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A Study on Wavelet-based Identification of Nonstationary Systems

Research Project

Project/Area Number 11650457
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

NAKANO Kazushi  The Univ. of Electro-Communications, Faculty of Electro-Communications, Professor, 電気通信学部, 教授 (90136531)

Co-Investigator(Kenkyū-buntansha) SHIN Seiichi  The Univ. of Tokyo, Graduate School of Information Science and Technology, Associate Professor, 大学院・情報理工学系研究科, 助教授 (20134463)
Project Period (FY) 1999 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2001: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2000: ¥500,000 (Direct Cost: ¥500,000)
KeywordsLinear Continuous-Time Systems / Dead time / Continous Wavelet Transform / System Identification / Time-Vanying Systems / Spectral Estimation / Gabor Function / Blind Separation / ウェブレット変換 / むだ時間推定 / 伝達関数推定 / Blackman-Tukey法 / スペクトル密度推定 / ボイラ / ブラインドセパレーション / ウェーブレット変換 / 連続系 / 非定常系 / 多入力多出力系 / 閉ループ系
Research Abstract

1. We developed a method for estimating the dead time of transfer function model by taking the wavelet transform of finite-data input/output correlation function of linear systems, and reconsidered the method from the viewpoint of frequency domain.
2. We developed a method of estimating the frequency response of transfer function model by taking the wavelet transforms of finite-data input/output correlation functions of linear systems, and of estimating the time-varying rational parts of transfer functions by the least squares method in the frequency domain.
3. We. extended the methods proposed here to the 2-input/2-output linear feedback systems, and applied them to the control system of water-tube drum boiler in the power station. This demonstrates the feasibility and effectiveness of our methods.
4. We investigated the normalization of spectrum based on the, wavelet transform (frequency-dependent short-time Fourier transform) of correlation function.
5. We analyzed the relation between the wavelet transform of the correlatin function and the power spectrum under a general assumption. As a result, we showed theoretically these close relation by using the multiplication of the exponential function and the even function including the Gabor function as an analyzing wavelet.
6. The method developed for the transfer function estimation is based on the Blackman-Tukey method, called the indirect method. We proposed another method for the transfer function estimation by directly taking the wavelet transforms of input/output data of linear systems called the direct method.
7. As the applications of the wavelet transform, we developed a new method of blind source separation in convoluted mixture of sound signals, and we analyzed the extraordinary sounds of bike.

Report

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

    (15 results)

All Other

All Publications (15 results)

  • [Publications] 田原, 新: "相関データのウェーブレット解析に基づくむだ時間推定"計測自動制御学会論文集. 35. 357-362 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 中野, 田原, 新, 豊岡: "ウェーブレット解析に基づく連続むだ時間系の同定とそのボイラへの応用"電気学会論文誌. 119-C. 724-733 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 中野, 増野, 富塚: "オーバーパラメータモデルを用いた同定におけるパラメータ変換とバイアス補償最小2乗推定"システム制御情報学会論文誌. 13. 72-79 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 新: "wavelet解析と階層的知識表現"計測と制御. 39. 679-682 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 中野, 豊田: "ウェーブレット解析に基づくむだ時間系同定とそのボイラへの応用"計測と制御. 39. 701-705 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 中野, 田原, 新, 豊田, 辻野, 濱松: "ウェーブレット解析を用いたドラムボイラ制御系設計のための同定"電気学会論文誌. 122-D. 111-119 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Tabaru and S. Shin: "Dead Time Measurement Based on Wavelet Analysis of Correlation Data"Trans. SICE. 22. 357-362 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Nakano, T. Tabaru, S. Shin and Y. Toyoda: "Identification of Continuous-Time Systems with Time-Delay Based on Wavelet Analysis and Its Application to Boiler Process"Trans. IEE Japan. 119-C. 724-733 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Nakano, M. Mashino and M. Tomizuka: "Bias-Compensated Least-Squares Estimation and Parameter Transformation in Identification with Over-Parametrized Models"Trans. ISCIE. 13. 72-79 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S. Shin: "Wavelet Analysis and Hierarchy Knowledge Expression"J. SICE. 39. 679-682 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Nakano and Y. Toyoda: "Wavelet-Based Identification of Time-Dealy Systems and Its Application to Drum Boiler Systems"J. SICE. 39. 701-705 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Nakano, T. Tabaru, S. Shin, Y. Toyoda, T. Tsujino and T. Sanemasu: "Wavelet-Based Identification for Control of Watertube Drum Boiler"Trans. IEE Japan. 122-D. 111-119 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 中野 和司, 田原 鉄也, 新 誠一, 豊田 幸裕, 辻野 太郎, 美松 透: "ウェブレット解析を用いたドラムボイラ制御系設計のための同定"電気学会論文誌D. 122-D-2. 111-119 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 中野和司,豊田幸裕: "ウェーブレット解析に基づくむだ時間系同定とそのボイラへの応用"計測と制御. 39・11. 701-705 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 中野和司,田原鉄也,新誠一 ほか: "ウェーブレット解析に基づく連続むだ時間系の同定とそのボイラへの応用"電気学会論文誌C. 119-C・6. 724-733 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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