摘要
为了实现两未知参数混沌系统的同步控制与参数辨识,采用自适应函数投影同步控制策略,基于李亚普诺夫稳定性原理,设计了实现参数未知、不同初值的两同构或异构混沌系统同步的控制器和参数自适应控制律,给出了实现同步的控制参数的取值范围,分析了控制参数对同步系统性能的影响规律.以最新提出的单参数简化洛仑兹混沌系统模型为研究对象,采用Matlab/Simulink进行动态仿真研究,表明了理论分析的正确性和同步控制与参数辨识方法的有效性.
To realize synchronization control and parameter identification of two chaotic systems with unknown parameters, controllers and parameters adaptive rules for two homogenous or heterogenous chaotic systems with unknown parameters and different initial values are designed based on Lyapunov stability principle by employing the adaptive function projective synchronization control strategy.The range of control parameters to achieve synchronization are presented,and the rule of control parameters affecting on performance of synchronizationsystem is analyzed.Taking the latest simplified Lorenz chaotic system with single parameter as an example,the dynamic simulation results on Matlab/Simulink show the correctness of theory analysis and the effectiveness of the parameter identification approach.
出处
《信息与控制》
CSCD
北大核心
2010年第3期326-331,341,共7页
Information and Control
关键词
混沌
函数投影同步
自适应控制
简化洛仑兹系统
chaos
function projective synchronization
adaptive control
simplified Lorenz system