• DocumentCode
    794232
  • Title

    A sufficiently smooth projection operator

  • Author

    Cai, Z. ; de Queiroz, M.S. ; Dawson, D.M.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Univ. of Iowa, Iowa City, IA, USA
  • Volume
    51
  • Issue
    1
  • fYear
    2006
  • Firstpage
    135
  • Lastpage
    139
  • Abstract
    In this note, we introduce a new parameter projection operator for adaptation laws. The projection operator replaces the common Lipschitz continuity property with the stronger property of arbitrarily many times continuous differentiability. The proposed projection is useful for backstepping-based, robust adaptive controllers which require multiple differentiations of the adaptation law.
  • Keywords
    adaptive control; robust control; set theory; backstepping-based control; multiple differentiations; parameter projection operator; robust adaptive control; Adaptive control; Automatic control; Computational modeling; Nonlinear dynamical systems; Nonlinear equations; Numerical simulation; Physics; Programmable control; Robust control; State feedback; Adaptation law; backstepping; disturbance; projection operator; robust adaptive control;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2005.861704
  • Filename
    1576865
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=794232