中文摘要：

对统一混沌系统的同步控制和在保密通信中的应用进行了研究．基于李亚普诺夫稳定性理论和线性矩阵不等式方法，设计出一种结构简单、反馈增益小、保守性小的输出反馈控制器；解决了状态不可测情况下统一混沌系统的同步控制问题，实现了性能良好的混沌同步．进而用混沌掩盖的方法将该同步方法应用于保密通信．最后以统一混沌系统的特殊情况洛伦兹系统为例进行了仿真．仿真结果表明可以实现渐近同步，应用于保密通信可以达到掩盖有用信号的目的，并且可以无失真地恢复有用信号．

英文摘要：

The paper investigates the chaotic synchronization of the unified chaotic system and its application to.secure communication. Based on Lyapunov stability theory and linear matrix inequality method, an output feedback controller with simple structure, small feedback gain and less conservation is presented. The unified chaotic systems with unmeasurable states are synchronized, and good chaotic synchronization is achieved. Then this method is applied to secure communication through chaotic masking. Simulation is made on Lorenz system, a specific example of unified chaotic system, and the simulation results show that the method can realize asymptotical synchronization. With the presented method is applied to secure communication, the information signal can be concealed and recovered.