• DocumentCode
    164956
  • Title

    Fractional error model 1 in adaptive systems

  • Author

    Aguila-Camacho, Norelys ; Duarte-Mermoud, Manuel A.

  • Author_Institution
    Dept. of Electr. Eng., Univ. of Chile, Santiago, Chile
  • fYear
    2014
  • fDate
    23-25 June 2014
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    This paper presents the analysis of Error Model 1 when 0 <; α <; 1, in the context of Fractional Adaptive Systems. Simulation studies are presented, which show the main characteristics of this error model, from stability and error convergence point of view, as well as the main characteristics of the errors transient response. The stability of the Error Model is proved using the Lyapunov direct method for fractional systems, and the main difficulties that arise in the convergence analysis of the errors are discussed.
  • Keywords
    Lyapunov methods; adaptive control; convergence; Lyapunov direct method; convergence analysis; error convergence; error model stability; errors transient response; fractional adaptive systems; fractional error model 1; Adaptation models; Adaptive control; Analytical models; Convergence; Differential equations; Mathematical model; Stability analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on
  • Conference_Location
    Catania
  • Type

    conf

  • DOI
    10.1109/ICFDA.2014.6967435
  • Filename
    6967435
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=164956