Synchronization New Chaotic System Using Optimal Nonlinear Controller

Chaos is one of the most important phenomena based on complex nonlinear dynamics. In this paper, we investigate chaos synchronization problems of a new 3D chaotic system. Based on the Lyapunov stability theory, a nonlinear control approach is presented for the synchronization between two three- dimensional chaotic systems. This system is a new three-dimensional autonomous chaotic system which is different from the other existing attractors and has larger Lyapunov exponent than the Lorenz system. In order to optimize this controller, Genetic algorithm is applied. The genetic algorithm detects the best optimized values for gain of this controller. Fitness function is also considered as Total Square Error between master and slave systems. Numerical simulations show the effectiveness of the presented controller.