• DocumentCode
    2827578
  • Title

    A composite circle criterion

  • Author

    Materassi, D. ; Innocenti, G. ; Genesio, R. ; Basso, M.

  • Author_Institution
    Univ. di Firenze, Florence
  • fYear
    2007
  • fDate
    12-14 Dec. 2007
  • Firstpage
    4459
  • Lastpage
    4464
  • Abstract
    The paper deals with the classical problem of the absolute stability in a SISO Lur´e system. The circle criterion is applied to different overlapping sectors and then, for all the functions in the ´union sector´, a set of constraints is defined, so that they make globally asymptotically stable the closed loop system. The conclusion is that in every sector, such that can be covered by subsectors the circle criterion can be applied to, it is possible to define a class of nonlinearities, which solve the absolute stability problem.
  • Keywords
    asymptotic stability; closed loop systems; nonlinear control systems; SISO Lur´e system; absolute stability; circle criterion; closed loop system; globally asimptotically stable; Automatic control; Closed loop systems; Control systems; Control theory; Feedback; Kalman filters; Stability criteria; Sufficient conditions; Time varying systems; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2007 46th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-1497-0
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2007.4434762
  • Filename
    4434762