基于参数辨识的自适应时滞混沌系统同步  

Adaptive Synchronization of Time-delay Chaotic Systems Based on Parameter Identification

作　　者：赖宏慧[1] 黄颖[2] 

机构地区：[1]赣南医学院信息工程学院,江西赣州341000 [2]赣南师范学院数学与计算机科学学院,江西赣州341000

出　　处：《计算机仿真》2010年第9期165-168,211,共5页Computer Simulation

基　　金：江西省自然科学基金资助项目(0411046)

摘　　要：在同步控制器的研究中,估计系统的未知参数是实现混沌同步必须解决的关键技术,研究参数不确定情况下为了时滞混沌系统的同步。根据Lyapunov-krasovskii泛函理论,研究了一类参数不确定的多维时滞混沌系统同步问题。采用参数辨识与自适应技术,通过数学推导证明,分别设计了时滞同步控制器和参数自适应律。以三维和四维时滞混沌系统为例,通过仿真,证明系统能达到较满意的同步效果,并且未知参数能够得到较好的辨识,说明设计方法具有有效性和普适性。It is of vital importance to estimate the unknown parameters of chaotic systems in chaos synchronization,therefor study on synchronization of time-delayed chaotic systems of uncertain system parameters is meaningful. Based on the Lyapunov-krasovskii functional theory,synchronization of class multi-dimension time-delayed chaotic systems of uncertain system parameters is proposed here. Use parameter identification and adaptive strategy,the time-delay synchronization controller and the adaptive law of parameters are designed respectively. The simulation with three-dimension and four-dimension time-delay chaotic system shows that the system can achieve satisfactory synchronization effect and the unknown parameters can be achieved better identification. Theoretical analysis and experiment results also indicate that this scheme has the effectiveness and universality.

关 键 词：参数辨识 时滞混沌系统 自适应同步 渐进稳定 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]