A generalized function projective synchronization scheme for uncertain chaotic systems subject to input nonlinearities

In this paper, a modified generalized function projective synchronization scheme for a class of master-slave chaotic systems subject to dynamic disturbances and input nonlinearities (dead-zone and sector nonlinearities) is investigated. This synchronization system can be seen as a generalization of...

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Published inInternational journal of general systems Vol. 45; no. 6; pp. 689 - 710
Main Authors Hamel, Sarah, Boulkroune, Abdesselem
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 17.08.2016
Taylor & Francis LLC
Subjects
Adaptive control
Adjustable
Chaos theory
Control systems
Control systems design
dead-zone
Dynamical systems
Function projective synchronization
fuzzy adaptive control
Fuzzy control
Fuzzy systems
Nonlinear dynamics
Nonlinearity
Scaling factors
sector nonlinearity
Synchronism
Synchronization
uncertain chaotic system
Online AccessGet full text
ISSN0308-1079
1563-5104
DOI10.1080/03081079.2015.1118094

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Abstract In this paper, a modified generalized function projective synchronization scheme for a class of master-slave chaotic systems subject to dynamic disturbances and input nonlinearities (dead-zone and sector nonlinearities) is investigated. This synchronization system can be seen as a generalization of many existing projective synchronization schemes (namely the function projective synchronization, the modified projective synchronization and so on), in the sense that the master system has a scaling function matrix and the slave system has a scaling factor matrix. To practically achieve this generalized function synchronization, an adaptive fuzzy variable-structure control system is designed. The fuzzy systems are used to appropriately approximate the uncertain nonlinear functions. A Lyapunov approach is employed to prove the boundedness of all signals of the closed-loop control system as well as the exponential convergence of the synchronization errors to an adjustable region. Simulations results are presented to illustrate the effectiveness of the proposed generalized function PS scheme.
AbstractList In this paper, a modified generalized function projective synchronization scheme for a class of master-slave chaotic systems subject to dynamic disturbances and input nonlinearities (dead-zone and sector nonlinearities) is investigated. This synchronization system can be seen as a generalization of many existing projective synchronization schemes (namely the function projective synchronization, the modified projective synchronization and so on), in the sense that the master system has a scaling function matrix and the slave system has a scaling factor matrix. To practically achieve this generalized function synchronization, an adaptive fuzzy variable-structure control system is designed. The fuzzy systems are used to appropriately approximate the uncertain nonlinear functions. A Lyapunov approach is employed to prove the boundedness of all signals of the closed-loop control system as well as the exponential convergence of the synchronization errors to an adjustable region. Simulations results are presented to illustrate the effectiveness of the proposed generalized function PS scheme.
Author Hamel, Sarah
Boulkroune, Abdesselem
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  surname: Boulkroune
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  organization: LAJ Laboratory, Faculty of Science and Technology, University of Jijel
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SubjectTerms Adaptive control
Adjustable
Chaos theory
Control systems
Control systems design
dead-zone
Dynamical systems
Function projective synchronization
fuzzy adaptive control
Fuzzy control
Fuzzy systems
Nonlinear dynamics
Nonlinearity
Scaling factors
sector nonlinearity
Synchronism
Synchronization
uncertain chaotic system
Title A generalized function projective synchronization scheme for uncertain chaotic systems subject to input nonlinearities
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