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1996 Fiscal Year Final Research Report Summary

System Theory and Control of Model Sets

Research Project

Project/Area Number 07455172
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field 計測・制御工学
Research InstitutionUniversity of Tokyo

Principal Investigator

KIMURA Hidenori  University of Tokyo, Graduate School of Engineering, Professor, 大学院・工学系研究科, 教授 (10029514)

Co-Investigator(Kenkyū-buntansha) YAMAMOTO Shigeru  Osaka University, Faculty of Engineering Science, Research Associate, 基礎工学部, 助手 (70220465)
Project Period (FY) 1995 – 1996
KeywordsModel set / Uncertainty / Robust control / System identification / Control system / Quadratic stabilization
Research Abstract

Through this research, methodology for a systematic controller design based on an uncertain plant model has been sought. As a starting point of our research, we recognized that controlled plant should be modeled not using only one model but using a set of models because it is unavoidable that a plant model has some uncertainty. From this viewpoint, we considered several problems concerned with quantification of uncertainty as a size of a model set and control of uncertain system as control of a model set.
In 1995, we obtained a procedure to quantify uncertainty and a mathematical formulation of a model set. Specifically, provided an upper bound of a plant gain and finite-length input-output data, a model set is defined as the set of all transfer functions consistent to these a priori data. Moreover, we developed an algorithm to calculate this set using a complex function theory. As for control, on the other hand, we extend a technique of quadratic stabilization so that it can be applied for a class of model sets of time-varying systems.
In 1996, we achieved deeper understanding of model set identification and seeked to combine it with robust control techniques. namely, a model set identification based on Euclid norms is proposed and properties of structured singular values are investigated regarding systems whose transfer functions are reciprocal. Furthermore, we showed that we can make an uncertain control system estimate a value of an associated Lyapunov function by extending a quadratic stabilization method obtained in the previous year.

  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] T.Zhou and H.Kimura: "Structure of model uncertainty for a weakly corrupted plant" IEEE Transactions on Automatic control. 40・4. 639-655 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Ushida and H.Kimura: "A counterexample to Mustafa-Glover'S monotonicity conjecture" Systems & Control Letters. 28. 129-137 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] W.Kongprawechnon and H.Kimura: "J-lossless conjugation and factorization for discrete-time systems" International Journal of Control. 65・5. 867-884 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 山本 茂, 木村 英紀: "H_∞コントローラによる二次安定化制御と時変ゲインによるチューニング" 計測自動制御学会論文集. 32・4. 486-494 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 山本 茂, 上田 隆弘, 木村 英紀: "二次安定化制御法を用いた三慣性系ベンチマーク問題の解法" 計測自動制御学会論文集. 32・7. 1027-1034 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 山本 茂, 牛田 俊, 木村 英紀: "可調整パラメータを有するH_∞状態フィードバックによる二次安定化" システム制御情報学会論文誌. 10・1. 11-17 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Zhou and H.Kimura: "Structure of model uncertainty for a weakly corrupted plant" IEEE Transactions on Automatic Control. Vol.40, No.4. 639-655 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Ushida and H.Kimura: "A counterexample to Mustafa-Glovers' monotonicity conjecture" Systems & Control Letters. Vol.28. 129-137 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] W.Kongprawechnon and H.Kimura: "J-lossless conjugation and factorization for discrete-time systems" International Journal of Control. Vol.65, No.5. 867-884 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Yamamoto and H.Kimura: "Quadratic stabilization control via H^* controller and tuning up by time-varying gain (in Japanese)" Transactions of the Society of Instrument and Control Engineers. Vol.32, No.4. 486-494 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Yamamoto, T.Ueda, and H.Kimura: "Quadratic stabilization approach to coupled three-inertia benchmark problem (in Japanese)" Transactions of the Society of Instrument and Control Engineers. Vol.32, No.7. 1027-1034 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Yamamoto, S.Ushida, and H.Kimura: "Quadratic stabilization by H^* state feedback control with adjustable parameter (in Japanese)" Transactions of the Institute of Systems, Control and Information Engineers. Vol.10, No.1. 11-17 (1997)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-16  

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