改进的混沌反控制设计及在图像加密中的应用  

An Improved Chaos Anti Control Design and Its Application in Image Encryption

作　　者：吕恩胜 Lü Ensheng(Department of Mechanical and Electrical Engineering,Henan Technical Institute,Zhengzhou 450042,China)

机构地区：[1]河南应用技术职业学院机电工程学院,郑州450042

出　　处：《复杂系统与复杂性科学》2022年第4期91-98,共8页Complex Systems and Complexity Science

基　　金：河南省高等学校青年骨干教师培养计划(2018GGJS283)。

摘　　要：为产生混沌动力学行为,针对一类线性系统,设计了对称分段线性状态反馈控制器,改进了混沌反控制方法,通过调节控制器参数可对线性系统进行混沌反控制,结合最大Lyapunov指数证明其混沌性,根据Routh-Hurwitz判据分析其平衡点的稳定性,详细分析了混沌系统的动力学行为,利用新系统的混沌序列对图像进行加密,仿真结果直方图分布均匀、相邻像素相关性小,表明设计的混沌系统应用于图像加密系统的安全性能高。In order to generate chaotic dynamic behavior,aiming at a class of chaotic system,the chaos anti control method is improved,and the symmetrical piecewise linear state feedback controller is designed.The chaos of the linear system can be controlled by adjusting the parameters of the controller.The chaos is proved by combining the maximum Lyapunov index.The stability of the equilibrium point is analyzed according to the Routh Hurwitz criterion,and the dynamic behavior of the chaotic system is analyzed in detail.The new system is used to encrypt the image.The simulation results show that the histogram distribution is uniform and the correlation between adjacent pixels is small.It shows that the designed chaos system has high security performance in image encryption system.

关 键 词：混沌 反控制 状态反馈 动力学分析 图像加密 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]