Contribution to Synchronization of Dynamic Systems

Abstract

This thesis is mainly focused on the design of synchronization systems based on fuzzy adaptive control for three different classes of fractional-order chaotic systems. In all proposed control schemes, the fuzzy systems are employed to approximate unknown nonlinear functions. A Lyapunov approach is exploited to derive the adaptation laws and prove the boundedness and convergence of all signals involved in the closed-loop system. Some numerical simulation results are presented to verify the feasibility and effectiveness of the proposed synchronization schemes.