Identification of Linear System with Time Delay and Unknown Order

• Harada Kenichi

  Hiroshima City University

• Kobayashi Yasuhide

  Hiroshima City University

• Okita Tsuyoshi

  Hiroshima City University

Bibliographic Information

Other Title

• むだ時間を含む階数未知な線形系の同定
• ムダジカン オ フクム カイスウ ミチ ナ センケイケイ ノ ドウテイ

Abstract

This paper proposes the system identification method for linear system with time delay and unknown order. We hypothesize some candidate models which have different order, because system order is unknown. In each model, we estimate the model's parameters based on maximum likelihood method by using non-linear optimization technique. Then both local optimization technique and global search method are used because the estimated parameters may fall into local minimum. After all candidate model's parameters are estimated, one model is selected among these models to estimate system order by using a posteriori probability based on Bayes' theorem. Finally, the validity of proposed method is shown by numerical example.

Journal

• IEEJ Transactions on Electronics, Information and Systems

  IEEJ Transactions on Electronics, Information and Systems 122 (6), 957-963, 2002

  The Institute of Electrical Engineers of Japan

Keywords

• Time delay
• Unkown order
• System identification
• Parameter estimation
• Global minimization

Details

• CRID: 1390282679586503680
• NII Article ID: 130006845113
• NII Article ID: 10008509025
• NII Book ID: AN10065950
• DOI: 10.1541/ieejeiss1987.122.6_957
• ISSN: 13488155
• ISSN: 03854221
• NDL BIB ID: 6174840
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6174840
• Web Site: https://www.jstage.jst.go.jp/article/ieejeiss1987/122/6/122_6_957/_pdf
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed