Synchronization of chaotic systems via nonlinear controller design based on Lyapanov

Abstract— 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 Lyapanov 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.

Keywords:

Nonlinear , Chaos , Synchronization , Lyapunov