• DocumentCode
    404525
  • Title

    Immersion of nonlinear systems into linear systems modulo output injection

  • Author

    Jouan, Philippe

  • Author_Institution
    CNRS UMR, Rouen Univ., Mont Saint Aignan, France
  • Volume
    2
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    1476
  • Abstract
    This paper deals with the problem of the immersion of a SISO system into a linear up to an output injection one. For this class of systems Luenberger-like observers can be designed: the dynamics of the error between the states of the observer and the immersed controlled system is linear. Necessary and sufficient conditions are first stated within a very-general framework. Effective computations and examples are then provided for uncontrolled and control-affine systems. In particular the control-affine case is completely (with a very slight restriction) solved.
  • Keywords
    control system analysis; linear systems; nonlinear control systems; observers; Luenberger-like observers; SISO system; control-affine systems; linear systems; nonlinear systems; output injection; uncontrolled systems; Control systems; Differential equations; Error correction; Linear systems; MIMO; Nonlinear control systems; Nonlinear systems; State-space methods; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1272820
  • Filename
    1272820