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Analysis of Model Set and Time-Varying Control based on Complexity

Research Project

Project/Area Number 11450164
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionThe University of Tokyo

Principal Investigator

KIMURA Hidenori  Complexity Science & Eng., The University of Tokyo, Professor, 大学院・新領域創成化学研究科, 教授 (10029514)

Co-Investigator(Kenkyū-buntansha) YAMAMOTO Shigeru  Osaka Univ., Systems & Human Science, Associate Professor, 大学院・基礎工学研究科, 助教授 (70220465)
OISHI Yasuaki  Mathematical Informatics, The University of Tokyo, Assistant Professor, 大学院・情報理工学系研究科, 講師 (80272392)
TSUMURA Kouji  Information Physics & Computing, The University of Tokyo, Associate Prof., 大学院・情報理工学系研究科, 助教授 (80241941)
Project Period (FY) 1999 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥6,700,000 (Direct Cost: ¥6,700,000)
Fiscal Year 2001: ¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 2000: ¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 1999: ¥2,900,000 (Direct Cost: ¥2,900,000)
KeywordsModel / System identification / 4SID Method / Complexity / Learning theory / Control Systems / Adaptive control / LPV control / 赤池情報量基準 / モデル集合同定 / サンプル複雑度 / モデル駆動制御 / 逆モデル / 運動制御 / ブレンディングコントロール / 内部モデル制御 / モデル集合 / 複雑度 / 情報量基準 / スイッチング制御 / 部分空間同定 / 熱交換器 / 線形パラメータ変動システム / 統計的学習理論
Research Abstract

1 Real-Time Identification of Time-Varying Systems
We are successful in obtaining sequential version of the 4-SID method which enables us to track the parameter variation of the system. We have clarified some fundamental structure of sequential 4-SID method from the viewpoint of realization theory. This is the most remarkable result we have obtained in this research program.
2 Analysis and Quantification of Model Complexity and Its Relation to Learning
We have applied learning theory to identification of model set and obtained the lower and upper bound of the samples required for guaranteering a prescribed model accuracy. We have defined complexity of model set through this sample number bounds. We have pointed out that the prevailing stochastic analysis of model set identification connected with control has some drawback.
3 Control Algorithm for Linear Parameter Varying (LPV) Systems
We have obtained some fundamental results on this issue. H-infinity control structure and topological aspects of model set have been considered from the LPV point of view. Also, we have considered the application of the so-called just-in-time (JIT) modeling. However, we are unable to establish so far the solid control architecture and algorithm for LPV systems based on the results obtained in (1) and (2).

Report

(4 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (53 results)

All Other

All Publications (53 results)

  • [Publications] 奥, 木村: "部分空間同定法の逐次化について"計測自動制御学会論文集. Vol.35. 800-805 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.Oku, H.kimura: "A recursive 4SID from the input-output point of view"Asian Journal of Control. Vol.1. 258-269 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 佐々木, 津村: "シミュレーションを用いた複雑システムのモデリング(高炉の場合)"日本機械学会論文集(C編). Vol.65. 2257-2264 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 延山, 津村: "連続時間系デッドヒート制御の最近の進展-H-infinityノルム仕様を入れた時間・周波数領域混合制御へ"システム/制御情報. Vol.43. 250-257 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 長棟, 山本: "時変のパラメトリックな不確かさをもつ状態空間型モデル集合の部分空間法の利用による一同定法"計測自動制御学会論文集. Vol.35. 741-747 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 山本, 山内: "ロバスト安定化状態フィードバックの時変パラメータを用いた適応制御系の一設定法"システム制御情報学会論文誌. Vol.12. 319-325 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 木村, 山本, 長棟: "ロバストパフォーマンス制御則の存在を条件とする状態空間型モデル集合の同定法"システム制御情報学会論文誌. Vol.12. 444-446 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] W.Kongprawechnon, Ushida, Kimura: "Structure of discrete-time H-infinity controller"Science Asia. Vol.26. 49-55 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.Ushida, Ohba, Kimura, Oishi: "The closed-loop structure of H-infinity control systems"Transactions of the Society Instrument and Control Engineers. Vol.36. 1093-1100 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 津村幸治: "制御系設計を考慮したモデルの選択・推定"計測と制御. Vol.39. 757-762 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 大石泰章: "ロバスト制御のための学習理論的システム同定"電子情報通信学会論文誌. Vol.J83-A. 651-660 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 篠原, 菊地, 大石, 木村: "単層パーセプトロンの許容パラメータ領域の計算アルゴリズム"計測自動制御学会論文集. Vol.36. 622-624 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 大石, 足立: "統計的学習理論にもとづくシステム同定法"計測と制御. Vol.39. 749-756 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Q.Zheng, H.Kimura: "Just-In-Time modeling for function prediction and its applications"Asian Journal of Control. Vol.3. 35-44 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I.Jikuya, H.Kimura: "Analysis of Inclusion and Equivalence between Model Sets in the Chain-Scattering Representation"Transactions of the Society of Instrument and Control Engineers. Vol.37. 178-180 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Oishi, H.Kimura: "A learning-theoretic approach to model-set identification"Asian Journal of Control. Vol.3. 10-20 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Tsumura, M.Kitamura: "Structural analysis of robust control systems"IEEE Transactions on Automatic Control. Vol.47. 125-132 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 木村英紀: "コロナ社"H無限大制御. 270 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Oku and H. Kimura: "Recursive algorithms of the state-space subspace system identification"Trans. Of the society of Instrument and Control Engineers. Vol.35, No.6. 800-805 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Oku and H. Kimura: "A recursive 4SID from the input-output point of view"Asian Journal of Control. Vol. 1, No. 4. 258-269 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Sasaki and Tsumura: "Simulator-Based Modeling for Complex Systems (Case of Blast Furnace)"J. of the Japan Society of Mechanical Engineers. Vol.65. 2257-2264 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Nobuyama and Tsumura: "Recent Advance of Deadbeat Control of Continuous-Time Systems A Mixed Time/Frequency-Domain Control"Systems, Control and Information. Vol. 43, No. 5. (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Nagamune and Yamamoto: "An Identification Method for a State Space Model Set with Time-Varying Parametric Uncertainties by Using the Subspace Method"Trans. Of the society of Instrument and Control Engineers. Vol.35. 741-747 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Yamamoto and Yamauchi: "A Design Method of Adaptive Control Systems by a Time-Varying Parameter of Robust Stabilizing State Feedback"Trans. Of the Institute og Systems, Control and Information Engineers. Vol.12. 319-325 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kimura, Yamamoto and Nagamune: "Identification of a State-Space Model Set Presupposing the Existence of Robust Performance Control"Trans. Of the Institute og Systems, Control and Information Engineers. Vol.12. 444-446 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] W. Kongprawechnon, Ushida and Kimura: "Structure of Discrete-time H-infinity controller"ScienceAsia. Vol.26. 49-55 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Ushida, Ohba, Kimura and Oishi: "The closed loop structure of H-infinity control systems"Trans. Of the society of Instrument and Control Engineers. Vol.36. 1093-1100 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Tsumura: "Model Selection and Estimation for Design of Control Systems"J. of the Society of Instrument and Control Engineers. Vol.39. 757-762 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Oishi: "Learning-Theoretic System Identification for Robust Control"The Transactions of the Institute of Electronics, Information and Communication Engineers. Vol. J83-A. 651-660 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Shinohara, Kikuchi, Oishi and Kimura: "An Algorithm to Compute the Admissible Parameter Region of a Single-Layered Perceptron"Trans. Of the society of Instrument and Control Engineers. Vol.36. 622-624 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Oishi and S. Adachi: "System Identification Based on Statistical Learning Theory"J. of the Society of Instrument and Control Engineers. Vol.39. 749-756 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Q. Zheng and H. Kimura: "Just-In-Time modeling for function prediction and its applications"Asian Journal of Control. Vol. 3. 35-44 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] I. Jikuya and H. Kimura: "Analysis of Inclusion and Equivalence between Model Sets in the Chain-Scattering Representation"Trans. Of the Society of Instrument and Control Engineers. Vol.37. 178-180 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Oishi and Kimura: "A learning-theoretic approach to model-set identification"Asian Journal of Control. Vol. 3. 10-20 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Tsumura and M. Kitamura: "Structure analysis of robust control systems"IEEE Transactions on Automatic Control. Vol.47. 125-132 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Kimura: "H-infinity Control"Koronasha. 270 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Q.Zheng, H.Kimura: "Just-In-Time modeling for function prediction and its applications"Asian Journal of Control. Vol.3. 35-44 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] I.Jikuya, H.Kimura: "Analysis of Inclusion and Equivalence between Model Sets in the Chain-Scattering Representation"Transactions of the Society of Instrument and Control Engineers. Vol.37. 178-180 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Oishi, H.Kimura: "A learning-theoretic approach to model-set identification"Asian Journal of Control. Vol.3. 10-20 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Tsumura, M.Kitamura: "Structural analysis of robust control systems"IEEE Transactions on Automatic Control. Vol.47. 125-132 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] W.Kongprawechnon,S.Ushida,and H.Kimura: "Structure of discrete-time H^∞ controller"Science Asia. vol.26. 49-55 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] S.Ushida,T.Ohba,H.Kimnra,and Y.Oishi: "On the closed-loop structure of H^∞ control systems"計測自動制御学会論文集. vol.36,no.12. 1093-1100 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 篠原,菊地,大石,木村: "単層パーセプトロンの許容パラメータ領域の計算アルゴリズム"計測自動制御学会論文集. vol.36,no.7. 622-624 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 軸屋,木村: "連鎖散乱表現で記述されたモデル集合の包含関係と等価性の解析"計測自動制御学会論文集. vol.37,no.2. 178-180 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 津村幸治: "制御系設計を考慮したモデルの選択・推定"計測と制御. vol.39,no.12. 757-762 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 大石,足立: "統計的学習理論にもとづくシステム同定法"計測と制御. vol.39,no.12. 749-756 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Oku and H.Kimura: "A recursive 4SID from the input-output point of view"Asian Journal of Control. Vol.1,no.4. 258-269 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 奥、木村: "部分空間同定法の逐次化について"計測自動制御学会論文集. Vol.35,no.6. 800-805 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Hayakawa,K.Matsumoto,M.Yamashita,Y.Suzuki,K.Fujumori, and H.Kumura: "Robust H^∞-output feedback control of decoupled automobile suspension systems"IEEE Transactions on Automatic Control. Vol.44. 392-397 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 佐々木、津村: "シミュレータを用いた複雑システムのモデリング(高炉の場合)"日本機械学会論文集(C編). Vol.65,no.634. 2257-2264 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 大石: "ロバスト制御のための学習理論的システム同定"電子情報通信学会論文誌A. (掲載予定).

    • Related Report
      1999 Annual Research Report
  • [Publications] 山本、山内: "ロバスト安定化状態フィードバックの時変パラメータを用いた適応制御系の一設計法"システム制御情報学会論文誌. Vol.12,no.6. 319-325 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 木村英紀: "H^∞制御"コロナ社. 255 (2000)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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