具有双重时延的电力信息物理系统的同步控制

随着电力系统的安全可靠运行越来越依赖于通信系统，时间延迟也成为影响电力信息物理系统同步的主要因素之一。针对具有双重时延的电力信息物理系统的同步问题，设计控制器解决时延对系统同步的影响。首先，搭建具有双重时延的电力信息物理系统模型，然后根据系统模型设计出控制器，并通过构造Lyapunov函数证明控制器的有效性。对于大规模的系统，提出自适应牵制同步控制器，即将控制器添加到按照结构熵筛选出的牵制节点集的节点。结构熵可以解决当节点度相同时牵制节点的选择问题。最后通过两个算例验证了所提方法的可行性。

Synchronous control of Cyber Power Physical System with double latency

As the safe and reliable operation of the power system becomes more and more dependent on the communication system, time delay has become one of the main factors affecting the synchronization of the Cyber Power Physical System. Aiming at the synchronization problem of Cyber Power Physical System with double delay, the controller is designed to solve the influence of delay on system synchronization. Firstly, a model of the power cyber-physical system with double delay is constructed, and then, the controller is designed according to the system model, and the effectiveness of the controller is proved by constructing the Lyapunov function. For large-scale systems, an adaptive containment synchronous controller is proposed, that is, the controller is added to the node of the set of containment nodes filtered according to the structural entropy. Structural entropy can solve the problem of pinning the selection of nodes when the degree of nodes is the same. Finally, two examples are used to verify the feasibility of the proposed method.