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针对混沌Chen系统,设计了考虑具有数据丢包的网络脉冲控制器,实现了混沌chen系统的同步。首先考虑一般非线性网络脉冲控制系统,应用Lyapunov稳定性理论,网络控制分析方法以及脉冲控制理论,考虑当网络中存在数据随机丢包情况下,分别讨论当系统在连续过程和脉冲发生时刻系统满足渐近稳定的条件,得到了该非线性脉冲系统渐近稳定的充分条件。然后针对混沌chen系统,应用该充分条件,得到混沌chen系统渐近稳定的相应条件。进一步考虑基于网络控制实现混沌chen系统的同步问题,应用该定理将其归结为通过设计网络脉冲控制器使得相应的误差系统渐近稳定。最后,利用matlab软件对上述非线性混沌chen系统进行数值仿真,得到了混沌chen系统的状态响应曲线和同步系统误差状态响应曲线,仿真结果验证了算法的正确性和有效性。
For the chaotic Chen system, a network impulsive controller with data packet loss is designed to realize the synchronization of chaotic chen system. Considering the general non-linear network impulsive control system, the application of Lyapunov stability theory, network control analysis method and impulsive control theory, considering the case of random packet loss in the network, the system is discussed respectively when the system satisfies the continuous process and the impulsive time Asymptotically stable conditions, the sufficient conditions for the asymptotic stability of the nonlinear impulsive system are obtained. Then for the chaotic chen system, the sufficient conditions are applied to obtain the corresponding asymptotic stability of the chaotic chen system. The synchronization problem of chaotic chen system based on network control is further considered. The theorem is attributed to the asymptotic stability of the corresponding error system by designing the network impulsive controller. Finally, matlab software is used to simulate the above nonlinear chaotic chen system, and the state response curve of the chaotic chen system and the error response curve of the synchronous system are obtained. The simulation results verify the correctness and effectiveness of the algorithm.