Adaptive Synchronization Of Uncertain Fractional-Order Chaotic Triangular Systems Via Fuzzy Backstepping Control

In this paper, a new fractional fuzzy adaptive backstepping control scheme is investigated for projective synchronizing a class of uncertain chaotic master-slave systems. These systems are assumed to be with fractional-order and subject to uncertainties and external disturbances. In the design process, the uncertain nonlinear functions are online modeled via fuzzy logic systems, and the virtual control terms are adequately determined based on the fractional Lyapunov stability. The proposed fuzzy adaptive backstepping controller ensures the stability of the closed-loop system as well as the convergence of the underlying synchronization error. Numerical simulations illustrate well the performances of the proposed approach.