• DocumentCode
    2477794
  • Title

    Exact Differentiation of Signals with Unbounded Higher Derivatives

  • Author

    Levant, Arie

  • Author_Institution
    Sch. of Math. Sci., Tel-Aviv Univ.
  • fYear
    2006
  • fDate
    13-15 Dec. 2006
  • Firstpage
    5585
  • Lastpage
    5590
  • Abstract
    The proposed arbitrary-order differentiator based on high-order sliding modes is generalized to ensure exact robust nth-order differentiation of signals with a given functional bound of the (n + 1)th derivative. The asymptotic accuracies in the presence of noises and discrete sampling are estimated. The results are applicable for the global observation of system states when the dynamics is unbounded. Computer simulation confirms the applicability of the differentiator
  • Keywords
    differential equations; signal sampling; variable structure systems; arbitrary-order differentiator; discrete sampling; high-order sliding modes; signal differentiation; unbounded higher derivatives; Computer simulation; Control theory; Convergence; Filtration; H infinity control; Noise robustness; Robust control; Sampling methods; Sliding mode control; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2006 45th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • Print_ISBN
    1-4244-0171-2
  • Type

    conf

  • DOI
    10.1109/CDC.2006.377165
  • Filename
    4177719