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On identification of Volterra kernels of nonlinear systems by separating kernel slices

Research Project

Project/Area Number 14550449
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionKumamoto University

Principal Investigator

KASHIWAGI Hiroshi  Kumamoto University, Dept. of Mechanical Eng., Professor, 工学部, 教授 (30040380)

Co-Investigator(Kenkyū-buntansha) HARADA H.  Kumamoto University, Dept. of Mechanical Eng., Professor, 工学部, 教授 (90145285)
Project Period (FY) 2002 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 2003: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2002: ¥1,700,000 (Direct Cost: ¥1,700,000)
KeywordsNonlinear system / Identification / Volterra kernel / M-sequence / Correlation technique / Model Predictive Control / Process control / M系列 / 非形システム / 信号処理 / 相関法
Research Abstract

The authors have recently developed a new method for obtaining Volterra kernels of nonlinear system by use of a pseudorandom M-sequence. In this method, the most important problem is how to separate overlapped kernel slices which appear in the crosscorrelation. The authors have investigated two methods for separating those kernel slices : one is the suitable selection of M-sequence, and the other is amplitude variation method. We have obtained the following results.
(1)On considering the fact that when the amplitude of the input M-sequence is changed, the amplitude of the output from n'th order Volterra kernel varies, we have obtained the method for separating overlapped Volterra kernel slices. The simulation shows that this method is useful.
(2)This method is applied to a chemical process, and the result was presented at AdCONIP held in Kumamoto in June 2002.
(3)This method was also presented at APCCM'2000 held in Dali, China in August 2002.
(4)The general idea of identification of nonlinear system is presented at ICSE held in Coventry, UK, in September 2003.
(5)This method is applied to Nonlinear Model Predictive Control, and the results are presented at ICCAS'03 held in Gyoungju, Korea, in October 2003.
(6)The application of this method to Nonparametric Nonlinear Model Predictive Control appeared in Krean J.Chem.Eng. in 2004
This method is considered to be widely usable in nonlinear industrial control systems.

Report

(3 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • Research Products

    (18 results)

All Other

All Publications (18 results)

  • [Publications] H.Kashiwagi, H.Harada, L.Rong: "Identification of Third Order Volterra Kernels of Nonlinear Chemical Processes"Proc.AdCONIP held in Kumamoto, Japan. 411-416 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Kashiwagi, H.Harada, L.Rong: "Separation of overlapped Volterra Kernel Slices for Nonlinear System Identification"Proc.APCCM held in Dali, China. 18-23 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Kashiwagi, H.Harada: "Identification of Nonlinear Characteristics of a Control System by use of M-sequence and Correlation Technique"Proc.ICSE held in Coventry, UK. 326-331 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Kashiwagi, Y.Li: "Nonparametric Nonlinear Model Predictive Control"Proc.ICCAS held in Gyoungju, Korea. 1443-1448 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Kashiwagi, Y.Li: "Nonparametric Nonlinear Model Predictive Control"Korean J.Chem.Eng.. 21. 329-337 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Kashiwagi, H.Harada, L.Rong: "Identification of Third Order Volterra Kernels of Nonlinear Cfhemical Processes"Proc. AdCONIP held in Kumamoto, Japan. 411-416 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Kashiwagi, H.Harada, L.Rong: "Separation of Overlapped Volterra Kernel Slices for Nonlinear System Identification"Proc. APCCM2002 held in Dali, China. 18-22 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Kashiwagi, H.Harada: "Identification of Nonlinear Characteristics of a Control System by use of M-sequence and Correlation Technique"Proc. ICSE held in Coventry, UK. 326-331 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Kashiwagi, Y.Li: "Nonparametric Nonlinear Model Predictive Control"Proc. ICCAS2003 held in Gyoungju, Korea. 1443-1448 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Kashiwagi, Y.Li: "Nanparametric Nonlinear Model Predictive Control"Korean J.Chem.Eng.. Vol.21, No.2. 329-337 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Kashiwagi, H.Harada: "Identification of Nonlinear Characteristics of a Control System by use of M-sequence and Correlation Technique"Proc.ICSE held in Coventry, UK. 326-331 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Kashiwagi, Y.Li: "Nonparametric Nonlinear Model Predictive Control"Proc.ICCAS held in Gyoungju, Korea. 1443-1448 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Kashiwagi, Y.Li: "Nonparametric Method for Nonlinear System Identification"Proc.AROB held in Beppu, Japan. 41-44 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Kashiwagi, H.Harada, L.Rong: "Identification of Third Order Volterra Kernels of Nonlinear Chemical Processes"Proc. AdCONIP held in Kumamoto, Japan. 411-416 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Numata, H.Kashiwagi, H.Harada: "Extension of linear identification to nonlinear by use of Volterra kernel method"Proc. AdCONIP held in Kumamoto, Japan. 405-410 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Harada, H.Kashiwagi, K.Terasaki, T.Yamaguchi: "Identification of Nonlinear Vibration System by use of M-sequenoe"Proc. AdCONIP held in Kumamoto, Japan. 359-362 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Kashiwagi, H.Harada, L.Rong: "Separation of Overlapped Volterra Kernel Slices for Nonlinear System Identification"Proc. APCCM heldin Dali, China. 18-23 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Kashiwagi, H.Harada, T.Yamaguchi, T.Andoh: "Properties of Two-dimensional M-transform with Applications to Image Processing"Proc. ICCAS2002 held in Muju, Korea. (CD-ROM). (2002)

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2016-04-21  

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