This paper considers the frequency regulation and power-sharing problems for cyber-physical microgrids (MGs) under network denial-of-service (DoS) attacks and time-varying communication delays. Compared to conventional distributed controllers based on a system model with ideal communication, a distributed security control protocol is designed. Benefiting from the developed security control method, the adverse effects of network DoS attacks and communication delays can be resisted. Then, a sufficient condition, which is used to achieve the achieve frequency restoration and power-sharing, is established according to the frequency and duration of DoS attacks. By using the average dwell time method and the Lyapunov stability theory, it is theoretically proved that the proposed control scheme can guarantee the stability of the overall AC microgrid system. In order to illustrate the proposed scheme, simulation studies are carried out based on an islanded AC microgrid system with four distributed generators (DGs) built in the simulation. The results do show its effectiveness and also verify the established theoretical results.

本文考虑了在网络拒绝服务（DoS）攻击和时变通信延迟下，网络物理微电网（MG）的频率调节和功率共享问题。与基于具有理想通信的系统模型的常规分布式控制器相比，设计了一种分布式安全控制协议。得益于已开发的安全控制方法，可以抵御网络DoS攻击和通信延迟的不利影响。然后，根据DoS攻击的频率和持续时间，建立足够的条件，以实现频率恢复和功率共享。通过使用平均停留时间方法和Lyapunov稳定性理论，理论上证明了所提出的控制方案可以保证整个交流微电网系统的稳定性。为了说明所提出的方案，基于一个岛上的交流微电网系统进行了仿真研究，该系统带有四个内置在其中的分布式发电机（DG）。结果确实显示了其有效性，并验证了已建立的理论结果。