research Abstract

Model Predictive Control (MPC) has become a standard control strategy for constrained multivariable systems and, for the application to the broader class of mechatronics systems, fast computation algorithm for the online-optimization of control input has been required.
In this study, a system decomposition method is derived for linear time-invariant systems and it is clarified that the dominant system responses are fairly characterized based on the eigenvalue problem of compact operators. The fundamental result obtained here is employed for the derivation of low-order MPC control law and the feature of the proposed control law is investigated with several design examples.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (38 results)

All 2010 2009 2008 2007

All Journal Article (17 results) (of which Peer Reviewed: 17 results) Presentation (21 results)

  • [Journal Article] H2 performance on multiple preview compensation2009

    • Author(s)
      K. Yokokoyama, A. Kojima
    • Journal Title

      Proc. of ICROS-SICE International Joint Conference 2009

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] H2 performance on multiple preview compensation2009

    • Author(s)
      K.Yokoyama
    • Journal Title

      Proc.of ICROS-SICE International Joint Conference 2009

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stability analysis of state-delay systems based on the charact erization of state-transition operator2009

    • Author(s)
      A.Kojima
    • Journal Title

      Proc.of The Combined 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference

      Pages: 1317-1323

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 離散時間線形系の分解と低次元化モデル予測制御への応用2008

    • Author(s)
      原尚之, 児島晃
    • Journal Title

      計測自動制御学会論文集 Vol.44,No.12

      Pages: 1017-1026

    • NAID

      10024594396

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Constrained control based on a decomposition of finite-horizon linear systems2008

    • Author(s)
      N. Hara, A. Kojima
    • Journal Title

      Proc. SICE Annual Conference 2008

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stabilizing reduced order model predictive control for constrained linear systems2008

    • Author(s)
      N. Hara, A. Kojima
    • Journal Title

      Proc. of 17th IFAC World Congress

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Proc. of 17th IFAC World Congress2008

    • Author(s)
      A. Kojima, N. Morooka
    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] An off-line design method of compensation law for constrained linear systems2008

    • Author(s)
      N. Hara, A. Kojima
    • Journal Title

      International Journal of Robust and Nonlinear Control Vol.18,No.1

      Pages: 51-68

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 制御系の制約を考慮した制御器の状態設定2008

    • Author(s)
      原尚之, 児島晃
    • Journal Title

      電気学会論文誌C Vol.128-C,No.1

      Pages: 70-77

    • NAID

      10020027011

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] State value compensation of controller for constrained systems2008

    • Author(s)
      Naoyuki Hara
    • Journal Title

      Electronics and Communications in Japan 91-11

      Pages: 1-10

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 離散時間線形系の分解と低次元化モデル予測制御への応用2008

    • Author(s)
      原 尚之
    • Journal Title

      計測自動制御学会論文集 44-12

      Pages: 1017-1026

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An off-line design method of compensation law for constrained linear systems2008

    • Author(s)
      Naoyuki Hara, Akira Kojima
    • Journal Title

      International Journal of Robust and Nonlinear Control Vol.18, No.1

      Pages: 51-68

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 制御系の制約を考慮した制御器の状態設定2008

    • Author(s)
      原 尚之, 児島 晃
    • Journal Title

      電気学会論文誌C Vol.128-C, No.1

      Pages: 70-77

    • NAID

      10020027011

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reduced order model predictive control method based on decomposition of discrete-time linear systems2007

    • Author(s)
      N. Hara, A. Kojima
    • Journal Title

      Proc. of 46th IEEE Conference on Decision and Control

      Pages: 1269-1274

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] パラメトリック最適化を用いた張力・ルーパ系のオフライン設計2007

    • Author(s)
      諸岡伸幸, 児島晃
    • Journal Title

      鉄と鋼 Vol.93,No.8

      Pages: 525-531

    • NAID

      110006367422

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] パラメトリック最適化を用いた張力・ルーパ系のオフライン設計2007

    • Author(s)
      諸岡伸幸, 児島 晃
    • Journal Title

      鉄と鋼 Vol.93, No.8

      Pages: 525-531

    • NAID

      110006367422

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reduced order model predictive control method based on decomposition of discrete-time linear systems2007

    • Author(s)
      N. Hara and A. Kojima
    • Journal Title

      Proc. of 46th IEEE Conference on Decision and Control Vol.1

      Pages: 1269-1274

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] 複数の予見情報を考慮したH2制御と状態設定法の検討2010

    • Author(s)
      横山一生, 児島晃
    • Organizer
      第10回制御部門大会
    • Place of Presentation
      熊本
    • Year and Date
      2010-03-17
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] 状態むだ時間系の安定解析-安定条件の一般化-2009

    • Author(s)
      児島晃
    • Organizer
      第38回制御理論シンポジウム
    • Place of Presentation
      大阪
    • Year and Date
      2009-09-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] 倒立振子の目標値追従制御-積分器の初期値設定に関する検討-2009

    • Author(s)
      望月晋太郎, 児島晃
    • Organizer
      平成21年度電気学会電子・情報・システム部門大会
    • Place of Presentation
      徳島
    • Year and Date
      2009-09-04
    • Related Report
      2009 Final Research Report
  • [Presentation] 倒立振子の目標値追従制御-積分器の初期値設定に関する検討-2009

    • Author(s)
      望月晋太郎
    • Organizer
      平成21年度電気学会 電子・情報・システム部門大会
    • Place of Presentation
      徳島
    • Year and Date
      2009-09-04
    • Related Report
      2009 Annual Research Report
  • [Presentation] 負荷移行による張力変動を考慮したコイラー巻き取り制御2009

    • Author(s)
      古屋賢一
    • Organizer
      平成21年度電気学会 電子・情報・システム部門大会
    • Place of Presentation
      徳島
    • Year and Date
      2009-09-04
    • Related Report
      2009 Annual Research Report
  • [Presentation] モード遷移を考慮した離散時間最適レギュレータ:張力・ルーパ系への適用2008

    • Author(s)
      児島晃, 諸岡伸幸
    • Organizer
      日本鉄鋼協会第155回春季講演大会
    • Place of Presentation
      東京
    • Year and Date
      2008-03-27
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] モード遷移を考慮した離散時間最適レギュレータの構成:アファイン系への拡張と張力・ルーパ系への応用2008

    • Author(s)
      谷山直人, 児島晃
    • Organizer
      第51回自動制御連合講演会
    • Place of Presentation
      米沢
    • Related Report
      2009 Final Research Report
  • [Presentation] 離散時間線形系の分解に基づいた低次元化モデル予測制御2008

    • Author(s)
      原尚之, 児島晃
    • Organizer
      第51回自動制御連合講演会
    • Place of Presentation
      米沢
    • Related Report
      2009 Final Research Report
  • [Presentation] モード遷移を考慮した離散時間最適レギュレータの構成2008

    • Author(s)
      児島晃, 谷山直人
    • Organizer
      37回制御理論シンポジウム
    • Place of Presentation
      霧島
    • Related Report
      2009 Final Research Report
  • [Presentation] H2予見制御則の導出-出力フィードバックの場合-2008

    • Author(s)
      To Hoang Quan, 児島晃
    • Organizer
      平成20年度電気学会電子・情報・システム部門大会
    • Place of Presentation
      函館
    • Related Report
      2009 Final Research Report
  • [Presentation] Stabilizing reduced order model predictive control for constrained Linear systems2008

    • Author(s)
      Naoyuki Hara
    • Organizer
      17th IFAC World Congress
    • Place of Presentation
      Seoul, Korea
    • Related Report
      2008 Annual Research Report
  • [Presentation] Start-up control of a hot strip mill tension/looper system : an approach based on model predictive control2008

    • Author(s)
      Akira Kojima
    • Organizer
      17th IFAC World Congress
    • Place of Presentation
      Seoul, Korea
    • Related Report
      2008 Annual Research Report
  • [Presentation] Constrained control based on a decomposition of finite-horizon linear systems2008

    • Author(s)
      Naoyuki Hara
    • Organizer
      SICE Annual Conference 2008
    • Place of Presentation
      Chofu, Japan
    • Related Report
      2008 Annual Research Report
  • [Presentation] H2予見制御則の導出-出力フィードバックの場合-2008

    • Author(s)
      To Hoang Quan
    • Organizer
      平成20年度電気学会 電子・情報・システム部門大会
    • Place of Presentation
      函館, 北海道
    • Related Report
      2008 Annual Research Report
  • [Presentation] モード遷移を考慮した離散時間最適レギュレータの構成2008

    • Author(s)
      児島 晃
    • Organizer
      第37回制御理論シンポジウム
    • Place of Presentation
      霧島, 鹿児島
    • Related Report
      2008 Annual Research Report
  • [Presentation] モード遷移を考慮した離散時間最適レギュレータの構成 : アファイン系への拡張と張力・ルーパ系への応用2008

    • Author(s)
      谷山直人
    • Organizer
      第51回自動制御連合講演会
    • Place of Presentation
      米沢, 山形
    • Related Report
      2008 Annual Research Report
  • [Presentation] 離散時間線形系の分解に基づいた低次元化モデル予測制御2008

    • Author(s)
      原 尚之
    • Organizer
      第51回自動制御連合講演会
    • Place of Presentation
      米沢, 山形
    • Related Report
      2008 Annual Research Report
  • [Presentation] 離散時間線形系の分解に基づく安定性を保証した低次元化モデル予測制御則の一構成法2007

    • Author(s)
      原尚之, 児島晃
    • Organizer
      第50回自動制御連合講演会
    • Place of Presentation
      神奈川
    • Year and Date
      2007-11-24
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] 予見動作とH∞制御2007

    • Author(s)
      児島晃
    • Organizer
      第50回自動制御連合講演会
    • Place of Presentation
      神奈川
    • Year and Date
      2007-11-24
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] Reduced order model predictive control for discrete-time constrained linear systems2007

    • Author(s)
      N. Hara, A. Kojima
    • Organizer
      第36回制御理論シンポジウム
    • Place of Presentation
      札幌
    • Year and Date
      2007-09-07
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] 有限時間区間H∞制御を用いた張力ルーパ系の起動制御2007

    • Author(s)
      登丸夢我, 児島 晃
    • Organizer
      平成19年度電気学会 電子・情報・システム部門大会
    • Place of Presentation
      大阪
    • Year and Date
      2007-09-04
    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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