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A Study on Stabilization for uncertain switched linear systems

Research Project

Project/Area Number 22560453
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

OTSUKA Naohisa  東京電機大学, 理工学部, 教授 (30185318)

Research Collaborator KEYLAN Alimhan  東京電機大学, 理工学部, 研究員
Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords制御理論 / システム理論 / 切り替えシステム / 不確かさをもつシステム / 二次安定化 / 切り替えオブザーバ / 外乱除去 / 不変部分空間 / 安定性 / 不確かさ / 外乱除去問題 / 非線形システム
Research Abstract

In this study, quadratic stabilization problems for polytopic uncertain switched linear systems were investigated and their solvability conditions were presented. Next, under certain assumptions, necessary and sufficient conditions for the same switched linear systems to be asymptotically stable were presented. Further, two disturbance decoupling problems without stability and with stability via state feedback for polytopic uncertain switched linear systems were formulatedand their solvability conditions were presented. Moreover, a practical output tracking control problem for some nonlinear system whose linearization at the origin may fail was investigated

Report

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

    (40 results)

All 2014 2013 2012 2011 Other

All Journal Article (12 results) (of which Peer Reviewed: 12 results) Presentation (28 results)

  • [Journal Article] Quadratic Stablizability for Polytopic Uncertain Switched Linear Systems via Switched Observer2014

    • Author(s)
      T.Soga and N. Otsuka
    • Journal Title

      Asian Journal of Control

      Volume: 16

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stabilizability Conditions for Switched Linear Systems with Constant Input via Switched Observer2013

    • Author(s)
      T.Soga and N. Otsuka
    • Journal Title

      Studies in Informatics and Control

      Volume: Vol.22, No.1 Pages: 7-14

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Further Study of Practical Output Tracking of Nonlinear Systems2013

    • Author(s)
      K. Alimhan and N. Otsuka
    • Journal Title

      Far East Journal of Mathematical Sciences

      Volume: undecided

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stability Conditions ofPolytopic Uncertain Switched Linear Systems with Simultaneously Diagonalizable Vertex Matrices2011

    • Author(s)
      N. Otsuka, K. Nakashima and T.Atajan
    • Journal Title

      Far East Journal of Dynamical Systems

      Volume: Vol.15, Issue.1 Pages: 1-20

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stability Conditions of Polytopic Uncertain Switched Linear Systems with Simultaneously Diagonalizable Vertex Matrices2011

    • Author(s)
      N.Otsuka
    • Journal Title

      Far East Journal of Dynamical Systems

      Volume: 15 Pages: 1-20

    • Related Report
      2011 Annual Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quadratic Stabilizability for Polytopic Uncertain Continuous-Time Switched Linear Systems via Switched Output Feedback2011

    • Author(s)
      T.Soga
    • Journal Title

      Proc.of 19th Mediterranean Conference on Control and Automation

      Pages: 724-729

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Disturbance Decoupling via Dynamic Output Feedback for Switched Linear Systems2011

    • Author(s)
      N.Otsuka
    • Journal Title

      Proc.of 18th IFAC World Congress b'11

      Pages: 4076-4081

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Note on Practically Output Tracking Control of Nonlinear Systems that May Not be Linearizable at the Origin2011

    • Author(s)
      K.Alimhan
    • Journal Title

      Proc.of 2011 International Conference on Control and Automation (Communications in Computer and Information Science 256, Control and Automation, and Energy System Engineering, Springer-Verlag)

      Pages: 17-25

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quadratic Stabilizability for Polytopic Uncertain Continuous-Time Switched Linear Systems via Switched Output Feedback2011

    • Author(s)
      T.Soga
    • Journal Title

      19th Mediterranean Conference on Control and Automation(MED'11)

      Volume: (to appear)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Disturbance Decoupling via Dynamic Output Feedback for Switched Linear Systems2011

    • Author(s)
      N.Otsuka
    • Journal Title

      18^<th> World Congress of the International Federation of Automatic Control (IFAC)

