Fractional adaptive systems in the presence of bounded disturbances and parameter variations

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.