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Analysis and design methods of nonlinear control systems based on the model representation preserving nonlinearities

Research Project

Project/Area Number 17560393
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

WADA Teruyo  Osaka University, Graduate School of Engineering, Specially appointed associate professor (70201259)

Co-Investigator(Kenkyū-buntansha) IKEDA Masao  Osaka University, Graduate School of Engineering, Professor (00031146)
IMAI Jun  Okayama University, Graduate School of Natural Science and Technology, Senior assistant professor (50243986)
Project Period (FY) 2005 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥3,800,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2006: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2005: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsNonlinear systems / Descriptor systems / Stability analysis / Absolute stability / Lur'e System / Linear time-varying system / ディスクリプタ方程式 / モデル表現 / 絶対安定条件
Research Abstract

In other m develop analysis and design methods of nonlinear control systems based on the model representation preserving nonlinearities, this research accomplisbed the basic theoretical results as follows :
1. Stability conditions for nonlinear descriptor systems
Nonlinear descriptor equations were adopted as model representation preserving nonlinearities, and stability conditions were derived for general descriptor systems with non-smooth nonlinearities.
2. Absolute stability conditions for Lur'e-type descriptor systems
For Lur'e-type desciptor systems which consist of linear descriptor systems and static nonlinearities, conditions of absolute stability as well as existence of solutions were derived as linear matrix inequalities (LMIs).
Theoretical development of linear time-varying systems leads to that of nonlinear systems. Thus, conditions of stability and stabilizability of linear time-varying descriptor systems were derived as linear matrix differential inequalities (LMdIs).
Theoretical development of linear time-varying systems leads to that of nonlinear systems. Thus, conditions of stability and stabliralnlity of linear time-varying descriptor systems were derived as linear matrix differential inequalities (LMdIs).
4. Theoretical modeling and design methods for practical systems
Controller synthesis methods for infinite dimensional systems with spatially distributed control variables were derived, based on finite dimensional design model with the approximation error bounds. Furthermore, disturbance rejection problem for control systems with actuator saturation were solved.

Report

(4 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (35 results)

All 2008 2007 2006 2005

All Journal Article (20 results) (of which Peer Reviewed: 9 results) Presentation (15 results)

  • [Journal Article] Absolute Stability of Multivariable Lur'e-type Descriptor Systems2008

    • Author(s)
      T. Wada, M. Ikeda, E. Uezato
    • Journal Title

      Preprints of the 17th IFAC World Congress (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Absolute Stability of Multivariable Lur'e-type Descriptor Systems2008

    • Author(s)
      T., Wada, M., Ikeda, E., Uezato
    • Journal Title

      Preprints of the 17th IFAC World Congress (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Absolute Stability of Multivariable Lur'e-type Descriptor Systems2008

    • Author(s)
      Teruyo Wada
    • Journal Title

      Preprints of the 17th IFAC World Congress (in press)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 非線形ディスクリプタシステムに対する安定条件2007

    • Author(s)
      和田 光代, 池田 雅夫, 上里 英輔
    • Journal Title

      システム制御情報学会論文誌 51

      Pages: 152-159

    • NAID

      10019707421

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] A Finite-dimensional Uncertainty Modeling for Parabolic Distributed Parameter Systems2007

    • Author(s)
      J. Imai
    • Journal Title

      Proc. of SICE Annual Conference 2007 in Kagawa

      Pages: 879-883

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] L∞ Performance Analysis/Synthesis for Continuous-time Control Systems with Actuator Saturation under L∞ Bounded Disturbance2007

    • Author(s)
      K. Sawada and T. Kiyama
    • Journal Title

      Preprints of the 3rd IFAC Symposium on System, Structure and Control SSSC07

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Stability Conditions for Nonlinear Descriptor Systems2007

    • Author(s)
      T., Wada, M., Ikeda, E., Uezato
    • Journal Title

      Transactions of the Institute of Systems, Control and Information Engineers(in Japanese) 51(4)

      Pages: 152-159

    • NAID

      10019707421

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A Finite-dimensional Uncertainty Modeling for Parabolic Distributed Parameter Systems2007

    • Author(s)
      J., Imai
    • Journal Title

      Proc. of SICE Annual Conference 2007 in Kagawa

      Pages: 879-883

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] L∞ Performance Analysis/Synthesis for Continuous-time Control Systems with Actuator Saturation under L∞ Bounded Disturbance2007

    • Author(s)
      K., Sawada, T., Kiyama
    • Journal Title

      Preprints of the 3rd IFAC Symposium on System, Structure and Control SSSC07

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A Finite-dimensional Uncertainty Modeling for Parabolic Distributed Parameter Systems2007

    • Author(s)
      Jun Imai
    • Journal Title

      Proceedings of SICE Annual Conference 2007 in Kagawa

      Pages: 879-883

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 非線形ディスクリプタシステムに対する安定条件2007

    • Author(s)
      和田 光代
    • Journal Title

      システム制御情報学会論文誌 20巻4号

      Pages: 152-159

    • NAID

      10019707421

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Stability Theory for Descriptor Systems with Non-smooth Nonlinearities2006

    • Author(s)
      T. Wada, M. Ikeda, E. Uezato
    • Journal Title

      Proc. 17th International Symposium on Mathematical Theory of Networks and Systems

      Pages: 1626-1631

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Stability Theory for Descriptor Systems with Non-smooth Nonlinearities2006

    • Author(s)
      T., Wada, M., Ikeda, E., Uezato
    • Journal Title

      Proc. 17th International Symposium on Mathematical Theory of Networks and Systems

      Pages: 1626-1631

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Stability theory for descriptor systems with non-smooth nonlinearities2006

    • Author(s)
      Teruyo Wada
    • Journal Title

      Proc. 17th International Symposium on Mathematical Theory of Networks and Systems

      Pages: 1626-1631

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 線形時変ディスクリプタシステムの安定条件と安定化可能条件2006

    • Author(s)
      池田 雅夫
    • Journal Title

      第35回制御理論シンポジウム資料

      Pages: 87-90

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On Regulator Design for Spatial Temperature Distribution using Finite-dimensional Modeling of Heat Equations2005

    • Author(s)
      J. Imai, Y. Ando, M. Konishi, T. Nishi
    • Journal Title

      Preprints of the 16th IFAC World Congress

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Finite-dimensional Approximate Modeling with Error Bounds of Flexible Vibrating Systems based on Partial Eigenstructures2005

    • Author(s)
      J. Imai and K. Wada
    • Journal Title

      Electrical Engineering in Japan 155

      Pages: 36-44

    • NAID

      10014100360

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] On Regulator Design for Spatial Temperature Distribution using Finite-dimensional Modeling of Heat Equations2005

    • Author(s)
      J., Imai, Y., Ando, M., Konishi, T., Nishi
    • Journal Title

      Preprints of the 16th IFAC World Congress Mo-A02-TP/8

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Finite-dimensional Approximate Modeling with Error Bounds of Flexible Vibrating Systems based on Partial Eigenstructures2005

    • Author(s)
      J., Imai, K., Wada
    • Journal Title

      Electrical Engineering in Japan 155

      Pages: 36-44

    • NAID

      10014100360

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 非線形ディスクリプタシステムに対する安定条件2005

    • Author(s)
      和田光代, 池田雅夫, 上里英輔
    • Journal Title

      計測自動制御学会 第34回制御理論シンポジウム資料

      Pages: 35-38

    • NAID

      10019707421

    • Related Report
      2005 Annual Research Report
  • [Presentation] 多変数Lur'e型ディスクリプタシステムに対する絶対安定条件2008

    • Author(s)
      和田 光代, 池田 雅夫, 上里 英輔
    • Organizer
      計測自動制御学会 第8回制御部門大会
    • Place of Presentation
      京都大学(京都府京都市)
    • Year and Date
      2008-03-07
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 線形時変ディスクリプタシステムの安定化2008

    • Author(s)
      井上 正樹, 和田 光代, 池田 雅夫, 上里 英輔
    • Organizer
      計測自動制御学会 第8回制御部門大会
    • Place of Presentation
      京都大学(京都府京都市)
    • Year and Date
      2008-03-07
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Absolute Stability Conditions for Multivariable Lur'e-type Descriptor Systems2008