      Volume: (to appear)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quadratic Stablizability for Polytopic Uncertain Switched Linear Systems via Switched Observer

    • Author(s)
      T.Soga and N. Otsuka
    • Journal Title

      Asian Journal of Control, Wiley

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Further Study of Practical Output Tracking of Nonlinear Systems

    • Author(s)
      Asian Journal of Control, Wiley, to appear.
    • Journal Title

      Far East Journal of Mathematical Sciences

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Presentation] Stabilization for Polytopic Uncertain Switched Linear Systems with Constant Input2013

    • Author(s)
      T. Soga, N. Otsuka, G. Nakayama and A Tojo
    • Organizer
      Proc. of the 9-th Asian Control Conference
    • Place of Presentation
      Istanbul,Turkey
    • Related Report
      2012 Final Research Report
  • [Presentation] 不確かさをもつ定数入力連続時間線形切り替えシステムの状態フィードバックによる安定化2013

    • Author(s)
      曽我拓哉,東條晃大,大塚尚久
    • Organizer
      第45回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Final Research Report
  • [Presentation] 不確かさをもつ定数入力連続時間線形切り替えシステムの切り替えオブザーバによる安定化2013

    • Author(s)
      中山玄輝,曽我拓哉,大塚尚久
    • Organizer
      第45回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Final Research Report
  • [Presentation] 不確かな離散時間Positive線形システムに対する区間Positiveオブザーバの設計2013

    • Author(s)
      川久保理,大塚尚久
    • Organizer
      第45回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Final Research Report
  • [Presentation] Stabilization for Polytopic Uncertain Switched Linear Systems with Constant Input2013

    • Author(s)
      N. Otsuka
    • Organizer
      The 9-th Asian Control Conference (ASCC'13)
    • Place of Presentation
      Istanbul(Turkey)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 不確かさをもつ線形切り替えシステムの安定性を伴う外乱除去2013

    • Author(s)
      大塚尚久
    • Organizer
      第45回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 不確かさをもつ定数入力連続時間線形切り替えシステムの状態フィードバックによる安定化2013

    • Author(s)
      大塚尚久
    • Organizer
      第45回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 不確かさをもつ定数入力連続時間線形切り替えシステムの切り替えオブザーバによる安定化2013

    • Author(s)
      大塚尚久
    • Organizer
      第45回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 不確かな離散時間Positive線形システムに対する区間Positiveオブザーバの設計2013

    • Author(s)
      大塚尚久
    • Organizer
      第45回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 不確かさをもつ線形切り替えシステムの安定性を伴う外乱除去2012

    • Author(s)
      齋藤広毅,大塚尚久
    • Organizer
      第45回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Final Research Report
  • [Presentation] Stabilization for Switched Linear Systems with Constant Input via Switched Observer2012

    • Author(s)
      T. Soga and N. Otsuka
    • Organizer
      Proc. of 2012 International Conference on Control and Automation: ASTL Proceeding
    • Place of Presentation
      Jeju, Korea
    • Related Report
      2012 Final Research Report
  • [Presentation] A New Result on Practically Output Tracking Control of Nonlinear Systems That May Not Be Linearizable at the Origin2012

    • Author(s)
      K. Alimhan and N. Otsuka:
    • Organizer
      Proc. of the 8thIEEE International Symposium on Instrumentation and Control Technology
    • Place of Presentation
      London, UK
    • Related Report
      2012 Final Research Report
  • [Presentation] Disturbance Decoupling with Quadratic Stability for Polytopic Uncertain Switched Linear Systems2012

    • Author(s)
      N. Otsuka and H. Saito:
    • Organizer
      Proc. of the 7th IFAC Symposium on Robust Control Design
    • Place of Presentation
      Aalborg, Denmark
    • Related Report
      2012 Final Research Report
  • [Presentation] 不確かなパラメータを含むPositive線形切り替えシステムの安定化について2012

    • Author(s)
      酒井 翔,大塚尚久
    • Organizer
      第44回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] ポリトープ的不確かさをもつ線形切り替えシステムの外乱除去2012

