Backstepping Design Of Projective Synchronization In Different Uncertain Chaotic System

The significance of chaos synchronization and some synchronization methods together with it's development is stated in the article. The projective synchronization between different uncertain chaos systems is realized using Backstepping method. The structure of the controller is designed based on Lyapunov stability theory. Taking Lorenz system and Duffing system as examples, the projective synchronization between two different chaos systems with different orders is realized. Furthermore, taking Lorenz system and Rossler system as examples, the projective synchronization between different uncertain chaos systems is realized. Meanwhile, the projective synchronization can be realized when the number of controllers is reduced by transferring signals between two systems. The fourth step Runge-Kutta law is used and programs are made in Matlab, the method is proved to be effective and feasible. The controller designed in the article can be applied in any two systems, no matter they have the same structure or not. Therefore, it's generally suitable.