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

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Scopus citations

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.

Original language	English
Title of host publication	New Perspectives and Applications of Modern Control Theory
Subtitle of host publication	In Honor of Alexander S. Poznyak
Publisher	Springer International Publishing
Pages	121-151
Number of pages	31
ISBN (Electronic)	9783319624648
ISBN (Print)	9783319624631
DOIs	https://doi.org/10.1007/978-3-319-62464-8_6
State	Published - 30 Sep 2017
Externally published	Yes

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

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title = "Fractional-order model reference adaptive controllers for first-order integer plants",

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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doi = "10.1007/978-3-319-62464-8\_6",

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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.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Fractional-order model reference adaptive controllers for first-order integer plants

AU - Duarte-Mermoud, Manuel A.

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.

AB - 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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BT - New Perspectives and Applications of Modern Control Theory

PB - Springer International Publishing

ER -

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

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