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2011 Fiscal Year Final Research Report

Robust Optimization for Robust/Nonlinear Control Problems with Nonlinear Structures

Research Project

  • PDF
Project/Area Number 21560477
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

OISHI Yasuaki  南山大学, 情報理工学部, 教授 (80272392)

Co-Investigator(Renkei-kenkyūsha) TAKAMI Isao  南山大学, 情報理工学部, 教授 (20351075)
CHEN Gan  南山大学, 情報理工学部, 准教授 (00295718)
MASUBUCHI Izumi  神戸大学, 大学院・システム情報学研究科, 准教授 (90283150)
EBIHARA Yoshio  京都大学, 大学院・工学研究科, 准教授 (80346080)
Project Period (FY) 2009 – 2011
Keywords制御理論
Research Abstract

For the application to robust and nonlinear control problems possessing nonlinear structures, robust optimization methods are investigated on their theoretical properties, their applicability, and their usefulness in the control application. In particular, the exactness verification method is generalized for robust optimization problems with function variables. An asymptotically exact method is developed for robust optimization problems with non-polynomial parameter dependence. Gain-scheduled control is considered for a crane with a robust optimization method. Analysis and synthesis of an aperiodic sampled-data control system, which is a new type of control systems, are considered in the framework of robust optimization.

  • Research Products

    (10 results)

All 2011 2010 2009

All Journal Article (10 results) (of which Peer Reviewed: 10 results)

  • [Journal Article] Robust semidefinite programming problems with general nonlinear parameter dependence : application of the DC-Representations2011

    • Author(s)
      Y. Oishi and T. Alamo
    • Journal Title

      Proceedings of the 18th IFAC World Congress, Milan, Italy

      Pages: 7939-7944

    • Peer Reviewed
  • [Journal Article] A switched Lyapunov function approach to stability analysis of non-uniformly sampled-data systems with robust LMI techniques2011

    • Author(s)
      H. Fujioka and Y. Oishi
    • Journal Title

      Proceedings of the 8th Asian Control Conference, Kaohsiung, Taiwan

      Pages: 1487-1491

    • Peer Reviewed
  • [Journal Article] Stability analysis of aperiodic sampled-data control systems : an improved approach using matrix uncertainty2011

    • Author(s)
      Y. Oishi and H. Fujioka
    • Journal Title

      Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems(MTNS2010)

      Pages: 1147-1152

    • Peer Reviewed
  • [Journal Article] A matrix-dilation approach to robust semidefinite programming and its error bound2010

    • Author(s)
      Y. Oishi
    • Journal Title

      SICE Journal of Control, Measurement, and System Integration

      Volume: Vol.3, No.5 Pages: 372-380

    • Peer Reviewed
  • [Journal Article] Stability and stabilization of aperiodic sampled-data control systems using robust linear matrix inequalities2010

    • Author(s)
      Y. Oishi and H. Fujioka
    • Journal Title

      Automatica

      Volume: Vol.46, No.8 Pages: 1327-1333

    • Peer Reviewed
  • [Journal Article] Stability and stabilization of aperiodic sampled-data control systems : an approach using robust linear matrix inequalities2009

    • Author(s)
      Y. Oishi and H. Fujioka
    • Journal Title

      Proceedings of the 48th IEEE Conference on Decision and Control

      Pages: 8142-8147

    • Peer Reviewed
  • [Journal Article] Exploiting sparsity in the matrix-dilation approach to robust semidefinite programming2009

    • Author(s)
      Y. Oishi and Y. Isaka
    • Journal Title

      Journal of the Operations Research Society of Japan

      Volume: Vol.52, No.3 Pages: 321-338

    • Peer Reviewed
  • [Journal Article] An asymptotically exact approach to robust semidefinite programming problems with function variables2009

    • Author(s)
      Y. Oishi
    • Journal Title

      IEEE Transactions on Automatic Control

      Volume: Vol.54, No.5 Pages: 1000-1006

    • Peer Reviewed
  • [Journal Article] A region-dividing technique for constructing the sum-of-squares approximations to robust semidefinite programs2009

    • Author(s)
      T. Jennawasin and Y. Oishi
    • Journal Title

      IEEE Transactions on Automatic Control

      Volume: Vol.54, No.5 Pages: 1029-1035

    • Peer Reviewed
  • [Journal Article] 2乗和多項式に基づくクレーンのゲインスケジュールド制御2009

    • Author(s)
      青木・高見・大石
    • Journal Title

      計測自動制御学会論文集

      Volume: Vol.45, No.4 Pages: 208-214

    • Peer Reviewed

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Published: 2013-07-31  

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