Premium
Fractional adaptive systems in the presence of bounded disturbances and parameter variations
Author(s) -
DuarteMermoud Manuel Armando,
AguilaCamacho Norelys
Publication year - 2017
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2763
Subject(s) - bounded function , control theory (sociology) , generality , mathematics , fractional calculus , uniform boundedness , lyapunov function , adaptive system , computer science , mathematical analysis , nonlinear system , artificial intelligence , physics , psychology , control (management) , quantum mechanics , psychotherapist
Summary This paper presents the analysis of fractional adaptive systems in the presence of bounded disturbances and parameter variations. Fractional adaptive systems are analyzed using the error model approach, to give generality to the results. Modified fractional adaptive laws are proposed to make the adaptive systems robust against bounded disturbances and parameter variations. The boundedness of the signals is analytically proved using Lyapunov functions. A simulation example is included to show the effectiveness of the proposed solutions.