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Exact Solution Method for Robust Semidefinite Programming Problemsand Its Application to Control System Synthesis

Research Project

Project/Area Number 21760328
Research Category

Grant-in-Aid for Young Scientists (B)

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

Principal Investigator

EBIHARA Yoshio  京都大学, 大学院・工学研究科, 准教授 (80346080)

Project Period (FY) 2009 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywordsロバスト半正定値計画 / 制御系解析・設計 / 厳密解法 / 半正定値計画問題 / 線形計画問題 / システム解析 / システム設計 / 非負システム / 周期時変制御器設計 / ロバスト半正値計画
Research Abstract

In this study we dealt with robust semidefinite programming problems (robust SDPs) that naturally appear when we analyze robust performance of control systems affected by parametric uncertainties. For the robust SDPs, we successfully constructed a sequence of SDPs that is ensured to be asymptotically exact. On the other hand, to achieve better robust performance for uncertain discrete-time systems, we conceived a novel memory-type periodically time-varying controller structure and established a concrete way to design such controllers by means of SDPs. Dr. Yoshio Ebihara received SICE Annual Conference International Award for his paper dealing with robust performance analysis of uncertain discrete-time systems.

Report

(5 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (50 results)

All 2013 2012 2011 2010 2009

All Journal Article (15 results) (of which Peer Reviewed: 15 results) Presentation (33 results) Book (2 results)

  • [Journal Article] Periodic Memory State-feedback Controller: New Formulation, Analysis and Design Results2013

    • Author(s)
      J.F. Tregouet, D. Peaucelle, D. Arzelier and Y. Ebihara
    • Journal Title

      IEEE Transactions on Automatic Control

      Pages: 14-14

    • URL

      http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6475980&tag=1

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Periodically Time-Varying Memory State-Feedback for Robust H2 Control of Uncertain Discrete-Time Linear Systems2013

    • Author(s)
      Y. Ebihara
    • Journal Title

      Asian Journal of Control

      Volume: Vol. 15, No. 2 Pages: 409-419

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] LMIを用いた離散時間非負システムの安定性とH-infinity性能解析2013

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

      システム制御情報学会論文誌

      Volume: Vol. 26, No. 1 Pages: 45-51

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lower Bound Analysis of H-infinity Performance Achievable via Decentralized LTI Controllers2013

    • Author(s)
      Y. Ebihara
    • Journal Title

      International Journal of Robust and Nonlinear Control

      Volume: 未定 Issue: 16 Pages: 15-15

    • DOI

      10.1002/rnc.2999

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Periodic Memory State-Feedback Controller: New formulation, Analysis and Design Results2013

    • Author(s)
      J.F. Tregouet
    • Journal Title

      IEEE Transactions on Automatic Control

      Volume: 未定 Issue: 8 Pages: 14-14

    • DOI

      10.1109/tac.2013.2251820

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] LMIを用いた離散時間非負システムの安定性とH∞性能解析2013

    • Author(s)
      松村大気
    • Journal Title

      システム制御情報学会論文誌

      Volume: Vol. 26, No. 1 Pages: 45-51

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Periodically Time-Varying Controller Synthesis for Multiobjective H2/H-infinity Control of Discrete-Time Systems and Analysis of Achievable Performance2011

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

      Systems and Control Letters

      Volume: Vol. 60, No. 9 Pages: 709-717

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Periodically Time-Varying Memory State-Feedback ControllerSynthesis for Discrete-Time Linear Systems2011

    • Author(s)
      Y. Ebihara, D. Peaucelle and D. Arzelier
    • Journal Title

      Automatica

      Volume: Vol. 47, No. 1 Pages: 14-25

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Periodically Time-Varying Controller Synthesis for Multiobjective H2/H-infinity Control of Discrete-Time Systems and Analysis of Achievable Performance2011

