摘要
基于稳定性理论,解析地设计了一类控制器来识别Lorenz混沌系统的三个关键参数.通过将驱动系统和响应系统的误差动态反馈到相应系统来实现两个系统的同步,两个系统很快达到了同步且系统的三个关键参数被快速识别.进一步数值研究结果证明了系统参数发生阶跃时和噪声作用下该方法仍然是有效的.控制器的优点在于当系统达到同步后,取消该控制器,仍然可以较精确辨识,且这种方法具有很强的鲁棒性.
The controller is constructed analytically and used to estimate three critical unknown parameters in the chaotic Lorenz system based on the stability theory. The errors of the variables from the drive and the response system are feedbacked into the response system to make complete synchronization, and all the unknown parameters are identified quickly and exactly. Furthermore,it also investigated the case that the parameter changes rapidly with a jump type or random noise is imposed on the system, the scheme is also comfirmed to be effectively, all unknown parameters could be estimated exactly when the two systems reach complete synchronization, and it also confirms its robustness.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第4期794-798,共5页
Journal of Sichuan University(Natural Science Edition)
基金
安徽省青年教师科研资助项目(2008jql100)
关键词
混沌同步
参数辨识
控制器
chaos synchronization, parameter estimation, controller