    • Author(s)
      大塚尚久,齋藤広毅
    • Organizer
      第44回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] 定数入力のある連続時間線形切り替えシステムの切り替えオブザーバによる安定化について2012

    • Author(s)
      曽我拓哉,大塚尚久
    • Organizer
      第44回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] Disturbance Decoupling with Quadratic Stability for Polytopic Uncertain Switched Linear Systems2012

    • Author(s)
      N. Otsuka
    • Organizer
      The 7th IFAC Symposium on Robust Control Design (ROCOND’12)
    • Place of Presentation
      Aalborg(Denmark)
    • Related Report
      2012 Annual Research Report
  • [Presentation] A New Result on Practically Output Tracking Control of Nonlinear Systems That May Not Be Linearizable at the Origin2012

    • Author(s)
      N. Otsuka
    • Organizer
      the 8th IEEE International Symposium on Instrumentation and Control Technology (ISICT2012 )
    • Place of Presentation
      London(UK)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Stabilization for Switched Linear Systems with Constant Input via Switched Observer2012

    • Author(s)
      N. Otsuka
    • Organizer
      2012 International Conference on Control and Automation (CA 2012)
    • Place of Presentation
      Jeju(Korea)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Practical output tracking control for nonlinear systems that may not be linearizable at the origin2011

    • Author(s)
      K.Alimhan
    • Organizer
      第11回計測自動制御学会制御部門大会
    • Place of Presentation
      沖縄 琉球大学
    • Year and Date
      2011-03-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] 連続時間線形切り替えシステムの切り替えオブザーバによる2次安定化について2011

    • Author(s)
      曽我拓哉
    • Organizer
      第43回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道 北海道大学
    • Year and Date
      2011-03-01
    • Related Report
      2010 Annual Research Report
  • [Presentation] 連続時間Positive線形切り替えシステムの安定化について2011

    • Author(s)
      酒井翔
    • Organizer
      第43回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道 北海道大学
    • Year and Date
      2011-03-01
    • Related Report
      2010 Annual Research Report
  • [Presentation] A Note on Practically Output Tracking Control of Nonlinear Systems that May Not be Linearizable at the Origin2011

    • Author(s)
      K. Alimhan and N. Otsuka
    • Organizer
      Communications in Computer and Information Science 256, Control and Automation, and Energy System Engineering
    • Place of Presentation
      Springer- Verlag
    • Related Report
      2012 Final Research Report
  • [Presentation] Disturbance Decoupling via Dynamic Output Feedback for Switched Linear Systems2011

    • Author(s)
      N. Otsuka
    • Organizer
      Proc. of the 18 th IFAC World Congress
    • Place of Presentation
      Milano, Italy
    • Related Report
      2012 Final Research Report
  • [Presentation] Quadratic Stabilizability for Polytopic Uncertain Continuous-Time Switched Linear Systems via Switched Observer2011

    • Author(s)
      T. Soga and N. Otsuka
    • Organizer
      Proc. of the IEEE 19th Mediterranean Conference on Control and Automation
    • Place of Presentation
      Corfu, Greece
    • Related Report
      2012 Final Research Report
  • [Presentation] ractical output tracking control for nonlinear systems that may not be linearizable at the origin2011

    • Author(s)
      K. Alimhan and N. Otsuka
    • Organizer
      第11回計測自動制御学会制御部門大会
    • Place of Presentation
      琉球大学
    • Related Report
      2012 Final Research Report
  • [Presentation] 連続時間Positive線形切り替えシステムの安定化について2011

    • Author(s)
      酒井 翔,大塚尚久,曽我拓哉
    • Organizer
      第43回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Final Research Report
  • [Presentation] 連続時間線形切り替えシステムの切り替えオブザーバによる2次安定化について2011

    • Author(s)
      曽我拓哉,大塚尚久
    • Organizer
      第43回計測自動制御学会北海道支部学術講演会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Final Research Report

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Published: 2010-11-30   Modified: 2019-07-29  

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