    • Author(s)
      Y.Ebihara, J.Yamaguchi, T.Hagiwara
    • Journal Title

      Systems and Control Letters

      Volume: Vol.60 Issue: 9 Pages: 709-717

    • DOI

      10.1016/j.sysconle.2011.05.008

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Periodically Time-Varying Memory State-Feedback Controller Synthesis for Discrete-Time Linear Systems2011

    • Author(s)
      Y.Ebihara, D.Peaucelle, D.Arzelier
    • Journal Title

      Automatica

      Volume: Vol.47 Pages: 14-25

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of Uncertain Discrete-Time Linear Periodic Systemsbased on System Lifting and LMIs2010

    • Author(s)
      Y. Ebihara, D. Peaucelle and D. Arzelier
    • Journal Title

      European Journal of Control

      Volume: Vol. 16, No. 5 Pages: 532-544

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 単一の不確定パラメータを有する線形時不変系のロバスト H∞性能解析-双対 LMI に基づく緩和問題の漸近的に厳密な階層的構成と非漸近的な厳密性検証-2010

    • Author(s)
      松田雄介,田原雅人, 蛯原義雄,萩原朋道
    • Journal Title

      システム制御情報学会論文誌

      Volume: Vol. 23, No. 3 Pages: 46-55

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of Uncertain Discrete-Time Linear Periodic Systems based on System Lifting and LMIs2010

    • Author(s)
      Y.Ebihara, D.Peaucelle, D.Arzelier
    • Journal Title

      European Journal of Control

      Volume: Vol.16 Pages: 532-544

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 単一の不確定パラメータを有する線形時不変系のロバストH_∝性能解析:双対LMIに基づく緩和問題の漸近的に厳密な階層的構成と非漸近的な厳密性検証2010

    • Author(s)
      松田雄介, 田原雅人, 蛯原義雄, 萩原朋道
    • Journal Title

      システム制御情報学会論文誌 Vol.23

      Pages: 46-55

    • NAID

      10026495704

    • Related Report
      2009 Annual 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, Special Issue on Positive Polynomials in Control

      Volume: Vol. 54, No. 5 Pages: 938-951

    • NAID

      120002086027

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Presentation] Stability and Persistence Analysis of Large Scale InterconnectedPositive Systems2013

    • Author(s)
      Y. Ebihara, D. Peaucelle and D. Arzelier
    • Organizer
      Proc. of the European Control Conference
    • Place of Presentation
      Zurich, Switzerland
    • Year and Date
      2013-07-19
    • Related Report
      2012 Final Research Report
  • [Presentation] Stability and Persistence Analysis of Large Scale Interconnected Positive Systems2013

    • Author(s)
      Y. Ebihara
    • Organizer
      European Control Conference
    • Place of Presentation
      Zurich, Switzerland
    • Related Report
      2012 Annual Research Report
  • [Presentation] Robust H-infinity Performance of Periodic Systems with Memory: New Formulations, Analysis and Design Results2012

    • Author(s)
      J.F. Tregouet, D. Arzelier, D. Peaucelle, Y. Ebihara, C. Pittet and A. Falcoz
    • Organizer
      Proc. of the 51th IEEE Conference on Decision and Control
    • Place of Presentation
      Maui, Hawaii, USA
    • Year and Date
      2012-12-13
    • Related Report
      2012 Final Research Report
  • [Presentation] Decentralized Control ofInterconnected Positive Systems Using L1-induced Norm Characterization2012

    • Author(s)
      Y. Ebihara, D. Peaucelle and D. Arzelier
    • Organizer
      Proc.of the 51th IEEE Conference on Decision and Control
    • Place of Presentation
      Maui, Hawaii, USA
    • Year and Date
      2012-12-13
    • Related Report
      2012 Final Research Report
  • [Presentation] Dual LMI Approach to Linear Positive System Analysis2012

