• DocumentCode
    294313
  • Title

    A generalized normal form and its application to sliding mode control

  • Author

    Fortell, Håkan

  • Author_Institution
    Dept. of Electr. Eng., Linkoping Univ., Sweden
  • Volume
    1
  • fYear
    1995
  • fDate
    13-15 Dec 1995
  • Firstpage
    13
  • Abstract
    In this paper it is shown how a normal form, corresponding to that of affine state space systems, can be calculated for a dynamics defined in the differential algebraic framework. The construction of the normal form is based on a generalization of the Lie derivative where the state derivatives are eliminated using Grobner bases. It is also shown how the generalized normal form can be used in the context of sliding mode control
  • Keywords
    Lie algebras; differential equations; dynamics; state-space methods; variable structure systems; Grobner bases; Lie derivative; affine state space systems; differential algebra; dynamics; generalized normal form; sliding mode control; state derivatives; Algebra; Control systems; Displays; Equations; Polynomials; Sliding mode control; State-space methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-2685-7
  • Type

    conf

  • DOI
    10.1109/CDC.1995.478559
  • Filename
    478559