| Chaos is one of the important branches in the field of nonlinear systems. It is noise–like, and sensitive to the initial value and disturbance which attracts much attention of researchers. Chaos synchronization, a critical application of chaotic systems is widely used in the area of the confidential communications, information processing and aerospace automation. These complex scenarios require much more advanced control algorithm and a large amount of these technique remains to be researched. In this paper, in order to improve the performance of Chaos synchronization, linear state feedback control, adaptive control and sliding mode control are studied in both theory and simulation. Main work is as follows:First, based on the knowledge of chaos theory and corresponding control theory,the characteristics of chaos are studied; the method of constructing system model is researched.Second, linear state feedback control and adaptive control are applied for the chaos synchronization. Different initial values are used in the system. Simulation results show the feasibility of these two approaches.Third, finite-time sliding mode controller is designed with a new sliding mode surface. It is shown in the simulation that the response meets the designed synchronization time and the system performance is excellent.Last, in order to broaden the application of chaos synchronization control,additional disturbance in the system is considered. Control law is designed using finite-time sliding mode control based on Lyapunov stability theory. The algorithm is verified by simulation which shows that the error converges to zero quickly. |
PDF Full Text Request