• DocumentCode
    1430394
  • Title

    Generalized controlled invariance for discrete-time nonlinear systems with an application to the dynamic disturbance decoupling problem

  • Author

    Aranda-Bricaire, E. ; Kotta, Ü

  • Author_Institution
    Dept. de Ingenieria Electr., CINVESTAV-IPN, Mexico City, Mexico
  • Volume
    46
  • Issue
    1
  • fYear
    2001
  • fDate
    1/1/2001 12:00:00 AM
  • Firstpage
    165
  • Lastpage
    171
  • Abstract
    In analogy with the continuous-time case, a general notion of controlled invariance with respect to quasi-static-state feedback is introduced for discrete-time nonlinear systems which incorporates the earlier definition of controlled invariance with respect to regular static-state feedback. This new notion is used to derive a geometric solution to the dynamic disturbance decoupling problem. The proposed solution is a natural generalization of the geometric solution to the static disturbance decoupling problem
  • Keywords
    discrete time systems; geometry; invariance; nonlinear control systems; state feedback; discrete-time nonlinear systems; dynamic disturbance decoupling problem; generalized controlled invariance; geometric solution; regular static-state feedback; Automatic control; Control systems; Feedback; Linear systems; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Stability; Sufficient conditions; Three-term control;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.898712
  • Filename
    898712