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Analysis and Synthesis of Robust Control Systems based on Semidefinite Programming and Duality Theory

Research Project

Project/Area Number 18760319
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Control engineering
Research InstitutionKyoto University

Principal Investigator

EBIHARA Yoshio  Kyoto University, 大学院工学研究科, 講師 (80346080)

Project Period (FY) 2006 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥2,310,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2006: ¥700,000 (Direct Cost: ¥700,000)
Keywords制御系解析・設計 / 半正定値計画 / 双対理論 / 数値最適化
Research Abstract

本研究では,線形システムの解析および制御系設計を行う際に重要な役割を果たす,半正定値計画(SDP)に関する包括的な研究を遂行した.とくにロバストSDPと呼ばれる数値的球解が困難な問題に対するSDP緩和,SDPの双対に基づいた厳密なロバスト性能解析,およびSDPに基づくロバスト制御系設計などに関して,理論的に豊富な成果が得られた.

Report

(4 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (36 results)

All 2009 2008 2007 2006

All Journal Article (20 results) (of which Peer Reviewed: 14 results) Presentation (16 results)

  • [Journal Article] Robust Performance Analysis of Uncertain LTI Systems: Dual LMI Approach and Verifications for Exactness2009

    • Author(s)
      Y. Ebihara, Y. Onishi and T. Hagiwara
    • Journal Title

      IEEE Transactions on Automatic Control, Special Issue on "Positive Polynomials in Control," Vol. 54, No. 5

      Pages: 938-951

    • NAID

      120002086027

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Robust Performance Analysis of Uncertain LTI Systems : Dual LMI Approach and Verifications for Exactness2009

    • Author(s)
      Y. Ebihara, Y. Onishi and T. Hagiwara
    • Journal Title

      IEEE Transactions on Automatic Control 5(予定)

      Pages: 14-14

    • NAID

      120002086027

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Exactness Proof of (D,G) Scaling2008

    • Author(s)
      Y. Ebihara
    • Journal Title

      SICE Journal of Control, Measurement, and System Integration Vol. 1, No. 6

      Pages: 474-478

    • NAID

      10024488748

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] On H-infinity Model Reduction for Discrete-Time LTI Systems Using LMIs2008

    • Author(s)
      Y. Ebihara, Y. Hirai and T. Hagiwara
    • Journal Title

      Asian Journal of Control Vol. 10, No. 3

      Pages: 291-300

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Computing the Distance to Uncontrollability via LMIs: Lower Bound Computation with Exactness Verification2008

    • Author(s)
      Y. Ebihara
    • Journal Title

      Systems and Control Letters Vol. 57, No. 9

      Pages: 763-771

    • NAID

      120001587280

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Generalized S-procedure for Inequality Conditions on One-Vector-Lossless Sets and Linear System Analysis2008

    • Author(s)
      Y. Ebihara, K. Maeda and T. Hagiwara
    • Journal Title

      SIAM Journal on Control and Optimization Vol. 47, No. 3

      Pages: 1547-1555

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the Exactness Proof of (D, G) Scaling2008

    • Author(s)
      Y. Ebihara
    • Journal Title

      SICE Journal of Control, Measurement, and System Integration 1

      Pages: 474-478

    • NAID

      10024488748

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On H-infiuity Model Reduction for Discrete-Time LTI Systems Using LMIs2008

    • Author(s)
      蛯原義雄・平井義人・萩原朋道
    • Journal Title

      Asian Journal of Control (掲載確定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized S-procedure for Inequality Conditions on One-Vector-Lossless Sets and Linear System Analysis2008

    • Author(s)
      蛯原義雄・前田雄俊・萩原朋道
    • Journal Title

      SIAM Journal on Control and Optimization (掲載確定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Computing the Distance to Uncontrollability via LMIs: Lower Bound Computation with Exactness Verification2008

    • Author(s)
      蛯原義雄
    • Journal Title

      Systems and Control Letters (掲載確定)

    • NAID

      120001587280

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Exact Stability Analysis of 2-D Systems Using LMIs2006

    • Author(s)
      Y. Ebihara, Y. Ito and T. Hagiwara
    • Journal Title

      IEEE Transactions on Automatic Control Vol. 51, No. 9

      Pages: 1509-1513

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the Degree of Polynomial Parameter-Dependent Lyapunov Functions for Robust Stability of Single Parameter-Dependent LTI Systems : A Counter-example to Barmish's Conjecture2006

    • Author(s)
      Y. Ebihara and T. Hagiwara
    • Journal Title

      Automatica Vol. 42, No. 9

      Pages: 1599-1603

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] H∞状態フィードバック設計のための冗長なディスクリプタアプローチ : 伸張型 LMI に基づく既存結果の拡張2006

    • Author(s)
      川田昌克,蛯原義雄,陳幹
    • Journal Title

      計測自動制御学会論文集 Vol. 42, No. 7

      Pages: 750-757

    • NAID

      130003971593

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] 多項式型パラメータ依存 Lyapunov 関数を用いた不確かな線形時不変系のロバストH∞性能解析2006

    • Author(s)
      平井義人,蛯原義雄,萩原朋道
    • Journal Title

      計測自動制御学会論文集 Vol. 42, No. 6

      Pages: 618-627

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the degree of polynomial parameter-dependent Lyapunov functions for robust stability of single parameter-dependent LTI systems : A counter-example to Barmish's conjecture2006

    • Author(s)
      蛯原義雄, 萩原朋道
    • Journal Title

      AUTOMATICA 42・9

      Pages: 5-5

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Exact stability analysis of 2-D Systems Using LMIs2006

    • Author(s)
      蛯原義雄, 伊藤義道, 萩原朋道
    • Journal Title

      IEEE Transactions on Automatic Control 51・9

      Pages: 5-5

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 多項式型パラメータ依存Lyapunov関数を用いた不確かな線形時不変系のロバストH∞性能解析2006

    • Author(s)
      平井義人, 蛯原義雄, 萩原朋道
    • Journal Title

      計測自動制御学会論文集 42・6

      Pages: 10-10

    • Related Report
      2006 Annual Research Report
  • [Journal Article] H∞状態フィードバック設計のための冗長なディスクリプタアプローチ:伸張型LMIに基づく既存結果の拡張2006

    • Author(s)
      川田昌克, 蛯原義雄, 陳幹
    • Journal Title

      計測自動制御学会論文集 42・7

      Pages: 8-8

    • NAID

      130003971593

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Robust H2 performance analysis of uncertain LTI systems via polynomially parameter-dependent Lyapunov functions2006

    • Author(s)
      蛯原義雄, Dimitri Peaucelle, Denis Arzelier, 萩原朋道
    • Journal Title

      Proceedings of the IFAC Robust Control Design

      Pages: 6-6

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Computing the distance to uncontrollability via LMIs : Lower and upper bounds computations and verifications for exactness2006

    • Author(s)
      蛯原義雄, 萩原朋道
    • Journal Title

      Proceeding of the 45th IEEE Conference on Decision and Control

      Pages: 6-6

    • Related Report
      2006 Annual Research Report
  • [Presentation] Periodically Time-Varying Dynamical Controller Synthesis for Polytopic-Type Uncertain Discrete-Time Linear Systems2008

    • Author(s)
      Y. Ebihara, D. Peaucelle and D. Arzelier
    • Organizer
      Proc. Of the 47th IEEE Conference on Decision and Control
    • Place of Presentation
      Cancun, Mexico
    • Year and Date
      2008-12-11
    • Related Report
      2008 Final Research Report
  • [Presentation] Periodically Time-Varying Dynamical Controller Synthesis for Polytopic-Type Uncertain Discrete-Time Linear Systems2008

    • Author(s)
      Y. Ebihara
    • Organizer
      The 47th IEEE Conference on Decision and Control
    • Place of Presentation
      Cancun, Mexico
    • Year and Date
      2008-12-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] Extracting Worst Case Perturbations for Robustness Analysis of Parameter-Dependent LTI Systems2008

    • Author(s)
      Y. Onishi, Y. Ebihara and T. Hagiwara
    • Organizer
      Proc. Of the 17th IFAC World Congress
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2008-07-10
    • Related Report
      2008 Final Research Report
  • [Presentation] LMI-based Periodically Time-Varying Dynamical Controller Synthesis for Discrete-Time Uncertain Linear Systems2008

    • Author(s)
      Y. Ebihara, D. Peaucelle and D. Arzelier
    • Organizer
      Proc. Of the 17th IFAC World Congress
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2008-07-07
    • Related Report
      2008 Final Research Report
  • [Presentation] Robust H2 Performance of Discrete-Time Periodic Systems : LMIs with Reduced Dimensions2008

