A generalized function projective synchronization scheme for uncertain chaotic systems subject to input nonlinearities. Issue 6 (17th August 2016)

• Record Type: Journal Article
• Authors: Hamel, Sarah; Boulkroune, Abdesselem
• Is Part Of: International journal of general systems. Volume 45:Issue 6(2016)
• Page Start: 689
• Page End: 710
• Publication Date: 2016-08-17
• Subjects: Function projective synchronization -- uncertain chaotic system -- fuzzy adaptive control -- dead-zone -- sector nonlinearity; System theory -- Periodicals; 003
• DOI: 10.1080/03081079.2015.1118094
• Languages: English
• ISSNs: 0308-1079

Abstract

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.