Affiliation:
1. University of Jijel, Algeria
Abstract
In this chapter, one develops a fuzzy adaptive backstepping control-based projective synchronization scheme of a class of uncertain fractional-order nonlinear systems with unknown external disturbances. In each step, an uncertain nonlinear function is online modeled via a fuzzy logic system, and a virtual control term is determined based on the fractional Lyapunov stability. At the final step, a fuzzy adaptive control law ensuring the convergence of the projective synchronization error as well as the stability of the closed-loop control system is derived. Numerical simulations given at the end of this chapter confirm well the effectiveness of the proposed control method.