摘要
分析了单模激光Lorenz系统和新系统的动力学特性。基于非线性反馈控制器的设计,利用跟踪控制使处于混沌和超混沌的两系统之间的拓扑不等价的异结构混沌系统成功地达到了混沌同步,依据线性稳定性理论分析,确定了控制系统的稳定性。数值模拟表明,通过适当地选择反馈增益系数,响应系统得到了有效控制。由于控制过程中无需计算Lyapunov指数,异结构混沌系统间的拓扑结构亦可以有较大差异,可降低混沌控制工作量和提高保密通信的性能。
The dynamic characteristics of single-mode Lorenz system and the new system were analyzed. Based on the design of nonlinear feedback controller, the chaos synchronization was realized by tracking control between two chaos systems which are different in topological structure. The stability of the control system was ensured according as the stability theory and the area of the feedback gain coefficients taken. The results of the artificial simulation have testified that the response system was controlled effectively by choosing properly the feedback gain coefficients. Because the Lyapunov exponent of chaotic system need not to be computed in the control process, the obvious diversity of the topological structures among the chaos systems with different structures can be allowed. The method is to reduce the computation of chaotic control and to improve the performance of the secure communication.
出处
《激光杂志》
CAS
CSCD
北大核心
2007年第3期27-28,共2页
Laser Journal
关键词
混沌同步
跟踪控制
数值模拟
单模激光Lorenz系统
新系统
chaos synchrenization
tracking control
artificial simulation
singlemode laser Lorenz system
new system
