• DocumentCode
    3455441
  • Title

    The Zames-Falb IQC for critically stable systems

  • Author

    Jonsson, U. ; Megretski, A.

  • Author_Institution
    Lab. for Inf. & Decision Syst., MIT, Cambridge, MA, USA
  • Volume
    6
  • fYear
    1998
  • fDate
    21-26 Jun 1998
  • Firstpage
    3612
  • Abstract
    A feedback interconnection of a neutrally stable linear time-invariant system and a nonlinearity with 0⩽ xφ(x)⩽kx 2 is called critical since the worst case linearization is at best neutrally stable. This makes the stability analysis of such systems particularly hard. It will be shown that an integrator and a sector bounded nonlinearity can be encapsulated in a bounded operator that satisfies several useful integral quadratic constraints. This gives powerful tools for stability analysis of critically stable systems
  • Keywords
    control nonlinearities; control system analysis; feedback; linearisation techniques; stability; LTI system; Zames-Falb IQC; bounded operator; critically stable systems; feedback interconnection; integral quadratic constraints; neutral stability; neutrally stable linear time-invariant system; nonlinearity; stability analysis; worst case linearization; Actuators; Control systems; Ear; Feedback; Integral equations; Laboratories; Pi control; Robust control; Stability analysis; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1998. Proceedings of the 1998
  • Conference_Location
    Philadelphia, PA
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-4530-4
  • Type

    conf

  • DOI
    10.1109/ACC.1998.703286
  • Filename
    703286
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3455441