摘要
针对混沌系统的自适应广义投影同步,基于李亚普诺夫稳定性理论,提出设计合适的自适应控制器和参数更新规则。以两个新型的四维混沌系统为例进行数值仿真,实现其驱动系统与响应系统渐近地达到所有状态向量的广义投影同步,同时辨识出系统的所有未知参数。通过数值仿真,证明了所设计的控制器有效性以及理论推导的正确性。
Based on the Lyapunov stability theory, an adaptive controller of generalized projected synchronization and the parameter update rule are designed. The proposed scheme can successfully synchronize two new typical chaotic systems, the hyper-chaotic Liu system and the four-dimensional Qi system. The controller and the update rule can make all the states of both the drive system and the response system asymptotically generalized projected synchronization with the same phase or the antl-phase for the two new chaotic systems, and identify the system's unknown parameters. The simulation results show the effectiveness of the theoretical analysis.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2008年第7期1320-1323,共4页
Systems Engineering and Electronics
基金
江苏省自然科学基金资助课题(BK2004421)
关键词
广义投影同步
参数辨识
自适应控制
比例因子
generalized projective synchronization
parameters identification
adaptive control method
proportional relation