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Study on design of the optimal robust servo control systems and the application to real systems

Research Project

Project/Area Number 13650484
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionNagoya Institute of Technology

Principal Investigator

FUNAHASHI Yasuyuki  Nagoya Institute of Technology, Engineering, Professor, 工学部, 教授 (90023176)

Co-Investigator(Kenkyū-buntansha) OOBA Tatushi  Nagoya Institute of Technology, Engineering, Research Associate, 工学部, 助手 (90233254)
YAMADA Manabu  Nagoya Institute of Technology, Research Center for Micro-structure Devices, Associate Professor, 極微構造デバイス研究センター, 助教授 (40242903)
MIZUNO Naoki  Nagoya Institute of Technology, Engineering, Professor, 工学部, 教授 (30135404)
YAMADA Takayoshi  Nagoya Institute of Technology, Engineering, Research Associate, 工学部, 助手 (00273318)
KATOH Hisao  Nagoya Institute of Technology, Engineering, Research Associate, 工学部, 助手 (00233809)
Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2002: ¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2001: ¥1,500,000 (Direct Cost: ¥1,500,000)
Keywordsrobust servo system / optimization / steady state response / disturbance attenuation / robust performance / time-varying uncertainty / ロバスト安定性 / 感度関数 / 動的補償器 / 周波数特性
Research Abstract

It is widely accepted that a robust servo system is based on the internal model principle and can achieve zero steady-state controlled error for a given class of the desired outputs to be tracked and disturbance inputs to be rejected. The purpose of this study is to develop new and effective robust servo systems from the practical point of view.
In this study, we have proposed many interesting robust servo systems, for example, servo systems with the optimal steady-state performance, with the optimal disturbance rejection and with the optimal robust performance, and so on. In particular, in our study on servo system with the optimal robust performance, we have posed and have solved on a novel and practical robust performance problem against time-varying perturbations.
In the presence of time variation in the plant, however, it can be shown that the steady-state error may no longer be zero and can in fact be quite large even if the internal model principle is employed. This study has pres … More ented a design method of robust servo control system that minimizes the worst case steady-state controlled error under the robust stability in the presence of time-varying norm-bounded unstructured uncertainty. The key point is to show the worst case perturbation that maximizes the steady-state controlled error in the presence of time-varying norm-bounded unstructured uncertainty in an explicit form. As a result, a simple expression is derived for calculating the worst case steady-state error. This expression can provide a feasible method to solve the design problem of controller that minimizes the worst case steady-state controlled error. The proposed controller is obtained easily by solving a simple linear programming problem. Moreover, the proposed design method does not require the conservative assumptions on the weighting function of uncertainty and the plant, which had been imposed on the previous studies. Finally a numerical example illustrates the validity of the proposed method by a simulation. Less

