Chaotic synchronization and secure communication based on descriptor observer

This paper presents an effective technique for both synchronization and secure communication of chaotic systems. A class of nonlinear chaotic systems is discussed, whose transmitted signal can be of multiple dimensions. Based on the descriptor observer design, we can obtain the accurate estimations of both the system states and the transmitted signals. Because the descriptor observer approach avoids using the derivation of the transmitted signal, the approach proposed does not need the assumption that the information signal is slowly varying. Numerical examples are given to illustrate the effectiveness of the proposed scheme.