• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Enhanced scaling technique for control system analysis/synthesis based on operator theoretic and algebraic approaches

Research Project

Project/Area Number 24560545
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Control engineering
Research InstitutionKyoto University

Principal Investigator

HAGIWARA Tomomichi  京都大学, 工学(系)研究科(研究院), 教授 (70189463)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsサンプル値制御系 / むだ時間系 / compression 作用素 / 高速リフティング / スケーリング / 作用素近似 / 非因果的周期時変スケーリング / compression作用素 / 区分的1次関数近似 / 誘導ノルム解析 / ロバスト安定性 / 無限行列表現 / 微分差分方程式
Outline of Final Research Achievements

This paper aims at an operator theoretic approach to sampled-data and time-delay systems, in which compression operators play a key role especially when we deal with their stability analysis through scaling-based approaches. It studies such operators defined on a space different from those in conventional studies and covers analysis and synthesis problems relevant to essentially bounded signals. For time-delay systems, such a change in the space does not affect the stability definition itself but could be effective in alleviating some numerical issues in the stability analysis. In sampled-data systems, the use of the new space is connected to the upper/lower bounds analysis of the L-infinity induced norm and a relevant synthesis problem, which can be tackled through piecewise constant and piecewise linear approximations of signals. The effectiveness of the discrete-time arguments relevant to the scaling approach is also confirmed through experiments with a real system.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (24 results)

All 2014 2013 2012

All Journal Article (9 results) (of which Peer Reviewed: 9 results) Presentation (15 results)

  • [Journal Article] Quasi-Finite-Rank Approximation of Compression Operators on $L_\infty[0,h)$ with Application to Stability Analysis of Time-Delay Systems2014

    • Author(s)
      J. H. Kim and T. Hagiwara
    • Journal Title

      IET Control Theory & Applications

      Volume: 8 Issue: 2 Pages: 77-85

    • DOI

      10.1049/iet-cta.2013.0458

    • Related Report
      2014 Annual Research Report 2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Computing the L∞[0,h)-induced norm of a compression operator via fast-lifting2014

    • Author(s)
      Jung Hoon Kim, Tomomichi Hagiwara
    • Journal Title

      Systems & Control Letters

      Volume: 67 Pages: 1-8

    • DOI

      10.1016/j.sysconle.2014.01.009

    • Related Report
      2014 Annual Research Report 2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Robust stability analysis based on finite impulse response scaling for discrete-time linear time-invariant systems2013

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

      IET Control Theory & Applications

      Volume: 7 Issue: 11 Pages: 1463-1471

    • DOI

      10.1049/iet-cta.2013.0053

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] 台車型倒立振子制御実験による非因果的周期時変スケーリングに基づくロバスト性能設計の有効性検証2013

    • Author(s)
      片山啓,細江陽平,萩原朋道
    • Journal Title

      システム制御情報学会論文誌

      Volume: 26

    • NAID

      10031192913

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Conversion of Linear Time-Invariant Time-Delay Feedback Systems into Delay-Differential Equations with Commensurate Delays2013

    • Author(s)
      T. Yamazaki and T. Hagiwara
    • Journal Title

      International Journal of Systems Science

      Volume: Vol. 6 Issue: 8 Pages: 1643-1656

    • DOI

      10.1080/00207721.2012.748942

    • NAID

      120005651921

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Unified Treatment of Robust Stability Conditions for Discrete -Time Systems through an Infinite Matrix Framework2013

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

      Automatica

      Volume: Vol. 5

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Robust performance controller synthesis based on discrete-time noncausal linear periodically time-varying scaling2012

    • Author(s)
      Y. Hosoe, T. Hagiwara
    • Journal Title

      Asian Journal of Control

      Volume: 14 Issue: 5 Pages: 1194-1204

    • DOI

      10.1002/asjc.473

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Conversion of Linear Time-Invariant Delay-Differential Equations with External Input and Output into Representation as Time-Delay Feedback Systems2012

    • Author(s)
      T. Yamazaki and T. Hagiwara
    • Journal Title

      SICE Journal on Control, Measurement, and System Integration

      Volume: Vol. 5

    • NAID

      10031140135

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Note on Well-Posedness and Separator-Type Robust Stability Theorem of LTI Systems2012

    • Author(s)
      T. Hagiwara
    • Journal Title

      SICE Journal on Control, Measurement, and System Integration

      Volume: Vol. 5

    • NAID

      10031140131

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Computing the $L_\infty$-Induced Norm of LTI Systems2014

    • Author(s)
      J. H. Kim and T. Hagiwara
    • Organizer
      53rd IEEE Conference on Decision and Control
    • Place of Presentation
      Los Angeles
    • Year and Date
      2014-12-15 – 2014-12-17
    • Related Report
      2014 Annual Research Report
  • [Presentation] Characterization of the Induced Norms from $L_2$ to $L_\infty$ and from $l_2$ to $l_\infty$ and Their Computations2014

    • Author(s)
      J. H. Kim and T. Hagiwara
    • Organizer
      SICE Annual Conference 2014
    • Place of Presentation
      Sapporo
    • Year and Date
      2014-09-09 – 2014-09-12
    • Related Report
      2014 Annual Research Report
  • [Presentation] A Study on Piecewise Linear Approximation in the $L_1$ Optimal Control Problem of Sampled-Data Systems2014

    • Author(s)
      J. H. Kim and T. Hagiwara
    • Organizer
      21st International Symposium on Mathematical Theory of Networks and Systems
    • Place of Presentation
      Groningen, The Netherlands
    • Year and Date
      2014-07-07
    • Related Report
      2014 Annual Research Report
  • [Presentation] A Study on the Spectrum of Monodromy Operator for a Time-Delay System2013

    • Author(s)
      J. H. Kim, T. Hagiwara and K. Hirata
    • Organizer
      Asian Control Conference 2013
    • Place of Presentation
      Military Museum, Istanbul, Turkey
    • Related Report
      2013 Research-status Report
  • [Presentation] A Note on Representation of Nonlinear Time-Varying Delay-Differential Equations as Time-Delay Feedback Systems2013

    • Author(s)
      T. Yamazaki and T. Hagiwara
    • Organizer
      Asian Control Conference 2013
    • Place of Presentation
      Military Museum, Istanbul, Turkey
    • Related Report
      2013 Research-status Report
  • [Presentation] Demonstrating the Effectiveness of Noncausal LPTV Scaling through Control Experiments with Cart Inverted Pendulum2013

    • Author(s)
      K. Katayama, Y. Hosoe and T. Hagiwara
    • Organizer
      5th IFAC International Workshop on Periodic Control Systems
    • Place of Presentation
      University of Caen Basse-Normandie, Cean, France
    • Related Report
      2013 Research-status Report
  • [Presentation] Computing the $L_\infty[0,h)$-Induced Norm of a Compression Operator2013

    • Author(s)
      J. H. Kim and T. Hagiwara
    • Organizer
      2013 European Control Conference
    • Place of Presentation
      ETH Zurich, Zurich, Switzerland
    • Related Report
      2013 Research-status Report
  • [Presentation] Stability Analysis of Time-Delay Systems Based on a Power of the Monodromy Operator2013

    • Author(s)
      Y. Saito and T. Hagiwara
    • Organizer
      2013 European Control Conference
    • Place of Presentation
      ETH Zurich, Zurich, Switzerland
    • Related Report
      2013 Research-status Report
  • [Presentation] L_1 Analysis of Sampled-Data Systems Via Fast-Lifting and Piecewise Linear Approximation2013

    • Author(s)
      J. H. Kim and T. Hagiwara
    • Organizer
      52nd IEEE Conference on Decision and Control
    • Place of Presentation
      Palazzo dei Congressi, Florence, Italy
    • Related Report
      2013 Research-status Report
  • [Presentation] Introducing Integral Compensation into Controller Synthesis Based on Noncausal LPTV Scaling and Control Experiments with Cart Inverted Pendulum2013

    • Author(s)
      R. Yamamoto, Y. Hosoe and T. Hagiwara
    • Organizer
      SICE Annual Conference 2013
    • Place of Presentation
      名古屋大学(名古屋市千種区不老町)
    • Related Report
      2013 Research-status Report
  • [Presentation] compression 作用素のL∞[0, h)誘導ノルムの計算2013

    • Author(s)
      金正勳,萩原朋道
    • Organizer
      計測自動制御学会 第13回制御部門大会
    • Place of Presentation
      福岡
    • Related Report
      2012 Research-status Report
  • [Presentation] Robust Stability Analysis Based on Discrete-Time FIR Scaling2012

    • Author(s)
      Y. Hosoe and T. Hagiwara
    • Organizer
      2012 American Control Conference
    • Place of Presentation
      Montreal
    • Related Report
      2012 Research-status Report
  • [Presentation] Quasi-Finite-Rank Approximation of Compression Operators Based on L∞[0, h]-Induced Norm2012

    • Author(s)
      J. H. Kim and T. Hagiwara
    • Organizer
      SICE Annual Conference 2012
    • Place of Presentation
      Akita
    • Related Report
      2012 Research-status Report
  • [Presentation] Robust Stability Analysis Based on Noncausal LPTV FIR Scaling: Explicit Procedure and Relationship with Causal LTI FIR Scaling2012

    • Author(s)
      Y. Hosoe and T. Hagiwara
    • Organizer
      51st IEEE Conference on Decision and Control
    • Place of Presentation
      Hawaii, US
    • Related Report
      2012 Research-status Report
  • [Presentation] モノドロミー作用素の累乗のノルム計算に基づくむだ時間系の安定解析法2012

    • Author(s)
      齊藤勇来,萩原朋道
    • Organizer
      計測自動制御学会 第41回制御理論シンポジウム
    • Place of Presentation
      神奈川
    • Related Report
      2012 Research-status Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi