Robust Stability Evaluation of Feedback Control Systems with a Sector Nonlinearity in a Gain-Phase Plane

• OKUYAMA Yoshifumi

  Faculty of Engineering, Tottori University

• CHEN Hong

  Faculty of Engineering, Tottori University

• TAKEMORI Fumiaki

  Faculty of Engineering, Tottori University

抄録

This paper describes a graphical evaluation of the robust stability in a frequency domain based on the results from our previous papers in which Popov's criterion was expressed in an explicit form. The control system described herein is a feedback system with one time-invariant nonlinear element (a sector nonlinearity) in the forward path. Considering the application to a computer-aided control system design, we will present an evaluation method of the robust stability in connection with the size of sector nonlinearity and the gain margin on a gain-phase diagram (i.e., a modified Nichols chart). We will show two results as numerical examples: one is where Aizerman's conjecture was approved, and the other is where it was not.

収録刊行物

• 計測自動制御学会論文集

  計測自動制御学会論文集 34 (12), 1839-1844, 1998

  公益社団法人 計測自動制御学会

キーワード

• robust stability
• nonlinearity
• Popov criterion
• gain margin
• Nichols chart

詳細情報

• CRID: 1390001204500919936
• NII論文ID: 130003970723
• NII論文ID: 10002480491
• NII書誌ID: AN00072392
• DOI: 10.9746/sicetr1965.34.1839
• ISSN: 18838189
• ISSN: 04534654
• NDL書誌ID: 108359
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I108359
• Web Site: https://www.jstage.jst.go.jp/article/sicetr1965/34/12/34_12_1839/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可