Synchronization of a New Chaotic System Using Adaptive Control: Design and Experimental Implementation

This paper presents the design of an adaptive controller that solves the synchronization control problem of two identical Nwachioma chaotic systems in a master-slave configuration. The closed-loop stability is guaranteed by means of a Lyapunov-like analysis. With the aim of verifying the feasibility...

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Main Authors: Alfredo Roldán-Caballero, J. Humberto Pérez-Cruz, Eduardo Hernández-Márquez, José Rafael García-Sánchez, Mario Ponce-Silva, Jose de Jesus Rubio, Miguel Gabriel Villarreal-Cervantes, Jesús Martínez-Martínez, Enrique García-Trinidad, Alejandro Mendoza-Chegue
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2023/2881192
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author Alfredo Roldán-Caballero
J. Humberto Pérez-Cruz
Eduardo Hernández-Márquez
José Rafael García-Sánchez
Mario Ponce-Silva
Jose de Jesus Rubio
Miguel Gabriel Villarreal-Cervantes
Jesús Martínez-Martínez
Enrique García-Trinidad
Alejandro Mendoza-Chegue
author_facet Alfredo Roldán-Caballero
J. Humberto Pérez-Cruz
Eduardo Hernández-Márquez
José Rafael García-Sánchez
Mario Ponce-Silva
Jose de Jesus Rubio
Miguel Gabriel Villarreal-Cervantes
Jesús Martínez-Martínez
Enrique García-Trinidad
Alejandro Mendoza-Chegue
author_sort Alfredo Roldán-Caballero
collection DOAJ
description This paper presents the design of an adaptive controller that solves the synchronization control problem of two identical Nwachioma chaotic systems in a master-slave configuration. The closed-loop stability is guaranteed by means of a Lyapunov-like analysis. With the aim of verifying the feasibility and performance of the proposed approach, a comparison with an active control algorithm is developed at the numerical simulation level. Based on such results, the master-slave Nwachioma chaotic system in closed-loop with adaptive control is now being experimentally tested by using two personal computers and two low-cost Arduino UNO boards. The experimental results not only show the good performance of the adaptive control but also that Arduino UNO boards are an excellent option for the experimental setup.
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id doaj-art-c896778af9a44e878e105a7b23a9b634
institution Kabale University
issn 1099-0526
language English
publishDate 2023-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-c896778af9a44e878e105a7b23a9b6342025-02-03T01:30:24ZengWileyComplexity1099-05262023-01-01202310.1155/2023/2881192Synchronization of a New Chaotic System Using Adaptive Control: Design and Experimental ImplementationAlfredo Roldán-Caballero0J. Humberto Pérez-Cruz1Eduardo Hernández-Márquez2José Rafael García-Sánchez3Mario Ponce-Silva4Jose de Jesus Rubio5Miguel Gabriel Villarreal-Cervantes6Jesús Martínez-Martínez7Enrique García-Trinidad8Alejandro Mendoza-Chegue9Unidad Profesional Interdisciplinaria de Ingeniería Campus TlaxcalaSección de Estudios de Posgrado e InvestigaciónDepartamento de Ingeniería MecatrónicaDivisión de Ingeniería MecatrónicaDepartamento de Ingeniería ElectrónicaSección de Estudios de Posgrado e InvestigaciónCentro de Innovación y Desarrollo Tecnológico en CómputoDivisión de Ingeniería MecatrónicaDivisión de Ingeniería MecatrónicaSección de Estudios de Posgrado e InvestigaciónThis paper presents the design of an adaptive controller that solves the synchronization control problem of two identical Nwachioma chaotic systems in a master-slave configuration. The closed-loop stability is guaranteed by means of a Lyapunov-like analysis. With the aim of verifying the feasibility and performance of the proposed approach, a comparison with an active control algorithm is developed at the numerical simulation level. Based on such results, the master-slave Nwachioma chaotic system in closed-loop with adaptive control is now being experimentally tested by using two personal computers and two low-cost Arduino UNO boards. The experimental results not only show the good performance of the adaptive control but also that Arduino UNO boards are an excellent option for the experimental setup.http://dx.doi.org/10.1155/2023/2881192
spellingShingle Alfredo Roldán-Caballero
J. Humberto Pérez-Cruz
Eduardo Hernández-Márquez
José Rafael García-Sánchez
Mario Ponce-Silva
Jose de Jesus Rubio
Miguel Gabriel Villarreal-Cervantes
Jesús Martínez-Martínez
Enrique García-Trinidad
Alejandro Mendoza-Chegue
Synchronization of a New Chaotic System Using Adaptive Control: Design and Experimental Implementation
Complexity
title Synchronization of a New Chaotic System Using Adaptive Control: Design and Experimental Implementation
title_full Synchronization of a New Chaotic System Using Adaptive Control: Design and Experimental Implementation
title_fullStr Synchronization of a New Chaotic System Using Adaptive Control: Design and Experimental Implementation
title_full_unstemmed Synchronization of a New Chaotic System Using Adaptive Control: Design and Experimental Implementation
title_short Synchronization of a New Chaotic System Using Adaptive Control: Design and Experimental Implementation
title_sort synchronization of a new chaotic system using adaptive control design and experimental implementation
url http://dx.doi.org/10.1155/2023/2881192
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