Mamdani-Type Fuzzy-Based Adaptive Nonhomogeneous Synchronization

The aim of this work is the design of an adaptive controller based on Mamdani-type fuzzy inference systems. The input control is constructed with saturation functions’ fuzzy-equivalents, which works as the adaptive scheme of the controller. This control law is designed to stabilize the error system...

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Main Authors: J. R. Pulido–Luna, J. A. López–Rentería, N. R. Cazarez–Castro
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/9913114
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author J. R. Pulido–Luna
J. A. López–Rentería
N. R. Cazarez–Castro
author_facet J. R. Pulido–Luna
J. A. López–Rentería
N. R. Cazarez–Castro
author_sort J. R. Pulido–Luna
collection DOAJ
description The aim of this work is the design of an adaptive controller based on Mamdani-type fuzzy inference systems. The input control is constructed with saturation functions’ fuzzy-equivalents, which works as the adaptive scheme of the controller. This control law is designed to stabilize the error system to synchronize a pair of chaotic nonhomogeneous piecewise systems. Finally, an illustrative example as numerical evidence is developed.
format Article
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institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-fe9d083f4f23455aa54c98c694743f092025-02-03T06:12:10ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/99131149913114Mamdani-Type Fuzzy-Based Adaptive Nonhomogeneous SynchronizationJ. R. Pulido–Luna0J. A. López–Rentería1N. R. Cazarez–Castro2Departamento de Ingeniería Eléctrica y Electrónica, Tecnológico Nacional de México, Instituto Tecnológico de Tijuana, Calzada Tecnológico S/N, Fracc, Tomás Aquino, Tijuana, Baja California, CP 22414, MexicoCONACyT-Tecnológico Nacional de México, Instituto Tecnológico de Tijuana, Calzada Tecnológico S/N, Fracc, Tomás Aquino, Tijuana, Baja California, CP 22414, MexicoDepartamento de Ingeniería Eléctrica y Electrónica, Tecnológico Nacional de México, Instituto Tecnológico de Tijuana, Calzada Tecnológico S/N, Fracc, Tomás Aquino, Tijuana, Baja California, CP 22414, MexicoThe aim of this work is the design of an adaptive controller based on Mamdani-type fuzzy inference systems. The input control is constructed with saturation functions’ fuzzy-equivalents, which works as the adaptive scheme of the controller. This control law is designed to stabilize the error system to synchronize a pair of chaotic nonhomogeneous piecewise systems. Finally, an illustrative example as numerical evidence is developed.http://dx.doi.org/10.1155/2021/9913114
spellingShingle J. R. Pulido–Luna
J. A. López–Rentería
N. R. Cazarez–Castro
Mamdani-Type Fuzzy-Based Adaptive Nonhomogeneous Synchronization
Complexity
title Mamdani-Type Fuzzy-Based Adaptive Nonhomogeneous Synchronization
title_full Mamdani-Type Fuzzy-Based Adaptive Nonhomogeneous Synchronization
title_fullStr Mamdani-Type Fuzzy-Based Adaptive Nonhomogeneous Synchronization
title_full_unstemmed Mamdani-Type Fuzzy-Based Adaptive Nonhomogeneous Synchronization
title_short Mamdani-Type Fuzzy-Based Adaptive Nonhomogeneous Synchronization
title_sort mamdani type fuzzy based adaptive nonhomogeneous synchronization
url http://dx.doi.org/10.1155/2021/9913114
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AT jalopezrenteria mamdanitypefuzzybasedadaptivenonhomogeneoussynchronization
AT nrcazarezcastro mamdanitypefuzzybasedadaptivenonhomogeneoussynchronization