Nonlinear observer design to synchronize fractional-order chaotic systems via a scalar transmitted signal

In this paper, based on the idea of nonlinear observer and stability theory of fractional-order systems, a new systematic scheme to synchronize a class of fractional-order chaotic systems via a scalar transmitted signal is developed. The approach is simple, global and theoretically rigorous. It enables synchronization of fractional-order chaotic systems to be achieved in a systematic way and does not require the computation of the conditional Lyapunov exponents. Simulation results are used to visualize and illustrate the effectiveness of the proposed synchronization method.