摘要
基于李亚普诺夫稳定性原理,推导出简化洛伦兹系统的追踪同步控制定理,并从理论上证明设计的追踪控制器可以使系统追踪任意可微参考信号.采用设计的追踪同步控制器,实现简化洛伦兹系统追踪直流信号、正弦信号和超混沌信号的情况.分析控制参数的大小与混沌追踪同步性能之间的关系,发现采用较大的参数能缩短同步时间.数值仿真结果表明该方法的可靠性和有效性.为实现简化洛伦兹混沌系统保密通信提供了新的同步方案.
A tracking synchronization control theorem of the simplified Lorenz system is deduced on the basis of the Lyapunov stability theory. We demonstrate that the system can, in theory, track any differentiable reference signals by employing this tracking controller. Using the controller, we investigate the tracking control issues of the simplified Lorenz system by tracking the direct current signal, sine signal, and hyperchaotic signal. The relation between the synchronization performance and the control parameters is discussed, and we demonstrate that a larger control parameter can reduce the synchronization setup time. Simulation results show the effec- tiveness and feasibility of the method, which provides a new synchronization scheme for the simplified Lorenz chaotic system to achieve chaotic secure communication.
出处
《信息与控制》
CSCD
北大核心
2015年第4期393-397,共5页
Information and Control
基金
国家自然科学基金资助项目(61161006
61073187)
中央高校基本科研业务费专项资金资助项目(2014zzts010)