    • Author(s)
      T., Wada, M., Ikeda, E., Uezato
    • Organizer
      SICE 8th Annual Conference on Control Systems
    • Place of Presentation
      Kyoto
    • Year and Date
      2008-03-07
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Stabilization of Linear Time-Varying Descriptor Systems2008

    • Author(s)
      M., Inoue, T., Wada, M., Ikeda, E., Uezato
    • Organizer
      SICE 8th Annual Conference on Control Systems
    • Place of Presentation
      Kyoto
    • Year and Date
      2008-03-07
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 多変数Lur'e型ディスクリプタシステムに対する絶対安定条件2008

    • Author(s)
      和田 光代
    • Organizer
      計測自動制御学会 第8回制御部門大会
    • Place of Presentation
      京都大学
    • Year and Date
      2008-03-07
    • Related Report
      2007 Annual Research Report
  • [Presentation] 線形時変ディスクリプタシステムの安定化2008

    • Author(s)
      井上 正樹
    • Organizer
      計測自動制御学会 第8回制御部門大会
    • Place of Presentation
      京都大学
    • Year and Date
      2008-03-07
    • Related Report
      2007 Annual Research Report
  • [Presentation] 空間分布した制御量の有限次元制御問題2007

    • Author(s)
      今井 純
    • Organizer
      計測自動制御学会 第36回制御理論シンポジウム
    • Place of Presentation
      ライフォート札幌(北海道札幌市)
    • Year and Date
      2007-09-06
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Finite-Dimensional Control Problems with Spatially Distributed Control Variables2007

    • Author(s)
      J., Imai
    • Organizer
      36th SICE Symposium on Control Theory
    • Place of Presentation
      Sapporo
    • Year and Date
      2007-09-06
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 空間分布した制御量の有限次元制御問題2007

    • Author(s)
      今井 純
    • Organizer
      計測自動制御学会 第36回制御理論シンポジウム
    • Place of Presentation
      ライフォート札幌
    • Year and Date
      2007-09-06
    • Related Report
      2007 Annual Research Report
  • [Presentation] 空間・周波数誤差上界を有する熱伝導系の有限次元モデリング2007

    • Author(s)
      今井 純, 野津匡史, 白尾純一
    • Organizer
      計測自動制御学会 第7回制御部門大会
    • Place of Presentation
      電気通信大学(東京都調布市)
    • Year and Date
      2007-03-08
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Finite-Dimensional Modeling of Heat Conduction Systems with Error Bounds in Spatio-Frequency Domain2007

    • Author(s)
      J., Imai, T., Notsu, J., Shirao
    • Organizer
      SICE 7th Annual Conference on Control Systems
    • Place of Presentation
      Tokyo
    • Year and Date
      2007-03-08
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 線形時変ディスクリプタシステムの安定条件と安定化可能条件2006

    • Author(s)
      池田 雅夫, 上里 英輔, 和田 光代
    • Organizer
      計測自動制御学会 第35回制御理論シンポジウム
    • Place of Presentation
      コスモスクエア国際交流センター(大阪府大阪市)
    • Year and Date
      2006-09-19
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Stability and Stabilizability Conditions for Linear Time-Varying Descriptor Systems2006

    • Author(s)
      M., Ikeda, E., Uezato, T., Wada
    • Organizer
      35th SICE Symposium on Control Theory
    • Place of Presentation
      Osaka
    • Year and Date
      2006-09-19
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 非線形ディスクリプタシステムに対する安定条件2005

    • Author(s)
      和田 光代, 池田 雅夫, 上里 英輔
    • Organizer
      計測自動制御学会 第34回制御理論シンポジウム
    • Place of Presentation
      コスモスクエア国際交流センター(大阪府大阪市)
    • Year and Date
      2005-10-31
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Stability Theory for Nonlinear Descriptor Systems2005

    • Author(s)
      T., Wada, M., Ikeda, E., Uezato
    • Organizer
      34th SICE Symposium on Control Theory
    • Place of Presentation
      Osaka
    • Year and Date
      2005-10-31
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary

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Published: 2005-04-01   Modified: 2016-04-21  

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