In this paper, a resilient distributed $H_{\infty }$ consensus-based control scheme is proposed to be used in the secondary layer of the hierarchical control structure of AC heterogeneous autonomous microgrids (MGs). In the presented study, the external disturbance, the uncertainty on the communication links, and fixed time-delays (FTDs) are all considered as the destabilizing components of the time-varying topologies network. So, by applying $H_{\infty }$ theory to the reduced-order model of the system, sufficient conditions for the stability and robustness of the proposed controller are outlined based on Lyapunov-Krasovskii theory (resulting in the feasibility of linear matrix inequalities (LMIs), which yields the upper bound of time-delay that guarantee the stability of system), so that the $H_{\infty }$ performance index for uncertainty and disturbance are satisfied. Finally, to evaluate the performance of the control laws, offline digital time-domain simulation studies are performed on a test MG system in MATLAB/Simulink, and the obtained simulation results reveals the effectiveness, efficiency, authenticity, and accuracy of the proposed method in regulating MG voltage and frequency, providing accurate proportional active power-sharing, and state of charge (SoC) modification (balancing).

中文翻译：

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弹性的 H不确定时延通信的基于_∞共识的自主交流微电网控制

在本文中，弹性分布 $ H _ {\ infty} $ 提出了一种基于共识的控制方案，该方案将用于AC异构自治微电网（MG）的分层控制结构的第二层。在本研究中，外部干扰，通信链路的不确定性和固定时延（FTD）均被视为时变拓扑网络的不稳定因素。因此，通过应用 $ H _ {\ infty} $ 根据系统的降阶模型理论，基于Lyapunov-Krasovskii理论概述了所提出控制器的稳定性和鲁棒性的充分条件（导致线性矩阵不等式（LMI）的可行性，这产生了时间上限） -delay保证系统的稳定性），以便 $ H _ {\ infty} $ 满足不确定性和干扰性能指标。最后，为了评估控制律的性能，在MATLAB / Simulink中的测试MG系统上进行了离线数字时域仿真研究，所获得的仿真结果揭示了该方法的有效性，效率，真实性和准确性。调节MG电压和频率，提供准确的比例有功功率共享，以及充电状态（SoC）修改（平衡）。