• DocumentCode
    1340211
  • Title

    On the computation of the induced L2 norm of single-input linear systems with saturation

  • Author

    Romanchuk, B.G.

  • Author_Institution
    McGill Univ., Montreal, Que., Canada
  • Volume
    43
  • Issue
    2
  • fYear
    1998
  • fDate
    2/1/1998 12:00:00 AM
  • Firstpage
    262
  • Lastpage
    268
  • Abstract
    In this paper, a means of determining an upper bound of the induced L2 norm for a class of single-input linear systems with saturation is given in terms of the existence of a candidate function which satisfies three differential inequalities. A technique to calculate such a function for systems with linear controllers is also developed
  • Keywords
    H control; closed loop systems; controllability; nonlinear control systems; observability; stability; H control; closed loop systems; controllability; finite gain stability; induced L2 norm; nonlinear systems; observability; saturating systems; single-input linear systems; upper bound; Adaptive control; Automatic control; Backstepping; Control systems; Linear systems; Lyapunov method; Robust control; State feedback; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.661078
  • Filename
    661078