• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Basic research on subspace identification method for practical use

Research Project

Project/Area Number 11650451
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

WADA Kiyoshi  Faculty of Information Science and Electrical Engineering, Professor, システム情報科学研究院, 教授 (60125127)

Co-Investigator(Kenkyū-buntansha) IMAI Jun  Okayama University, Faculty of Engineering, Lecture, 工学部, 講師 (50243986)
Project Period (FY) 1999 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2000: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1999: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsSystem Identification / MIMO System Identification / State Space Model / Subspace Identification / Recursive Algorithm / Structure Index / 遂次計算アルゴリズム / 部分空間法 / Schur complement / 多変数系 / 双一次変換
Research Abstract

For state space model identification of MIMO systems, the methods may be used for estimating impulse response from input-output data, then constructing Hankel matrix and deriving the state space model by Ho-Kalman's realization algorithm or Kung's realization algorithm based on singular value decomposition. But it is difficult to get highly accurate impulse response estimates of MIMO system from input-output data. Also, there is a problem that appropriate structure indices have to be decided for estimating the coefficient matrix of difference equation from input-output data and deriving the state space model.
Subspace-based state space system identification methods directly realize system matrices (A,B,C,D) of state space model from input-output data without intermediate expression, such as impulse responses or difference equations. The methods are essentially suitable for MIMO systems and therefore have attracted much attention as strong identification methods instead of traditional identification methods based on linear regression equations.
In this research, the following studies on subspace identification methods are carried out for practical use: 1) Packaging the software of various continuous-time system identification methods, and comparing various identification methods by this software package. 2) Developing a modeling method for robust control. 3) Proposing consistent estimation methods based on bias-compensation principal. 4) Presenting a recursive calculation algorithm of subspace identification. 5) Extension of subspace identification method to continuous-time systems and nonlinear systems.

Report

(5 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (19 results)

All Other

All Publications (19 results)

  • [Publications] Y.Takei et al.: "Recursive computation for subspace identification methods"九州大学大学院システム情報科学研究報告. 5. 19-24 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Takei, et al.: "State space model identification using subspace extraction via Schur compliment"Trans. IEE of Japan. 121-C・1. 290-295 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Takei, et al.: "Recursive subspace identification based on rank-k modification"Proceedings of the 33^<rd> ISCIE International Symposium on Stochastic Systems Theory and Its Applications. 210-215 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] L.J.Jia, et al.: "An indirect method for closed-loop system identification"Proceedings of the 34^<th> ISCIE International Symposium on Stochastic Systems Theory and Its Applications. (掲載決定). (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Takei, et al.: "Subspace identification for error-in-variables models using Schur complement approach"Proceedings of the 34^<th> ISCIE International Symposium on Stochastic Systems Theory and Its Applications. (掲載決定). (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] C.Dachapak, et al.: "Kernel principal component regression in reproducing kernel Hilbert space"Proceedings of the 34^<th> ISCIE International Symposium on Stochastic Systems Theory and Its Applications. (掲載決定). (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Takei, et. al.: "Recursive computation for subspace identification methods"Research Reports on Information Science and Electrical Engineering. 5. 19-24 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Takei, et. al.: "State space model identification using subspace extraction via Schur compliment"Trans. IEE of Japan. 121-C.1. 290-295 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Takei, et. al.: "Recursive subspace identification based on rank-k modification"Proceedings of the 33^<rd> ISCIE International Symposium on Stochastic Systems Theory and Its Applications. 210-215 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] L.J. Jia, et. al.: "An indirect method for closed-loop system identification"Proceedings of the 34^<th> ISCIE International Symposium on Stochastic Systems Theory and Its Applications. in press. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Takei, et. al.: "Subspace identification for error-in-variables models using Schur complement approach"Proceedings of the 34^<th> ISCIE International Symposium on Stochastic Systems Theory and Its Applications. in press. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] C. Dachapak, et. al.: "Kernel principal component regression in reproducing kernel Hilbert space"Proceedings of the 34^<th> ISCIE International Symposium on Stochastic Systems Theory and Its Applications. in press. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] L.J.Jia: "An indirect method for closed-loop system identification"Proc. of the 34th ISCIE International Symposium on Stochastic Systems Theory and Its Applications. (印刷中). (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Takei: "Subspace identification for error-in-variables models using Schur complement approach"Proc. of the 34th ISCIE International Symposium on Stochastic Systems Theory and Its Applications. (印刷中). (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] C.Dachapak: "Kernel principal component regression in reproducing kernel Hilbert space"Proc. of the 34th ISCIE International Symposium on Stochastic Systems Theory and Its Applications. (印刷中). (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Yoshinori TAKEI, et al.: "State space model identification using subspace extraction via Schur compliment"Trans. IEE of Japan. 121-C・1. 290-295 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Yoshinori TAKEI, et al.: "Recursive subspace identification based on rank-k modification"Procedings of the 33th ISCIE internetional sysmposium on stochastic systems theory and its applications. (掲載決定). (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Takei,J.Imai,K.Wada: "Recursive computation for subspace identification methods"九州大学大学院システム情報科学研究科報告. 5. 19-24 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Y.Takei,J.Imai,K.Wada: "State space model identification using subspace extraction via Schur complement"電気学会論文誌C(電子・情報・システム部門誌). 121-C. 290-295 (2000)

    • Related Report
      2000 Annual Research Report

URL: 

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

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi