Identification of Discrete Nonlinear Systems via Chebyshev Polynomials and its Error Bound

• Takata Hitoshi

  Kagoshima University

• Shingu Tadatoshi

  Kagoshima University

• Hachino Tomohiro

  Kagoshima University

Bibliographic Information

Other Title

• チェビシェフ多項式を用いた離散型非線形システム同定とその誤差限界
• チェビシェフ タコウシキ オ モチイタ リサンガタ ヒセンケイ システム ドウテイ ト ソノ ゴサ ゲンカイ

Abstract

In this paper, we propose an identification method of discrete nonlinear systems using Chebyshev polynomials. A nonlinear function of a given system is assumed to be represented by a linear combination of some Chebyshev polynomials. Each coefficient of the Chebyshev polynomials is easily evaluated by the least squares method. An error bound of the identification is estimated under an assumption of measurement errors being negligible small. Numerical examples show that the accuracy of this identification for nonlinear systems is considerably well improved as the order of the Chebyshev polynomials is increased.

Journal

• IEEJ Transactions on Electronics, Information and Systems

  IEEJ Transactions on Electronics, Information and Systems 119 (3), 296-302, 1999

  The Institute of Electrical Engineers of Japan

Keywords

• 同定
• 非線形システム
• チェビシェフ多項式
• 誤差限界

Details

• CRID: 1390282679588158336
• NII Article ID: 130006845953
• NII Article ID: 10002816355
• NII Book ID: AN10065950
• DOI: 10.1541/ieejeiss1987.119.3_296
• ISSN: 13488155
• ISSN: 03854221
• NDL BIB ID: 4663572
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4663572
• Web Site: https://www.jstage.jst.go.jp/article/ieejeiss1987/119/3/119_3_296/_pdf
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  • CiNii Articles
• Abstract License Flag: Disallowed