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Exploitation of Computational Control Theory

Research Project

Project/Area Number 16360212
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionKyushu Institute of Technology

Principal Investigator

NOBUYAMA Eitaku  Kyushu Institute of Technology, Faculty of Computer Science and Systems Engineering, Professor, 情報工学部, 教授 (50205291)

Co-Investigator(Kenkyū-buntansha) TSUCHIYA Takashi  Institute of Statistical Mathematics, Department of Mathematical Analysis and Statistical Inference, Professor, 統計数理研究所・数理推論研究系, 教授 (00188575)
SEBE Noboru  Kyushu Institute of Technology, Faculty of Computer Science and Systems Engineering, Associate Professor, 情報工学部, 助教授 (90216549)
KOGA Masanobu  Kyushu Institute of Technology, Faculty of Computer Science and Systems Engineering, Associate Professor, 情報工学部, 助教授 (90251644)
ITO Hiroshi  Kyushu Institute of Technology, Faculty of Computer Science and Systems Engineering, Associate Professor, 情報工学部, 助教授 (70274561)
Project Period (FY) 2004 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥5,600,000 (Direct Cost: ¥5,600,000)
Fiscal Year 2006: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2004: ¥3,400,000 (Direct Cost: ¥3,400,000)
KeywordsControl systems design / Numerical optimization / Parallel computation / 平方和最適化 / 計算制御論 / 外点法アプローチ / Sum of Squares / ロバスト制御
Research Abstract

The objective of this research project is to exploit a new field for control theory called "Computational Control Theory" which gives numerical methods using computational power for obtaining sub-optimal solutions for control problems which are hardly solved theoretically. In this term of project the following results have been obtained.
1. Iterative methods for obtaining sub-optimal numerical solutions to multi-objective control problems : For multi-objective control problems we have proposed a numerical method using sub-level sets, an exterior point method and a bi-section method, and show the effectiveness using some numerical examples.
2. System identification methods for gray-box models : For parameter estimation problem for gray-box models we have given some numerical methods based upon SOS (sum of squares) optimization methods, and given a robustness analysis method.
3. Robust control design methods for bi-linear systems : From the optimality condition for the L2 gain optimization problem in bi-linear systems Riccati-type inequalities including state variables are derived. For such inequalities we have given a numerical method based upon SOS (sum of squares) optimization methods to obtain a feasible solution.
4. Numerical methods for input-saturated systems : For input-saturated systems we have proposed a new representation form using polynomials, and given numerical methods for obtaining feasible solutions to robust analysis/design problems for such systems.
5. Parallel computing : We have constructed a PC cluster system for parallel computing, and applied it to solve some control design problems.

Report

(4 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • Research Products

    (9 results)

All 2007 2006 2005 2004

All Journal Article (9 results)

  • [Journal Article] 混合H∞/D安定制御系問題に対する一罰金法2007

    • Author(s)
      上, 延山
    • Journal Title

      システム制御情報学会論文集 20・5

      Pages: 224-226

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Penalty function approach to the mixed H-infinity/D-stability control2007

    • Author(s)
      Y.Kami, E.Nobuyama, T.Fukuoka
    • Journal Title

      Transactions of ISCIE (in Japanese) 20-5

      Pages: 224-226

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 減衰項のある大規模システムのモード分解による一低次元化法2006

    • Author(s)
      瀬部, 延山, 高田, 宮元
    • Journal Title

      システム制御情報学会論文集 19・9

      Pages: 365-367

    • NAID

      10018416715

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A model reduction method for large-dimensional systems with damping factors based on modal decomposition2006

    • Author(s)
      N.Sebe, E.Nobuyama, S.Takada, S.Miyamoto
    • Journal Title

      Transactions of ISCIE (in Japanese) 19-9

      Pages: 365-367

    • NAID

      10018416715

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 減衰項のある大規模システムのモード分解による一低次元化法2006

    • Author(s)
      瀬部, 延山, 高田, 宮元
    • Journal Title

      システム制御情報学会論文誌 19・9

      Pages: 365-367

    • NAID

      10018416715

    • Related Report
      2006 Annual Research Report
  • [Journal Article] H2レベル制御器集合を用いたH2最適制御系設計法と混合H2/D-stability制御問題への応用2005

    • Author(s)
      上, 延山
    • Journal Title

      計測自動制御学会論文集 41・6

      Pages: 491-498

    • NAID

      130003791979

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary 2005 Annual Research Report
  • [Journal Article] An Iterative Method for the H2 Control Problem Using H2 Level Controller Sets and Its Application to the Mixed H2/D-stability Control Problem2005

    • Author(s)
      Y.Kami, E.Nobuyama
    • Journal Title

      Transactions of SICE (in Japanese) 41-6

      Pages: 491-498

    • NAID

      130003791979

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] H2ノルムを単調減少させる制御器列を用いた混合H2/H∞制御系設計法2004

    • Author(s)
      上, 延山
    • Journal Title

      計測自動制御学会論文集 40・4

      Pages: 382-389

    • NAID

      130003971351

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Iterative Methods for the Mixed H2/H-infinity Control System Design using H2 Norm Decreasing Controller Sequences2004

    • Author(s)
      Y.Kami, E.Nobuyama
    • Journal Title

      Transactions of SICE (in Japanese) 40-4

      Pages: 382-389

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary

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Published: 2004-04-01   Modified: 2016-04-21  

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