• DocumentCode
    1744222
  • Title

    Gap metrics, representations, and nonlinear robust stability

  • Author

    James, M.R. ; Smith, M.C. ; Vinnicombe, G.

  • Author_Institution
    Dept. of Eng., Australian Nat. Univ., Canberra, ACT, Australia
  • Volume
    3
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    2936
  • Abstract
    Various alternative definitions for the nonlinear L2 and ν-gap metrics are studied. The concept of β-conjugacy and multiplicative homogeneity are introduced to relate the metrics to each other and to compare the stability margins of nonlinear feedback loops expressed in terms of the norms of complementary parallel projections. Left and right representations for the graph of a nonlinear system are studied. A new definition of “normalized” is introduced for left representations. Formulas for the gap metrics as the norm of the product of left and right representations are derived
  • Keywords
    control system synthesis; feedback; nonlinear control systems; robust control; uncertain systems; β-conjugacy; gap metrics; left representations; multiplicative homogeneity; nonlinear feedback loops; nonlinear robust stability; right representations; stability margins; Australia; Concurrent computing; Ear; Feedback loop; Image generation; Kernel; Nonlinear systems; Robust control; Robust stability; Robustness;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
  • Conference_Location
    Sydney, NSW
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-6638-7
  • Type

    conf

  • DOI
    10.1109/CDC.2000.914262
  • Filename
    914262
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1744222