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APPLICATIONS OF IDENTIFICATION METHOD OF VOLTERRA KERNELS OF NONLINEAR SYSTEMS TO PRACTICAL PROCESSES

Research Project

Project/Area Number 10650435
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  FACULTY OF ENGINEERING, KUMAMOTO UNIVERSITY, PROFESSOR, 工学部, 教授 (30040380)

Co-Investigator(Kenkyū-buntansha) YAMAGUCHI Teruo  FACULTY OF ENGINEERING, KUMAMOTO UNIVERSITY, LECTURER, 工学部, 講師 (50230363)
HARADA Hiroshi  FACULTY OF ENGINEERING, KUMAMOTO UNIVERSITY, ASSOCIATE PROFESSOR, 工学部, 助教授 (90145285)
TORIGOE Ippei  FACULTY OF ENGINEERING, KUMAMOTO UNIVERSITY, ASSOCIATE PROFESSOR, 工学部, 助教授 (40134663)
SAKATA Masato  FACULTY OF ENGINEERING, KUMAMOTO UNIVERSITY, RESEARCH ASSISTANT, 工学部, 助手 (20040652)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 1999: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1998: ¥2,000,000 (Direct Cost: ¥2,000,000)
KeywordsNONLINEAR SYSTEM / IDENTIFICATION / M-SEQUENCE / VOLTERRA KERNEL / PROCESS CONTROL / CONTROL ENGINEERING / 非線システム / 相関 / メカトロサーボ / 化学プロセス / 非線形システム / ポルテラ核 / 相関法
Research Abstract

Identification of nonlinear control system is an important task for designing controller to obtain high performance of the actual processes. Although almost all control systems are strictly speaking nonlinear, the identification of nonlinear system is so far not yet well investigated. The authors have recently developed a new method of obtaining Volterra kernels of nonlinear system by use of pseudorandom M-sequence. Computer simulation showed that this identification method is effective with wide applications.
Under this Grant-in-Aid, the authors investigated the possibility of applying the author's method to two actual processes. One is the application to the identification of nonlinear mechatro-servo system; robot manipulator. We applied M-sequence to driving torque of a robot manipulator and the movement angle is measured, Taking the crosscorrelation between them, we obtain Volterra kernels of up to 3rd order. Comparison of the estimated output calculated from the obtained Volterra k … More ernels and the actual output shows a good agreement between them. This result is published in Proc. IMEKO-XV held in Osaka, Japan, in 1999 (Ref. 10). Identification of nonlinear system having backlash type nonlinearity is also investigated and the results are published in Proc. '99KACC held in Seoul, Korea, in 1999 (Ref.13).
The other application of our nonlinear identification is to the identification of nonlinear chemical processes. This time we adopted Continuous Stirred Tank Reactor (CSTR), which is known as bilinear system, as the nonlinear process to be identified. The result shows that our method of nonlinear identification is very effective for nonlinear chemical processes. This result is published in Proc. ASCC which will be held in Shanghai, China, 2000(Ref. 14). The authors also applied our method to Model Predictive Control (MPC) of nonlinear chemical process, since it is thought that when we use more accurate model for MPC of nonlinear chemical processes, the control performance would be much better compared with using inaccurate model, Simulation result shows that our method on nonlinear process identification is also effective for MPC of chemical processes. This result is published in Proc. KACC'98 held in Pusan, Korea, in l998 (Ref. 7). Less

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (38 results)

All Other

All Publications (38 results)

  • [Publications] H.Harada: "低次M系列を用いる非線形系のVolterra核の同定法"計測自動制御学会論文集. 34. 9-12 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Kashiwagi: "Model Predictive Control of Nonliner Processes by use of Volterra Kernel Model"Proc. APCCM'98 held in Dunhuang, China. 1. 193-196 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] E. Nishiyama: "A method for indetification o Multi-Input Nonlinera System by use of Volterra Kernels"Proc. APCCM'98 held in Dunhuang, China. 1. 39-42 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. KASHIWAGI: "Idetification of Volterra Kernels of Nonlinear AC Servo"Proc. APCCM'98 held in Dunhuang, China. 1. 425-429 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M.Lin: "非線形システムの偶数次及び奇数次Volterra核の分離同定"計測自動制御学会論文集. 34. 1266-1268 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 原田博之: "ボルテラ核を用いる非線形メカニカルシステムの同定"日本機械学会論文集(C編). 64. 4605-4610 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Kashiwagi: "Model Predictive Control of Nonlinear Processes by use of 2nd and 3rd Volterra Kernel Model"Proc. '98 KACC held in Pusan, Korea. 1. 451-454 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H Harada: "A Method for Separating Volterra Kernels of Nonlinear Systems by use of Different Amplitude M-sequence"Proc. '98 KACC held in Pusan, Korea. 1. 271-274 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] E. Nishiyama: "Identification of Hammerstein-type Nonlinear System"Proc. '98 KACC held in Pusan, Korea. 1. 280-284 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Kashiwagi: "A Method for Measuring Nonlinear characteristics of a Robot Manipulator"Proc. IMEKO-XV held in Osaka, Japan. 10. 101-104 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] E Nishiyama: "A New Methos for Identifying Higher Volterra Kernel Having the same Time Coordinate for nonlinear systems"Proc. '99 KACC held in Seoul, Korea. 1. 137-140 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Numata: "A Practical Method for Indentification of Nonlinear Chemical Processes by use of Kernel Model"Proc. '99 KACC held in Seoul, Korea. 1. 145-148 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] L. Rong: "Identification of Volterra Kernels of nonlinear system having Backlash type nonlinearity"Proc. '99 KACC held in Seoul, Korea. 1. 141-144 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Kashiwagi: "Idetification of Volterra Kernels of Bilinear Control System by use of M-sequence"Proc. 2000 KACC held in Shanghail, China. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H.Harada, E.Nishiyama and H.Kashiwagi: "A Method for Identifying Volterra Kernels of Nonlinear System Using Low-degree M-sequenc"Trans. SICE. 34, 0No.1. 9-12 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Kashiwagi, A.Miyoshi, L Rong, M, 0gawa and T, Itou: "Model Predictive Control of Nonlinear Processes by use of Volterra Kernel Model"Proc. APCCM' 98 held in Dunghuang China. 193-196 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] E. Nishiyama, H.Harada and H. Kashiwagi: "A Method for Identification of Multi-Input Nonlinear System by use of Volterra Kernels"Proc. APCCM' 98 held in Dunghuang China. 39-42 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Kashiwagi, U. Toyosawa, M. Sakata, E. Nishiyama and H. Hashimoto: "Identification of Volterra Kernels of Nonlinear AC Servo Motor System"Proc. APCCM' 98 held in Dunghuang China. 425-429 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M.Liu, E. Nishiyama and H. Kashiwagi: "Identification of Volterra Kernels of Nonlinear Systems by Separating Odd- and Even-Order Lernels"Trans. SICE. 34, No.9. 1266-1268 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H.Harada, E. Nishiyama and H. Kashiwagi: "Identification of Nonlinear Mechanical Systems by use of Volterra Kernels"Trans. JSME. 64, No.628. 4605-4610 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H,Kashiwagi, L.Rong, H.Harada and T.Yamaguchi: "Model Predictive Control of Nonlinear Processes by use of 2nd and 3rd Volterra Kernel Model"Proc.'98KACC held in Pusan, Korea. 451-454 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Harada, H. Kashiwagi and T, Yamaguchi: "A Method for Separating Volterra Kernels of Nonlinear Systems by use of Different Amplitude M-sequence"Proc.'98KACC held in Pusan, Korea. 271-274 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] E.Nishiyama, H.Harada and H.Kashiwagi: "Identification of Hammerstein-type Nonlinear System"Proc. '98KACC held in Pusan, Korea. 280-284 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] E.Nishiyama, H.Harada and H.Kashiwagi: "A Method for Measuring Nonlinear Characteristics of a Robot Manipulator"Proc. IMEKO-XV(15th World Congress of International Measurement Confederation) held in 0saka, Japan. 10. 101-104 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] E.Nishiyama, H.Harada, L.Rong and H.Kashiwagi: "A New method for Identifying Higher Volterra Kernel Having the Same Time Coordinate for Nonlinear Systems"Proc. KACC'99 held in Seoul, Korea. 137-140 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M.Numata, H.Kashiwagi and H.Harada: "A Practical Method for Identification of Nonlinear Chemical Processes by use of Volterra Kernel Model"Proc. KACC'99 held in Seoul, Korea. 145-148 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] L.Rong, H.Kashiwagi and H.Harada: "Identification of Volterra Kernels of Nonlinear System having Backlash type Nonlinearity"Proc. KACC'99 held in Seoul, Korea. 141-144 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H.Kashiwagi, Li Rong, H.Harada and M.Numata: "Identification of Volterra Kernels of Bilinear Control System by use of M-sequence"Proc. ASCC'2000 held in Shanghai, China July. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H.Kashiwagi,H.Harada and T.Yamaguchi: "A Method for measuring Nonlinear Characteristics of a Robot Manipulator"Proc.IMEKO-XV held.in Osaka. Vol.10. 101-104 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] L.Rong,H.Kashiwagi and H.Harada: "Identification of Voltena Kernels of Nonlinear System having Backlash type Nonlinearity"Proc.KACC'99 held in Seoul,Korea. 1. 141-144 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Numata,H.Kashiwagi and H.Harada: "A practical Method for Identification of Nonlinear Chemical Processes by use of Volterra Kernel Model"Proc.KACC'99 held in Seoul,Korea. 1. 145-148 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] E.Nishiyama,H.Harada,L.Rong and H.Kashwagi: "A New Method for identifying Higher Volterra Kernel Having the same time coordinate for nonlinear systems"Proc.KACC'99 held in Seoul,Korea. 1. 137-140 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 原田博之: "低次M系列を用いる非線形系のVolterra核の同定法" 計測自動制御学会論文集. 34.1. 9-12 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Kashiwagi: "Model Predictive Control of Nonlinear Processes by use of Volterra Kernel Model." Proc. APCCM'98 held in Dunhuang China. 193-196 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] E.Nishiyama: "A Method for Identification of Multi-Input Nonlinear System by use of Volterra Kernels" Proc. APCCM'98 held in Dunhuang China. 39-42 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Kashiwagi: "Identification of Volterra Kernels of NonlinearAC Servo Motor System" Proc. APCCM'98 held in Dunhuang China. 426-430 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 劉 民: "非線形システムの偶数次及び奇数次Volterra核の分離同定" 計測自動制御学会論文集. 34・9. 1266-1268 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 原田博之: "ボルテラを用いる非線形メカニカルシステムの同定" 日本機会学会論文集C編. 64・628. 4605-4610 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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