Synchronization of Chaotic Systems Based on Nonlinear Feedback Control

Based on geometric theory of nonlinear feedback control, a new method to synchronize chaotic systems was put forward. As prerequisite of an appropriate smooth vector field by virtue of nonlinear differential geometry theory to assure the normalization of the receiver system was completed, and then in terms of differences of outputs and their different orders derivatives of the transmitter and receiver, the synchronization error state equations were constructed. By pole assignment, a nonlinear controller to synchronization output signals of two chaotic systems was also given and extended to the whole or part of the states of the two systems. As a result, numerical simulation to the Chua's circuit and its application in secure communication proves the efficacy of the suggested methods.