    • Author(s)
      Y. Ebihara
    • Organizer
      Proc. of 12th International Conference on Control, Automation and Systems (ICCAS 2012)
    • Place of Presentation
      Jeju, Korea
    • Year and Date
      2012-10-18
    • Related Report
      2012 Final Research Report
  • [Presentation] Optimal L1-Controller Synthesis for Positive Systems and Its Robustness Properties2012

    • Author(s)
      Y. Ebihara, D. Peaucelle and D. Arzelier
    • Organizer
      Proc. of the American Control Conference
    • Place of Presentation
      Montreal, Canada
    • Year and Date
      2012-06-29
    • Related Report
      2012 Final Research Report
  • [Presentation] Robust Stability of Periodic Systems with Memory: New Formulations, Analysis and Design Results2012

    • Author(s)
      J.F. Tregouet, Y. Ebihara, D. Arzelier, D. Peaucelle, C. Pittet and A. Falcoz
    • Organizer
      Proc. of the 7th IFAC Symposium on Robust Control Design
    • Place of Presentation
      Aalborg, Denmark
    • Year and Date
      2012-06-22
    • Related Report
      2012 Final Research Report
  • [Presentation] Decentralized Control of Interconnected Positive Systems Using L1-induced Norm Characterization2012

    • Author(s)
      Y. Ebihara
    • Organizer
      The 51th IEEE Conference on Decision and Control
    • Place of Presentation
      Maui, Hawaii
    • Related Report
      2012 Annual Research Report
  • [Presentation] Robust H-infinity Performance of Periodic Systems with Memory: New Formulations, Analysis and Design Results2012

    • Author(s)
      J.F. Tregouet
    • Organizer
      The 51th IEEE Conference on Decision and Control
    • Place of Presentation
      Maui, Hawaii, USA
    • Related Report
      2012 Annual Research Report
  • [Presentation] Dual LMI Approach to Linear Positive System Analysis2012

    • Author(s)
      Y. Ebihara
    • Organizer
      The 12th International Conference on Control, Automation and Systems
    • Place of Presentation
      Jeju, Korea
    • Related Report
      2012 Annual Research Report
  • [Presentation] Optimal L1-Controller Synthesis for Positive Systems and Its Robustness Properties2012

    • Author(s)
      Y. Ebihara
    • Organizer
      2012 American Control Conference
    • Place of Presentation
      Montreal, Quebec, Canada
    • Related Report
      2012 Annual Research Report
  • [Presentation] Robust Stability of Periodic Systems with Memory: New Formulations, Analysis and Design Results2012

    • Author(s)
      J.F. Tretouet
    • Organizer
      The 7th IFAC Symposium on Robust Control Design
    • Place of Presentation
      Aalborg, Denmark
    • Related Report
      2012 Annual Research Report
  • [Presentation] Periodic H2 Synthesis for Spacecraft Attitude Control with Magnetorquers and Reaction Wheels2011

    • Author(s)
      J.F. Tregouet, D. Arzelier, D. Peaucelle,Y. Ebihara, C. Pittet and A. Falcoz
    • Organizer
      Proc. of the 50th IEEE Conference on Decision and Control
    • Place of Presentation
      Orlando, Florida, USA
    • Year and Date
      2011-12-15
    • Related Report
      2012 Final Research Report
  • [Presentation] Periodic H2 synthesis for spacecraft attitude control with magnetorquers and reaction wheels2011

    • Author(s)
      J.F.Tregouet, D.Arzelier, D.Peaucelle, Y.Ebihara, C.Pittet, A.Falcoz
    • Organizer
      Decision and Control and European Control Conierence (CDC-ECC), 2011 50th IEEE Conference on
    • Place of Presentation
      Orlando, USA
    • Year and Date
      2011-12-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] L1 Gain Analysis of Linear Positive Systems and Its Application2011

