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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.
Based on the Lyapunov stability principle, the tracking synchronization control theorem of simplified Lorentz system is deduced, and theoretically proven that the designed tracking controller can make the system track any differentiable reference signal.Using the designed tracking synchronization controller, Simplify the Lorentzian system to track the DC signal, the sinusoidal signal and the hyperchaotic signal.Analysis of the relationship between the size of the control parameters and chaotic tracking synchronization performance, find that using larger parameters can shorten the synchronization time.The numerical simulation results show that the method The reliability and the validity of the Lorenz Chaos System are analyzed and the new synchronization scheme is provided to simplify the confidential communication of Lorentz Chaos System.