Singular observer approach for chaotic synchronization and private communication

Based on the singular system observer, this paper proposes an effective approach for chaotic synchronization and private communication. When the useful information is modulated in a chaotic system and its dynamic equation is not available, we can consider the transmitted signal as an external system state. Then we can design a singular observer which has higher dimension. The advantage of such a design is that we can avoid using the derivation information of the transmitted signal. By adopting the singular system observer approach, the transmitted signal can be recovered successfully by the observer. Numerical simulations show the effectiveness of the proposed method.