Adaptive fuzzy control‐based projective synchronization of uncertain nonaffine chaotic systems. Issue 2 (28th August 2014)

• Record Type: Journal Article
• Authors: Boulkroune, Abdesselem; Bouzeriba, Amel; Hamel, Sara; Bouden, Toufik
• Is Part Of: Complexity. Volume 21:Issue 2(2015)
• Page Start: 180
• Page End: 192
• Publication Date: 2014-08-28
• Subjects: projective synchronization -- fuzzy adaptive control -- nonaffine chaotic systems -- Lorenz system -- Chen system -- centrifugal flywheel governor; Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1002/cplx.21596
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This article aims to introduce a projective synchronization approach based on adaptive fuzzy control for a class of perturbed uncertain multivariable nonaffine chaotic systems. The fuzzy‐logic systems are employed to approximate online the uncertain functions. A Lyapunov approach is used to design the parameter adaptation laws and to demonstrate the boundedness of all signals of the closed‐loop system as well as the convergence of the synchronization errors to bounded residual sets. Finally, numerical simulation results are presented to verify the feasibility and effectiveness of the proposed synchronization system based on fuzzy adaptive controller. © 2014 Wiley Periodicals, Inc. Complexity 21: 180–192, 2015