Chaotic Synchronization Control And Its Applications To Secure Communication

Chaos is an extremely complex phenomenon that generated by deterministic nonlineardynamic system, characterized by a seemingly random movement. Chaos theory belongs tothe nonlinear science, in the20th century, chaos phenomenon is one of the most importantdiscoveries on human history of science. Over the past20years, people’s awareness andunderstanding to chaotic phenomenon has improved gradually, research of chaoticsynchronization control theory has gradually mature, and provides a reliable theoretical basisfor the application to secure communication. In this paper, study of chaos control, chaossynchronization control and application to secret communication, the main content as follows:1. Studied the control of uncertainty Liu chaotic systems with disturbance.Design anonlinear feedback controller, make the output variable of the controlled chaotic system clamto balance, the theoretical analysis and experimental simulation show that this control methodis effective. Based on state feedback exact linearization,design of optimal feedback controlleraccording to the linear quadratic performance index, the theory proved that the controllercan achieve calm controlled system to the balance point with minimal energy, the Matlabsimulations verify the effectiveness of the proposed scheme.2. Studied of unified chaotic system and uncertain Liu chaotic system achievesynchronization within a limited period of time. Respectively, based on CLF and f-CLFmethod, design of corresponding feedback controller, and theoretically proved that under theaction of the controller, drive and response chaotic system can realize different structuresynchronization, the numerical simulation results show that the controller can achieve chaossynchronization in the limited time effectively.3. Study two hyperchaotic Liu system with different structure achieve chaoticsynchronization problems, on this basis, further study the chaotic synchronization theoryapplied to secure communication. Respectively design secure communication scheme basedon chaotic masking and improved chaos masking, and studied in the case of the transmissionchannel exists disturbance, hyperchaotic synchronization secure communication schemedesign, through theoretical proof and MATLAB numerical simulation verify that the schemecan realize the signal mask and recovery.