Fractional-order model reference adaptive controllers for first-order integer plants

Manuel A. Duarte-Mermoud; Norelys Aguila-Camacho; Javier A. Gallegos; Juan C. Travieso-Torres

doi:10.1007/978-3-319-62464-8_6

Fractional-order model reference adaptive controllers for first-order integer plants

Manuel A. Duarte-Mermoud
, Norelys Aguila-Camacho
, Javier A. Gallegos
, Juan C. Travieso-Torres

Producción científica: Capítulo del libro/informe/acta de congreso › Capítulo › revisión exhaustiva

2 Citas (Scopus)

Resumen

In this chapter,we extend the ideas of themodel reference adaptive control (MRAC), developed for integer-order plants with integer-order adaptive laws, to the case of integer-order plants but with fractional-order adaptive laws. Two cases are analyzed in detail; the directMRAC(DMRAC) and the combinedMRAC(CMRAC). In both cases, boundedness of all the signals in the resultant adaptive scheme is theoretically proved and a discussion on the error, and parameter convergence is provided in each case. The study is performed for scalar first-order time-invariant plants, since extensions to the vector case are currently under investigation.

Idioma original	Inglés
Título de la publicación alojada	New Perspectives and Applications of Modern Control Theory
Subtítulo de la publicación alojada	In Honor of Alexander S. Poznyak
Editorial	Springer International Publishing
Páginas	121-151
Número de páginas	31
ISBN (versión digital)	9783319624648
ISBN (versión impresa)	9783319624631
DOI	https://doi.org/10.1007/978-3-319-62464-8_6
Estado	Publicada - 30 sep. 2017
Publicado de forma externa	Sí

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abstract = "In this chapter,we extend the ideas of themodel reference adaptive control (MRAC), developed for integer-order plants with integer-order adaptive laws, to the case of integer-order plants but with fractional-order adaptive laws. Two cases are analyzed in detail; the directMRAC(DMRAC) and the combinedMRAC(CMRAC). In both cases, boundedness of all the signals in the resultant adaptive scheme is theoretically proved and a discussion on the error, and parameter convergence is provided in each case. The study is performed for scalar first-order time-invariant plants, since extensions to the vector case are currently under investigation.",

author = "Duarte-Mermoud, \{Manuel A.\} and Norelys Aguila-Camacho and Gallegos, \{Javier A.\} and Travieso-Torres, \{Juan C.\}",

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Fractional-order model reference adaptive controllers for first-order integer plants. / Duarte-Mermoud, Manuel A.; Aguila-Camacho, Norelys; Gallegos, Javier A. et al.
New Perspectives and Applications of Modern Control Theory: In Honor of Alexander S. Poznyak. Springer International Publishing, 2017. p. 121-151.

Producción científica: Capítulo del libro/informe/acta de congreso › Capítulo › revisión exhaustiva

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AU - Aguila-Camacho, Norelys

AU - Gallegos, Javier A.

AU - Travieso-Torres, Juan C.

PY - 2017/9/30

Y1 - 2017/9/30

N2 - In this chapter,we extend the ideas of themodel reference adaptive control (MRAC), developed for integer-order plants with integer-order adaptive laws, to the case of integer-order plants but with fractional-order adaptive laws. Two cases are analyzed in detail; the directMRAC(DMRAC) and the combinedMRAC(CMRAC). In both cases, boundedness of all the signals in the resultant adaptive scheme is theoretically proved and a discussion on the error, and parameter convergence is provided in each case. The study is performed for scalar first-order time-invariant plants, since extensions to the vector case are currently under investigation.

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Fractional-order model reference adaptive controllers for first-order integer plants

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