Impulsive Control And Synchronization Of Chaotic System

These years, more and more experts are interested in chaos. Recently, chaos has extensive and successful applications as a burgeoning technology in many fields such as secure communication and signal processing et al. So chaos has been a challenging subject in the area of nonlinear control.Nowadays there are many methods to research on choas. This thesis introduces the impulsive approach to control the unified chaos system with uncertain disturbance. This approach is easier to control and faster to response.Firstly we introduce the background of the thesis and the development of chaos. After we summarize the typical chaotic systems and the impulsive control of the chaotic systems, the research on the unified chaos system is discussed.We introduce the basic theory of impulsive control and then put forward a impulsive control method to obtain the robust stability of a disturbed unified chaotic system by employing Lyapunov function, and finally we have a simulation to show the effectivity of the proposed approach.The robust synchronization of two disturbed unified chaotic systems is discussed also. We get the condition to make them robust asymptotic synchronization based on the theory of compare principle of the impulsive system and Lyapunov function. And numerical simulation is given.