• DocumentCode
    2581185
  • Title

    A Bounded Real Lemma for nonlinear ℒ2-gain

  • Author

    Zhang, Huan ; Dower, Peter M. ; Kellet, Christopher M.

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia
  • fYear
    2010
  • fDate
    15-17 Dec. 2010
  • Firstpage
    2729
  • Lastpage
    2734
  • Abstract
    The well-known Bounded Real Lemma plays a key role in ℒ2-gain based control methods such as H control for both linear and nonlinear systems. Recently, conventional (linear) ℒ2-gain concepts have been generalized to the nonlinear ℒ2-gain framework to encompass a larger class of systems. A bounded real lemma has been developed corresponding to this generalized notion of nonlinear ℒ2-gain.
  • Keywords
    H control; gain control; nonlinear control systems; H control; bounded real lemma; linear systems; nonlinear ℒ2-gain; nonlinear systems; Asymptotic stability; Gain; Linear systems; Nonlinear systems; Stability criteria; Viscosity; ℒ2-gain; bounded real lemma; dissipative systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2010 49th IEEE Conference on
  • Conference_Location
    Atlanta, GA
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4244-7745-6
  • Type

    conf

  • DOI
    10.1109/CDC.2010.5717971
  • Filename
    5717971