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Studies on Risk-sensitive Stochastic Control of Mechanical Systems

Research Project

Project/Area Number 17560209
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Dynamics/Control
Research InstitutionKyoto Institute of Technology

Principal Investigator

SAWADA Yuichi  Kyoto Institute of Technology, Graduate School of Science and Technology, Associate Professor (80273548)

Project Period (FY) 2005 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥3,440,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2006: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2005: ¥1,600,000 (Direct Cost: ¥1,600,000)
Keywordsstochastic systems / risk-sensitive control / mechanical systems / risk parameter / review control / リスク鋭敏型確率最適制御 / 振動台 / 機械システム / リスク鋭敏型制御 / リスク鋭敏的パラメータ / 柔軟マニピュレータ
Research Abstract

In this study, control problems of mechanical systems using risk-sensitive stochastic control (RS-control) and its applications have been investigated.
First, the risk-sensitive stochastic control problems of flexible manipulators have been studied. The risk-sensitive controller with a positive risk parameter has shown that the mechanical vibration of the flexible arm has been quickly suppressed. On the other hand, in the case of negative risk parameter, the behavior of the flexible arm has been reduced smoothly and slowly. In addition, vibration tests of the flexible manipulator using the shaking table have been performed. In the case that the risk-sensitive control with the positive risk parameter, the vibration of the flexible arm due to the disturbance in lower frequency has been well suppressed. However, the mechanical vibration of the arm due to the higher frequency has been difficult to reduce using the risk-sensitive controller.
Secondly, the decision problems of risk-sensitive parameter for the risk-sensitive stochastic control problems of lumped parameter mechanical systems have been investigated. In order to decide the risk parameter for showing best performance, an algorithm to minimize a measure which represents the variance of performance index of the controller has been introduced.
Next, as the risk-sensitive control problem of mechanical systems, a precise tracking control problem of shaking tables has been studied. In order to establish a basic approach to precise tracking control, the preview action has been introduced into the risk-sensitive tracking control for general mechanical systems which is represented by a system equation. As a result, the response of tracking error has been improved. Furthermore, the robustness of the controller for the random disturbance with large variance has been confirmed.

Report

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

    (19 results)

All 2008 2007 2006 2005 Other

All Journal Article (15 results) (of which Peer Reviewed: 6 results) Presentation (4 results)

  • [Journal Article] Risk-sensitive Tracking Control of Stochastic Systems with Preview Action2008

    • Author(s)
      Y. Sawada
    • Journal Title

      International Journal of Innovative Computing, Information & Control Vol.4,No.1

      Pages: 189-198

    • 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] Risk-sensitive Tracking Control of Stochastic Systems with Preview Action2008

    • Author(s)
      Y., Sawada
    • Journal Title

      International Journal of Innovative Computing, Information & Control Vol.4 No.1

      Pages: 189-198

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Risk-sensitive Tracking Control of Stochastic Systems with Preview Action2008

    • Author(s)
      Yuichi Sawada
    • Journal Title

      International Journal of Innovative Computing, Information and Control 4

      Pages: 189-198

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Risk-sensitive Tracking Control of Uniaxial Electric Shaking Tables2007

    • Author(s)
      Y. Sawada and N. Ohgawara
    • Journal Title

      Proceedings of the European Control Conference 2007

      Pages: 3173-3178

    • 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] Risk-sensitive Tracking Control of Uniaxial Electric Shaking Tables2007

    • Author(s)
      Y., Sawada, N., Ohgawara
    • Journal Title

      Proceedings of the European Control Conference 2007

      Pages: 3173-3178

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Risk-sensitive Tracking Control of Uniaxial Electric Shaking Tables2007

    • Author(s)
      Yuichi Sawada, Naoto Ohgawara
    • Journal Title

      Proceedings of the European Control Conference 2007

      Pages: 3173-3178

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Risk-sensitive Preview Tracking Control of Stochastic Systems2006

    • Author(s)
      Y. Sawada
    • Journal Title

      Proc. the 38th ISCIE Int. Symp. on Stochastic Systems Theory and Its Applications

      Pages: 154-159

    • NAID

      130007377215

    • 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] Risk-sensitive Preview Tracking Control of Stochastic Systems2006

    • Author(s)
      Y., Sawada
    • Journal Title

      Proc. the 38th ISCIE Int. Symp. on Stochastic Systems Theory and Its Applications

      Pages: 154-159

    • NAID

      130007377215

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] LEQG Control of Mechanical Systems with Optimal Risk-sensitive Parameter2006

    • Author(s)
      Y.Sawada, D.Koga
    • Journal Title

      第51回システム制御情報学会研究発表講演会 予稿集

      Pages: 577-578

    • NAID

      130004667906

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Risk-sensitive Preview Tracking Control of Stochastic Systems2006

    • Author(s)
      Y.Sawada
    • Journal Title

      Proceedings of the 38th ISCIE International Symposium on Stochastic Systems Theory and Its Applications

      Pages: 154-159

    • NAID

      130007377215

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 電動式振動台のリスク鋭敏型予見制御2006

    • Author(s)
      澤田祐一, 大河原直人
    • Journal Title

      第49回自動制御連合講演会予稿集

    • NAID

      130004600066

    • Related Report
      2006 Annual Research Report
  • [Journal Article] LEQG Control of a Single-link Flexible Arm2005

    • Author(s)
      Y. Sawada, D. Koga and T. Watanabe
    • Journal Title

      44th SICE Annual Conference, Okayama

      Pages: 3165-3169

    • 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] LEQG Control of a Single-lirik Flexible Arm2005

    • Author(s)
      Y., Sawada, D., Koga, T., Watanabe
    • Journal Title

      44th SICE Annual Conference, Okayama

      Pages: 3165-3169

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] LEQG Control of a Single-link Flexible Arm2005

    • Author(s)
      Y.Sawada, D.Koga, T.Watanabe
    • Journal Title

      Proc.of 44th SICE Annual Conference

      Pages: 3165-3169

    • Related Report
      2005 Annual Research Report
  • [Journal Article] LEQG Control of Mechanical Systems with Optimal Risk-sensitive Parameter

    • Author(s)
      D., Koga, Y., Sawada
    • Journal Title

      Proceedings of the 52nd Annual Conference of the Institute of Systems, Control and Information Engineers

    • NAID

      130004667906

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] LEQG Control of Mechanical Systems with Optimal Risk-sensitive Parameter2006

    • Author(s)
      D. Koga and Y. Sawada
    • Organizer
      第50回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 電動式振動台のリスク鋭敏型予見制御2006

    • Author(s)
      澤田祐一
    • Organizer
      第49 回自動制御連合講演会
    • Place of Presentation
      神戸
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] LEQG Control of Mechanical Systems with Optimal Risk-sensitive Parameter2006

    • Author(s)
      D., Koga, Y., Sawada
    • Organizer
      Proceedings of the 52nd Annual Conference of the Institute of Systems, Control and Information Engineers
    • Place of Presentation
      Kyoto
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Risk-sensitive preview tracking control of an electric shaking table2006

    • Author(s)
      Y., Sawada, N., Ohgawara
    • Organizer
      The 49th Japan Joint Automatic Control Conference
    • Place of Presentation
      Kobe
    • 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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