    • Author(s)
      Y. Ebihara, D. Peaucelle and D. Arzelier
    • Organizer
      Proc.of the 50th IEEE Conference on Decision and Control
    • Place of Presentation
      Orlando, Florida, USA
    • Year and Date
      2011-12-13
    • Related Report
      2012 Final Research Report
  • [Presentation] L1 gain analysis of linear positive systems and its application2011

    • Author(s)
      Y.Ebihara, D.Peaucelle, D.Arzelier
    • Organizer
      Decision and Control and European Control Conlerence (CDC-ECC), 2011 50th IEEE Conference on
    • Place of Presentation
      Orlando, USA
    • Year and Date
      2011-12-13
    • Related Report
      2011 Annual Research Report
  • [Presentation] Periodic FIR Controller Synthesis for Discrete-Time Uncertain Linear Systems2011

    • Author(s)
      J.F. Tregouet, D. Arzelier, D. Peaucelle,Y. Ebihara, C. Pittet and A. Falcoz
    • Organizer
      Proc. of the 50th IEEE Conference on Decision and Control
    • Place of Presentation
      Orlando, Florida, USA
    • Year and Date
      2011-12-12
    • Related Report
      2012 Final Research Report
  • [Presentation] Periodic FIR controller synthesis for discrete-time uncertain linear systems2011

    • Author(s)
      J.F.Tregouet, D.Arzelier, D.Peacelle, Y.Ebihara, C.Pittet, A.Falcoz
    • Organizer
      Decision and Control and European Control Conlerence (CDC-ECC), 2011 50th IEEE Conference on
    • Place of Presentation
      Orlando, USA
    • Year and Date
      2011-12-12
    • Related Report
      2011 Annual Research Report
  • [Presentation] Some Conditions for Convexifying Static H-infinity Control Problems2011

    • Author(s)
      Y. Ebihara, D. Peaucelle and D. Arzelier
    • Organizer
      Proc. of the 18th IFAC World Congress
    • Place of Presentation
      Milano, Italy
    • Year and Date
      2011-08-31
    • Related Report
      2012 Final Research Report
  • [Presentation] Some conditions for convexifying static H-infinity control problems2011

    • Author(s)
      Y.Ebihara, D.Peaucelle, D.Arzelier
    • Organizer
      The 18th IFAC World Congress
    • Place of Presentation
      Milano, Italy
    • Year and Date
      2011-08-31
    • Related Report
      2011 Annual Research Report
  • [Presentation] Asymptotic Exactness of Dual LMI Approach for Robust Performance Analysis of Uncertain LTI Systems2010

    • Author(s)
      Y. Ebihara, Y. Matsuda and T. Hagiwara
    • Organizer
      Proc. of the 49th IEEE Conference on Decision and Control
    • Place of Presentation
      Atlanta, Georgia, USA
    • Year and Date
      2010-12-15
    • Related Report
      2012 Final Research Report
  • [Presentation] Asymptotic Exactness of Dual LMI Approach for Robust Performance Analysis of Uncertain LTI Systems2010

    • Author(s)
      Y.Ebihara
    • Organizer
      The 49th IEEE Conference on Decision and Control
    • Place of Presentation
      Atlanta, Georgia, USA
    • Year and Date
      2010-12-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] Robust H2 Control of Uncertain Discrete-Time Linear Systemswith Periodically Time-Varying Memory State-Feedback2010

    • Author(s)
      Y. Ebihara
    • Organizer
      Proc. of the IEEE Multi Conference on Systems and Control
    • Place of Presentation
      Yokohama, Japan
    • Year and Date
      2010-09-08
    • Related Report
      2012 Final Research Report
  • [Presentation] Robust H2 Control of Uncertain Discrete-Time Linear Systems with Periodically Time-Varying Memory State-Feedback2010

    • Author(s)
      Y.Ebihara
    • Organizer
      IEEE Multi-conference on Systems and Control
    • Place of Presentation
      Yokohama, Japan
    • Year and Date
      2010-09-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Periodically Time-Varying Controller Synthesis for Multiobjective H_2/H-infinity Control of Discrete-Time Systems and Analysis of Achievable Performance2010

    • Author(s)
      Y. Ebihara, J. Yamaguchi and T. Hagiwara
    • Organizer
      Proc. of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS2010)
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2010-07-09
    • Related Report
      2012 Final Research Report
  • [Presentation] Decentralized Control for Discrete-Time LTI Systems:Lower Bound Analysis of H-infinity Performance Achievable via LTI Controllers2010

    • Author(s)
      Y. Ebihara and N. Sebe
    • Organizer
      Proc. of the American Control Conference
    • Place of Presentation
      Baltimore, Maryland, USA
    • Year and Date
      2010-07-02
    • Related Report
      2012 Final Research Report
  • [Presentation] 半正定値計画に基づく制御系のロバスト性解析・ロバスト設計2010

    • Author(s)
      蛯原義雄
    • Organizer
      第2回日本数式処理学会理論分科会研究会
    • Place of Presentation
      クロスパル新潟
    • Year and Date
      2010-02-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Constructing a Sequence of Relaxation Problems for Robustness Analysis of Uncertain LTI Systems via Dual LMIs2009

    • Author(s)
      Y. Matsuda, Y. Ebihara and T. Hagiwara
    • Organizer
      Proc.of the 48th IEEE Conference on Decision and Control
    • Place of Presentation
      Shanghai, China
    • Year and Date
      2009-12-16
    • Related Report
      2012 Final Research Report
  • [Presentation] Further Results on Periodically Time-Varying Dynamical State-Feedback Controller Synthesis for Discrete-Time Linear Systems2009

    • Author(s)
      Y. Ebihara, Y. Kuboyama, T. Hagiwara, D. Peaucelle and D. Arzelier
    • Organizer
      Proc. of the 48th IEEE Conference on Decision and Control
    • Place of Presentation
      Shanghai, China
    • Year and Date
      2009-12-16
    • Related Report
      2012 Final Research Report
  • [Presentation] Constructing a Sequence of Relaxation Problems for Robustness Analysis of Uncertain LTI Systems via Dual LMIs2009

    • Author(s)
      Y.Ebihara
    • Organizer
      The 48th IEEE Conference on Decision and Control
    • Place of Presentation
      Shanghai, China
    • Year and Date
      2009-12-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Further Results on Periodically Time-Varying Dynamical State-Feedback Controller Synthesis for Discrete-Time Linear Systems2009

    • Author(s)
      Y.Ebihara
    • Organizer
      The 48th IEEE Conference on Decision and Control
    • Place of Presentation
      Shanghai, China
    • Year and Date
      2009-12-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Robustness Analysis of Uncertain Discrete-Time Linear Systemsbased on System Lifting and LMIs2009

    • Author(s)
      Y. Ebihara, D. Peaucelle and D. Arzelier
    • Organizer
      Proc. of the ICROS-SICE International Joint Conference 2009
    • Place of Presentation
      Fukuoka Japan
    • Year and Date
      2009-08-20
    • Related Report
      2012 Final Research Report
  • [Presentation] An Elementary Proof for the Exactness of (D,G) Scaling2009

    • Author(s)
      Y. Ebihara
    • Organizer
      Proc. of the 47th American Control Conference
    • Place of Presentation
      St. Leouis, Missouri, USA
    • Year and Date
      2009-06-11
    • Related Report
      2012 Final Research Report
  • [Book] LMI によるシステム制御2012

    • Author(s)
      蛯原義雄
    • Total Pages
      236
    • Publisher
      森北出版
    • Related Report
      2012 Final Research Report
  • [Book] LMIによるシステム制御2012

    • Author(s)
      蛯原義雄
    • Total Pages
      236
    • Publisher
      森北出版
    • Related Report
      2011 Annual Research Report

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Published: 2009-04-01   Modified: 2019-07-29  

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