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Identification of Feedback Control Systems by Subspace Methods

Research Project

Project/Area Number 13650485
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

KATAYAMA Tohru  Kyoto University, Graduate School of Informatics, Professor, 情報学研究科, 教授 (40026175)

Co-Investigator(Kenkyū-buntansha) TANAKA Hideyuki  Kyoto University, Graduate School of Informatics, Research Associate, 情報学研究科, 助手 (90303883)
TAKABE Kiyotsugu  Kyoto University, Graduate School of Informatics, Associate Professor, 情報学研究科, 助教授 (30236343)
Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2002: ¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 2001: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsSubspace methods / Stochastic realization / Feedback control systems / System identification / OR decomposition / Singular value decomposition / SVD / 直交分解 / QR法
Research Abstract

Identification problems for linear systems operating in closed-loop have received much interest in the literature, since closed-loop experiments are necessary if the open-loop plant is unstable, or the feedback is an inherent mechanism of a system. We have obtained the following results.
1. We have shown that the identification of deterministic part of a closed loop system is completely decoupled from that of stochastic part by a preliminary orthogonal decomposition of the joint input-output processes into stochastic and deterministic components. Also, we have derived a method for obtaining the plant transfer function by applying a subspace identification method to the deterministic component of the joint process.
2. We have analyzed two closed loop identification methods : the one is the two-stage prediction error method based on the least-squares method, and the other is a subspace identification method based on the orthogonal decomposition. A bootstrap method is applied to estimate the standard error of identified models. Simulation results are included to show that accurate estimates of standard deviation are obtained.
3. Under the assumption that one of the exogenous inputs is purely-deterministic and the other is purely non-deterministic, we have developed a subspace method for identifying a closed loop system based on the realization results for stochastic systems with exogenous inputs. The present method can be used for identification of transfer functions of plant and controller. Numerical results show that the orthogonal decomposition-based algorithm gives better results over other subspace identification algorithms.
4. Subspace identification methods are applied to a PID control system and a distillation column in a chemical industry with considerable success. Some results are presented at International Symposium on Advance Control of Industrial Processes, at Kumamoto (2002).

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (17 results)

All Other

All Publications (17 results)

  • [Publications] T.Katayama: "A Subspace Identification of Deterministic Part of State Space Model Operating in Closed Loop"Proc.European Control Conference 2001, Porto. 2505-2510 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Inoue: "A Comparison of Two Identification Methods for Closed Loop System"Proc.33^<rd> ISCIE Int.Symposium on Stochastic Theory and its Applications. 228-233 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] G.Emoto: "Industrial Applications of Subspace Identification Methods"Proc.1^<st> Symp.on Advanced Control of Industrial Processes. 321-326 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Katayama: "Subspace Identification of Closed Loop Systems by Stochastic Realization"Preprints 15^<th> IFAC World Congress. (CD-ROM). (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 片山 徹: "直交分解に基づく実現理論と部分空間同定法"システム/制御/情報. 46・7. 409-417 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T. Katayama: "A subspace Identification of Deterministic Part of State Space Model Operating in Closed Loop"Proc. 2001 European Control Conference. 2505-2510 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T. Inoue: "A Comparison of Two Identification Methods for Closed Loop System"Proc. 33^<rd> ISCIE Int. Symp. Stochastic Theory & Applications. 228-233 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] G. Enomoto: "Industrial Applications of Subspace Identification Methods"Proc. 1^<st> Symp. On Advanced Control of Industrial Processes. 321-326 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T. Katayama: "Subspace Identification of Closed Loop Systems by Stochastic Realization"Preprints 15^<th> IFAC World Congress. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T. Katayama: "Stochastic Realization and Subspace Identification Method by Orthogonal Decomposition"Journal of Inst, of Systems, Control and Information Eng. 46-7. 409-417 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] G.Emoto: "Industrial Applications of Subspace Identification Methods"Proc. Int. Symp. Advanced Control of Industrial Processes. 321-326 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Katayama: "Subspace Identification of Closed Loop Systenis by Stochastic Realization"Preprints 15th IFAC World Congress. (CD-ROM). (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 片山 徹: "直交分解に基づく実現理論と部分空間同定法"システム/制御/情報. 46・7. 409-417 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Ishihara: "Blind Identification Algorithms by Oblique Projection"Proc. 4th Asian Control Conference. 1236-1241 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Katayama: "A Subspace Identification of Deterministic Part of State Space Model Operating in Closed Loop"Proc. European Control Conference 2001, Porto. 2505-2510 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Inoue: "A Comparison of Two Identification Methods for Closed Loop System"Abstracts. 33rd ISCIE Int. Symp. Stochastic Systems Theory and its Applications, Ashikaga. 85-86 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Katayama: "A Subspace Identification of Closed-Loop System by Orthogonal Decomposition Method"Proc. 40th IEEE Conference on Decision and Control, Orlando. 3922-3923 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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