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

Development and Application of control theory based on organic combination of algebraic and analytic methods

Research Project

Project/Area Number 15560375
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

HAGIWARA Tomomichi  Kyoto University, Department of Electrical Engineering, Professor, 工学研究科, 教授 (70189463)

Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2005: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2004: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2003: ¥1,200,000 (Direct Cost: ¥1,200,000)
Keywordssampled-data systems / periodically time-varying systems / frequency response operators / spectral analysis / robust stability analysis / robust performance analysis / harmonic analysis / パラメータ不確かさ / 周期時変スケーリング / 制御装置離散化 / Hilbert-Scbmidtノルム / 状態空間での計算法 / 複素解析 / 有限次元化
Research Abstract

Regarding stability analysis, the frequency response operators of sampled-data systems defined in the frequency domain have been utilized, and an associated theory for positive-realness has been completed. For example, the relationship between positive-realness and some eigenvalue conditions has been clarified, and an algebraic method for checking positive-realness has been established based on a inertia law about the eigenvalues of operators. Furthermore, regarding the Nyquist stability criterion for periodically time-varying systems, the two-regularized determinant about the associated frequency response operator was employed to lead to a new result based on the principle of argument. These results about stability analysis can readily be applied to robust stability analysis and robust performance analysis of sampled-data systems ; it can be said that they have laid a path to advanced methods for robust stability/performance analysis by properly bridging the gap between algebraic methods and analytic methods.
As a side remark, some novel ideas have been derived from such fundamental analysis, and their basic properties have been partially derived. Also, regarding methods for discretization and reduction of continuous-time controllers, theoretical studies as well as numerical studies have been carried out. Through such studies, our future research direction has been suggested. Furthermore, regarding the analysis of periodically time-varying systems, some approximate methods have been introduced which does not require the solution of infinite-dimensional equations, and their effectiveness was clarified by establishing some convergence property via error analysis. Finally, as an example for demonstrating the effectiveness of our research direction, a new method has been shown that enables one to deal with the positive-realness analysis and the bounded-realness analysis of linear time-invariant systems in a systematic and transparent way.

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (19 results)

All 2005 2004 2003 Other

All Journal Article (17 results) Publications (2 results)

  • [Journal Article] A Study on the Spectrum of the Sampled-Data Transfer Operator with Application to Robust Exponential Stability Problems2005

    • Author(s)
      T.Hagiwara
    • Journal Title

      SIAM Journal on Control and Optimization 44/1

      Pages: 313-327

    • NAID

      120005540839

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 2-Regularized Nyquist Criterion in Linear Continuous-Time Periodic Systems and Its Implementation2005

    • Author(s)
      J.Zhou, T.Hagiwara
    • Journal Title

      SIAM Journal on Control and Optimization 44/2

      Pages: 618-645

    • NAID

      120005540838

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Inertia Approach to the Hamiltonian Eigenvalue Tests for Frequency-Domain Inequality Conditions2005

    • Author(s)
      T.Hagiwara
    • Journal Title

      Dynamics of Continuous, Discrete and Impulsive Systems, Series B : Applications & Algorithms Special Issue

      Pages: 279-283

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] A Study on the Spectrum of the Sampled-Data Transfer Operator with Application to Robust Exponential Stability Problems2005

    • Author(s)
      T.Hagiwara
    • Journal Title

      SIAM Journal on Control and Optimization Vol.44, No.1,

      Pages: 313-327

    • NAID

      120005540839

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 2-Regularized Nyquist Criterion in Linear Continuous-Time Periodic Systems and Its Implementation2005

    • Author(s)
      J.Zhou, T.Hagiwara
    • Journal Title

      SIAM Journal on Control and Optimization Vol.44, No.2

      Pages: 618-645

    • NAID

      120005540838

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Inertia Approach to the Hamiltonian Eigenvalue Tests for Frequency-Domain Inequality Conditions2005

    • Author(s)
      T.Hagiwara
    • Journal Title

      Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications & Algorithms, Special Issue

      Pages: 279-283

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A Study on the Spectrum of the Sampled-Data Transfer Operator with Application to Robust Exponential Stability Problems2005

    • Author(s)
      T.Hagiwara
    • Journal Title

      SIAM Journal on Control and Optimization 44-1

      Pages: 313-327

    • NAID

      120005540839

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 2-Regularized Nyquist Criterion in Linear Continuous-Time Periodic Systems and Its Implementation2005

    • Author(s)
      J.Zhou, T.Hagiwara
    • Journal Title

      SIAM Journal on Control and Optimization 44-2

      Pages: 618-645

    • NAID

      120005540838

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A Study on the Spectrum of the Sampled-Data Transfer Operator with Application to Robust Exponential Stability Problems2005

    • Author(s)
      T.Hagiwara
    • Journal Title

      SIAM J.Control and Optimization 掲載予定

    • NAID

      120005540839

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Positive-Realness Analysis of Sampled-Data Systems and Its Applications2004

    • Author(s)
      T.Hagiwara, M.Mugiuda
    • Journal Title

      Automatica 40/6

      Pages: 1043-1051

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Spectral Characteristics and Eigenvalues Computation of the Harmonic State Operators in Continuous-Time Periodic Systems2004

    • Author(s)
      J.Zhou, T.Hagiwara, M.Araki
    • Journal Title

      Systems & Control Letters 53/2

      Pages: 141-155

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Positive-Realness Analysis of Sampled-Data Systems and Its Applications2004

    • Author(s)
      T.Hagiwara, T.Mugiuda
    • Journal Title

      Automatica Vol.40, No.6

      Pages: 1043-1051

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Spectral Characteristics and Eigenvalues Computation of the Harmonic State Operators in Continuous-TimePeridic Systems2004

    • Author(s)
      J.Zhou, T.Hagiwara, M.Araki
    • Journal Title

      Systems & Control Letters Vol.53, No.2

      Pages: 141-155

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Positive-Realness Analysis of Sampled-Data Systems and Its Applications2004

    • Author(s)
      T.Hagiwara, T.Mugiuda
    • Journal Title

      Automatica 40-6

      Pages: 1043-1051

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Spectral Characteristics and Eigenvalues Computation of the Harmonic State Operators in Continuous-Time Periodic Systems2004

    • Author(s)
      J.Zhou, T.Hagiwara, M.Araki
    • Journal Title

      Systems & Control Letters 53-2

      Pages: 141-155

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Trace Formula of Linear Continuous-Time Periodic Systems via the Harmonic Lyapunov Equation2003

    • Author(s)
      J.Zhou, T.Hagiwara, M.Araki
    • Journal Title

      International Journal of Control 76/5

      Pages: 488-500

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Trace Formula of Linear Continuous-Time Periodic Systems via the Harmonic Lyapunov Equation2003

    • Author(s)
      J.Zhou, T.Hagiwara, M.Araki
    • Journal Title

      International Journal of Control Vol.76,No.5

      Pages: 488-500

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Publications] J.Zhou, T.Hagiwara, M.Araki: "Trace Formula of Linear Continuous-Time Periodic Systems via the Harmonic Lyapunov Equation"International Journal of Control. 76-5. 488-500 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Hagiwara, T.Mugiuda: "Positive-Realness Analysis of Sampled-Data Systems and Its Applications"Automatica. (掲載予定). (2004)

    • Related Report
      2003 Annual Research Report

URL: 

Published: 2003-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi