• DocumentCode
    3194901
  • Title

    A class of nonlinear robust H∞ controllers via NLMI approach

  • Author

    Ishii, Chiharu ; Shen, Tielong ; Tamura, Katsutoshi

  • Author_Institution
    Dept. of Mech. Eng., Sophia Univ., Tokyo, Japan
  • Volume
    4
  • fYear
    1996
  • fDate
    11-13 Dec 1996
  • Firstpage
    3800
  • Abstract
    In this paper, we consider a state feedback H∞, control problem for a nonlinear system with gain bounded perturbations. We derive nonlinear matrix inequality (NLMI) conditions which are equivalent to a sufficient condition for the existence of a solution of a nonlinear robust H∞ control problem. Then a set of a certain class of nonlinear robust H∞ controllers is parametrized in the state space using a matrix valued function L(x) of fixed dimension with a norm bound and the positive definite solutions to the NLMIs
  • Keywords
    H∞ control; matrix algebra; nonlinear control systems; robust control; state feedback; NLMI approach; gain bounded perturbations; matrix valued function; nonlinear matrix inequality; nonlinear robust H∞ controllers; nonlinear system; norm bound; positive definite solutions; state feedback H∞ control problem; state space; sufficient condition; Linear matrix inequalities; Robust control; Uncertain systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
  • Conference_Location
    Kobe
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-3590-2
  • Type

    conf

  • DOI
    10.1109/CDC.1996.577241
  • Filename
    577241