• DocumentCode
    3174323
  • Title

    Finite-time output stabilization of the double integrator

  • Author

    Bernuau, Emmanuel ; Perruquetti, W. ; Efimov, D. ; Moulay, Emmanuel

  • Author_Institution
    Ecole Centrale de Lille, Univ. Lille Nord de France, Villeneuve-d´Ascq, France
  • fYear
    2012
  • fDate
    10-13 Dec. 2012
  • Firstpage
    5906
  • Lastpage
    5911
  • Abstract
    The problem of finite-time output stabilization of the double integrator is addressed applying the homogeneity approach. A homogeneous controller and a homogeneous observer are designed (for different degree of homogeneity) ensuring the finite-time stabilization. Their combination under mild conditions is shown to stay homogeneous and finite-time stable as well. The efficiency of the obtained solution is demonstrated in computer simulations.
  • Keywords
    observers; stability; double integrator; finite-time output stabilization; homogeneity approach; homogeneity degree; homogeneous controller; homogeneous observer; Asymptotic stability; Convergence; Observers; Output feedback; Stability analysis; Trajectory; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
  • Conference_Location
    Maui, HI
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4673-2065-8
  • Electronic_ISBN
    0743-1546
  • Type

    conf

  • DOI
    10.1109/CDC.2012.6426565
  • Filename
    6426565
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3174323