摘要
为提高混沌系统在加密算法的不可预测性和同步性能,采用状态反馈控制方法构造了一个新的超混沌Lü系统,通过分析该系统的平衡点性质、李亚普诺夫指数、功率谱和耗散性等指标证明了混沌吸引子的存在性,验证了所提超混沌系统具有更复杂的动力学行为;根据李亚普诺夫稳定原理,从理论上讨论了状态反馈控制方法实现超混沌同步的充分必要条件,并根据其条件进一步构造了超混沌Lü系统状态反馈同步控制器,仿真结果表明所提同步方案具有良好的噪声鲁棒性,并利用硬件电路实验验证了同步结果的正确性;将所提的超混沌Lü系统和对应的同步方案应用于保密通信方案中,展现出了所提方案的工程应用潜力。
In order to improve the unpredictability and synchronization performance of chaotic system in encryption algorithm,a hyper-chaotic Lüsystem with hyper-chaotic attractors has been proposed by the method of the state feedback control.The properties of equilibrium point of the system,Lyapunov exponent spectrum,power spectrum and dissipation are analyzed to demonstrate that attractors are indeed hyper-chaotic,the more complex dynamic behavior of the hyper-chaotic system is verified.In addition,basing on the Lyapunov theory,the sufficient and necessary conditions of state feedback control method is proposed to achieve hyper-chaotic synchronization in theoretically.The state feedback synchronous controller is designed for the hyper-chaotic Lüsystem with these conditions.The simulation results show that the synchronous scheme has good noise robustness,and the correctness of the synchronous result is verified by the experiment of the hardware circuit.Finally,the hyper-chaotic Lüsystem and synchronous scheme are applied to the secure communication system and show the application potential in the engineering.
作者
郭栋
白超
GUO Dong;BAI Chao(School of Intelligent Manufacturing,Shaanxi Institute of Technology,Xi an 710300,China;School of Electronical and Information Engineering,Xi an Technological University,Xi an 710021,China)
出处
《计算机测量与控制》
2022年第8期103-110,共8页
Computer Measurement &Control
基金
博士后科学基金项目(2020M673349)。
