Design and circuit simulation of observer-based chaotic synchronization and communication systems

Abstract

The design and simulation of an analogue integrated circuit for the observer-based synchronization of two chaotic systems and its application to chaotic communication are presented. The chaotic synchronization systems consist of a specially designed drive system and a response. The response system is then designed on the basis of the technique of linear matrix inequality-based state observer design, in which the observer gain is appropriately selected such that the state errors of the drive-response systems asymptotically converge to zero. The proposed observer-based synchronization scheme is then applied to chaotic communication applications, in which the chaotic modulation method is used while the chaotically masked signal and the information are fed back into the transmitter and the former is simultaneously transmitted to the receiver. In addition, the well-known chaotic Rossler system is considered as an illustrative example, along with its circuit implementation which is also described. Results obtained from PSPICE circuit simulations are given to demonstrate the proposed scheme's effectiveness.