Synchronization of Chaotic systems via Nonlinear Control Design based on Lyapunov

In this paper, a method nonlinear controller design is proposed for the synchronization of chaotic systems to the steady state the slave system as well as to be tracking of any desired trajectory to be achieved in a systematic way. The control analysis is based on the nonlinear control approach that interlaces the appropriate choice of a Lyapunov function. The numerical simulation results show that the proposed controller can force the Slave system dynamics, to move in the direction of the master system dynamics, on the other hand, the synchronization error will be asymptotically to zero.