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] M.YAMADA, Y.FUNAHASHI: "Parameterization of All Multivariable Deadbeat Controllers"計測自動制御学会論文集. 39. 120-126 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.YAMADA, Y.FUNAHASHI, M.YAMAGUCHI: "Parameterization of All Multivariable Ripple-Free Deadbeat Tracking Controllers"International Journal of Control. (掲載決定). (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 加藤久雄, 不破勝彦: "サーボ系における定常応答の最適化"計測自動制御学会論文集. 39. 479-486 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.YAMADA, Y.FUNAHASHI: "Minimization of the Worst-Case Steady-State Error for Multivariable Deadbeat Control Systems with Time-Varying Uncertainty"Proceedings of the 41th IEEE Conference on Decision and Control, CDC2002, Las Vegas, USA. 3324-3329 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 加藤久雄, 舟橋康行, 板野亘: "連続時間H2・H∞最適予見制御"計測自動制御学会論文集. 38. 604-608 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 加藤久雄, 舟橋康行: "非最小位相系に対する繰返し制御器の設計"計測自動制御学会論文集. 37. 1121-1125 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.OOBA: "On Stability Robustness of 2-D Systems Described by the Fornasini-Marchesini Model"Multidimensional Systems and Signal Processing. 12. 81-88 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.KATO, Y.FUNAHASHI: "New sampling theorem concerning the ripple phenomena"Proceedings of the IFAC Workshop on Periodic Systems and Control. 235-240 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 甲村雅彦, 山田学, 舟橋康行, 水野直樹: "未知の周期信号に対する離散時間繰返し制御"第3回適応学習制御シンポジウム講演予稿集. 23-26 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.YAMADA and Y.FUNAHASHI: "Parameterization of All Multivariable Deadbeat Controllers"Transactions of the Society of Instrument and Control Engineering. Vol.39. 120-126 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.YAMADA, Y.FUNAHASHI and M.YAMAGUCHI: "Parameterization of All Multivariable Ripple-free Deadbeat Tracking Controllers"International Journal of Control. (to appear). (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.KATO and K.FUWA: "Optimization of Steady-state Responses in Servosystems (in Japanese)"Transactions of the Society of Instrument and Control Engineering. Vol.39. 479-486 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.YAMADA and Y.FUNAHASHI: "Minimization of the Worst-Case Steady-State Error for Multivariable Deadbeat Control Systems with Time-Varying Uncertainty"Proceedings of the 41th IEEE Conference on Decision and Control, CDC2002. 3324-3329 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.KATO, Y.FUNAHASHI, W.BANNO: "Continuous-Time H2 and H^∞ Optimal Preview Control (in Japanese)"Transactions of the Society of Instrument and Control Engineering. Vol.38. 604-608 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.KATO and Y.FUNAHASHI: "A Design Method of Repetitive Controllers for Nonminimum-Phase Systems (in Japanese)"Transactions of the Society of Instrument and Control Engineering. Vol.37. 1121-1125 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.OOBA: "On Stability Robustness of 2-D Systems Described by the Fomasini-Marchesini Model"Multidimensional Systems and Signal Processing. Vol.12. 81-88 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.KATO and Y.FUNAHASHI: "New sampling theorem concerning the ripple phenomena"Proceedings of the IFAC Warkshop on Periodic Systems and Control, PSYCO2001. 235-240 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.KOUMURA, M.YAMADA, Y.FUNAHASHI and N.MIZUNO: "Discrete-time Repetitive Control for Periodic Signals with an Unknown Period"Preprints of 3^<rd> SICE Symposium on Adaptive and Learning Control. 23-26 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Manabu.YAMADA, Yasuyuki FUNAHASHI: "Parameterization of All Multivariable Deadbeat Controllers"計測自動制御学会論文集. 39巻2号. 120-126 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Manabu.YANADA, Yasuyuki FUNAHASHI: "Minimization of the Worst-Case Steady-State Error for Multivariable Deadbeat Control systems with Time-Varying Uncertainty"Proceedings of the 41th IEEE conference on Decision and Control, CDC2002, (Las Vegas, USA). 3324-3329 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Manabu.YAMADA, Shinichi OHTA, Yuichiro SYUMIYA, Yasuyuki FUNAHASHI: "Multirate Sampled Data Control of Nonholonomic System in time-state Control Form Based on Periodic Switching"計測自動制御学会論文集. 38巻4号. 369-378 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Manabu.YAMADA, Shinichi OHTA, Toshiaki MORINAKA, Yasuyuki FUNAHASHI: "Stabilization of Nonholonomic Systems in Control Form Based on Sampled Data Control"Proceedings of the 41th IEEE Conference on Decision and Control, CDC2002, (Las Vegas, USA). 348-349 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Manabu.YAMADA, Shinichi OHTA, Yasuyuki FUNAHASHI: "State and Output Feedback Stabilization for Second Order Nonholonomic Chained Systems Based on Sampled Data Control Approach"Proceedings of the 22nd American Control Conference, ACC 2003, (Denver, USA). (掲載決定). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 加藤久雄, 不破勝彦: "サーボモータにおける非線型摩擦の制御"計測自動制御学会2002年度産業応用部門大会講演予稿集. 83-86 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 加藤久雄, 舟橋康行: "非最小位相系に対する繰返し制御器の設計"計測自動制御学会論文集. 37. 1121-1125 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Hisao Kato, Y.Funahashi: "New sampling theorem concerning the ripple phenomena"Proceedings of IFAC Workshop on Periodic Systems and Control. 235-240 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Yamada, Y.Funahashi, Y.Syumiya, S.Ohta: "Multirate Sampled Data Control based on Time-State Control Form"第一回制御部門大会 予稿集. 527-532 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 山田学, 太田進一, 舟橋康行: "時間軸状態制御形に基づくマルチレートサンプル値制御系の安定化"第40回計測自動制御学会 学術講演会 予稿集. 307A4 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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