Research On Synchronizing Control And Secret Communication Of Chaotic System

Chaos synchronization control is a very popular topic in the study of nonlinear theory, the application prospect is very broad. Chaos phenomenon exists in nature and human fields, our research of chaos has very important meaning significance and itself has properties make it more favored by people in the application of secret communication. Under the premise of this paper, based on the theory of chaos, the application of chaotic synchronization control method and stability theory, constructs the corresponding controller, and its application to the secure communications industry has strong practical application value.First of all, based on the definition of chaos, the paper expounds the basic characteristics of chaos, based on this basis, we study the stability of the chaotic synchronization of judgment, then introducing several chaotic systems synchronization method that is widely used at present stage, and the chaotic synchronization theory applied to secure communication method is briefly introduced, mainly includes the chaos masking, chaotic modulation, chaos shift keying and chaotic spread spectrum method, and analyzes the advantages and disadvantages of several methods. Then synchronization method based on state observer is studied and on how to reasonable design of state observer makes a further study to achieve synchronization for chaotic systems.Then the nonlinear function and meeting the global Lipschitz condition synchronous observer design, the key is to find the appropriate gain matrix L to make the error equation asymptotically stable, according to the Lyapunov stability theory to test whether chaos system achieve synchronization state, its application in secret communication, good effect of secret communication is realized.Finally focuses on the theory of adaptive chaotic synchronization, respectively from the parameters are known and the unknown parameters for designing adaptive feedback controller, and through the simulation, the chaotic system achieved well. And based on the theory of adaptive synchronization principle, designing a kind of contains unknown parameters adaptive synchronization controller of Lorenz chaotic system. On the basis of the adaptive state observer, designing the adaptive observer based on Chen chaotic system, and its application in secret communication,that makes the design of secure communications further optimize.