基于混合反馈控制的分数阶混沌系统多延时完全同步  

Multiple lag completely synchronization of fractional chaotic based on hybrid feedback control

作　　者：李睿[1] 张广军[1,2] 姚宏[1] 朱涛[1] 

机构地区：[1]空军工程大学理学院710051西安 [2]西安交通大学生命科学与技术学院710049西安

出　　处：《应用力学学报》2015年第2期239-243,352,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(10872156);航空基金(20111396011)

摘　　要：为提高保密通信的安全性,本文首次将完全同步和延时投影同步的思想相结合提出了多延时完全同步。针对Lorenz、金融分数阶两个不同的混沌系统,基于分数阶稳定性理论以及混合反馈控制方法,通过设计能够自动调节反馈增益系数的混合反馈控制器,实现了分数阶多延时完全同步。根据前人提出的修正的预估校正算法对混沌系统进行数值仿真,结果表明由驱动系统与响应系统构建的多延时完全同步误差系统将最终稳定于零点,从而验证了混合反馈控制器的有效性和可行性。In order to improve the security of secure communication, based on completely synchronization and lag projective synchronization, a new multiple lag completely synchronization is studied for the first time and multiple lag completely synchronization between two different fractional chaotic systems, that is, Lorenz and financial system are investigated. Hybrid feedback controller which is based on fractional stability theory and hybrid feedback control method is designed for the multiple lag completely synchronization. The feedback gain of hybrid feedback controller can be adjusted automatically. Under the controller, multiple lag completely synchronization is achieved between the two fractional chaotic systems and the strict proof have been given. Numerical simulation is carried out by using previous modified predictor-corrector arithmetic. Numerical simulation shows that the multiple lag completely synchronization errors system can become zero finally. Overall, the research presented verifies the effectiveness and feasibility of hybrid feedback controller and realizes the multiple lag completely synchronization of the fractional chaotic system.

关 键 词：分数阶系统 混沌 混合反馈控制 多延时完全同步 

分 类 号：TP301.5[自动化与计算机技术—计算机系统结构]