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

Manuel Armando Duarte-Mermoud; Norelys Aguila-Camacho

doi:10.1002/acs.2763

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

Manuel Armando Duarte-Mermoud
, Norelys Aguila-Camacho

University of Chile

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1273-1284
Number of pages	12
Journal	International Journal of Adaptive Control and Signal Processing
Volume	31
Issue number	9
DOIs	https://doi.org/10.1002/acs.2763
State	Published - Sep 2017
Externally published	Yes

Keywords

disturbance rejection, fractional adaptive systems, Lyapunov methods, parametric variation, robustness

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10.1002/acs.2763

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title = "Fractional adaptive systems in the presence of bounded disturbances and parameter variations",

abstract = "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.",

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N2 - 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.

AB - 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.

KW - disturbance rejection, fractional adaptive systems, Lyapunov methods, parametric variation, robustness

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JO - International Journal of Adaptive Control and Signal Processing

JF - International Journal of Adaptive Control and Signal Processing

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ER -

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

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Keywords

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