Relation Between <i>H</i>^∞ Problem and Passivity Problem in Nonlinear Control Systems

• SAKAMOTO Noboru

  Faculty of Engineering, Nagoya University

• SUZUKI Masayuki

  Faculty of Engineering, Nagoya University

Bibliographic Information

Other Title

• 非線形<i>H</i>^∞問題とシステムの受動化の関係
• 非線形H∞問題とシステムの受動化の関係
• ヒセンケイ H モンダイ ト システム ノ ジュドウカ ノ カンケイ
• Relation Between H^|^infin; Problem and Passivity Problem in Nonlinear Control Systems

Abstract

In this research, the relation between passive systems and finite gain systems are considered, and in the view point of this the equivalence between solving nonlinear H^∞ problems and finding the feedback which renders a nonlinear system passive is shown. First the state space representation of Cayley-transform (H-I) (H+I)^-1 of a nonlinear operator H and that of its inverse transformation are proposed. Next Cayley-transform is extended to the case of general control systems.

Journal

• Transactions of the Society of Instrument and Control Engineers

  Transactions of the Society of Instrument and Control Engineers 31 (6), 728-735, 1995

  The Society of Instrument and Control Engineers

Keywords

• finite gain system
• passive system
• nonlinear <i>H</i>^∞ problem
• passivity problem
• Cayley-transform

Details

• CRID: 1390282679478580096
• NII Article ID: 10002484448
• NII Book ID: AN00072392
• DOI: 10.9746/sicetr1965.31.728
• ISSN: 18838189
• ISSN: 04534654
• NDL BIB ID: 3607255
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I3607255
• Web Site: https://www.jstage.jst.go.jp/article/sicetr1965/31/6/31_6_728/_pdf
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed