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
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;
Conference_Titel :
Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on
Conference_Location :
Catania
DOI :
10.1109/ICFDA.2014.6967435