    • Author(s)
      D. Peaucelle, Y. Ebihara and D. Arzelier
    • Organizer
      Proc. Of the 17th IFAC World Congress
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2008-07-07
    • Related Report
      2008 Final Research Report
  • [Presentation] Extracting Worst Case Perturbations for Robustness Analysis of Parameter-Dependent LTI Systems2008

    • Author(s)
      Y. Ebihara
    • Organizer
      The 17th IFAC World Congress
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2008-07-07
    • Related Report
      2008 Annual Research Report
  • [Presentation] LMI-based Periodically Time-Varying Dynamical Controller Synthesis for Discrete-Time Uncertain Linear Systems2008

    • Author(s)
      Y. Ebihara
    • Organizer
      The 17th IFAC World Congress
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2008-07-07
    • Related Report
      2008 Annual Research Report
  • [Presentation] Robust Performance Analysis of Uncertain LTI Systems: Dual LMI Approach and Verifications for Exactness2007

    • Author(s)
      Y. Ebihara, Y. Onishi and T. Hagiwara
    • Organizer
      Proc. Of the 46th IEEE Conference on Decision and Control
    • Place of Presentation
      New Orleans, USA
    • Year and Date
      2007-12-14
    • Related Report
      2008 Final Research Report
  • [Presentation] Robust Performance Analysis of Uncertain Linear Systems: Dual LMI Approach and Verifications for Exactness2007

    • Author(s)
      蛯原義雄・萩原朋道
    • Organizer
      IEEE Conference on Decision and Control
    • Place of Presentation
      New Orleans, USA
    • Year and Date
      2007-12-14
    • Related Report
      2007 Annual Research Report
  • [Presentation] Further Results on Computing the Distance to Uncontrollability via LMIs2007

    • Author(s)
      Y. Ebihara and T. Hagiwara
    • Organizer
      Proc. Of the American Control Conference
    • Place of Presentation
      New York, USA
    • Year and Date
      2007-07-13
    • Related Report
      2008 Final Research Report
  • [Presentation] Further Results on Computing the Distance to Uncontrollability via LMIs2007

    • Author(s)
      蛯原義雄・萩原朋道
    • Organizer
      American Control Conference
    • Place of Presentation
      New York, USA
    • Year and Date
      2007-07-13
    • Related Report
      2007 Annual Research Report
  • [Presentation] Computing the Distance to Uncontrollability via LMIs: Lower and Upper Bounds Computation and Exactness Verification2006

    • Author(s)
      Y. Ebihara and T. Hagiwara
    • Organizer
      Proc. Of the 45th IEEE Conference on Decision and Control
    • Place of Presentation
      San Diego, USA
    • Year and Date
      2006-12-15
    • Related Report
      2008 Final Research Report
  • [Presentation] On the Degree of Polynomial Parameter-Dependent Lyapunov Functions for Robust Stability of Single Parameter-Dependent LTI Systems : A Counter-example to Barmish's Conjecture2006

    • Author(s)
      Y. Ebihara and T. Hagiwara
    • Organizer
      Proc. Of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS2006)
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2006-07-28
    • Related Report
      2008 Final Research Report
  • [Presentation] General Polynomial Parameter-Dependent Lyapunov Functions for Polytopic Uncertain Systems2006

    • Author(s)
      D. Peaucelle, Y. Ebihara, D. Arzelier and T. Hagiwara
    • Organizer
      Proc. Of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS2006)
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2006-07-27
    • Related Report
      2008 Final Research Report
  • [Presentation] On H-infinity Model Reduction for Discrete-Time LTI Systems Using LMIs2006

    • Author(s)
      Y. Ebihara, Y. Hirai and T. Hagiwara
    • Organizer
      Proc. Of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS2006)
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2006-07-24
    • Related Report
      2008 Final Research Report
  • [Presentation] Robust H2 Performance Analysis of Uncertain LTI Systems via Polynomially Parameter-Dependent Lyapunov Functions2006

    • Author(s)
      Y. Ebihara, D. Peaucelle, D. Arzelier and T. Hagiwara
    • Organizer
      Proc. Of IFAC Robust Control Design (ROCOND 2006)
    • Place of Presentation
      Toulouse, France
    • Year and Date
      2006-07-07
    • Related Report
      2008 Final Research Report

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Published: 2006-04-01   Modified: 2016-04-21  

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