Microgrids are emerging as an important strategy to advance resiliency of modern electric power systems. In this paper, a robust decentralized secondary frequency control design for islanded microgrids is developed to enable resilient coordination and integration of distributed energy resources (DERs). We cast the control problem centrally under steady state and adopt the feedback-based Alternating Direction Method of Multipliers (ADMM) algorithm for solving the decentralized control updates. The ADMM algorithm uses measurements at various points in the system to solve for control signals. Measurements and control commands are sent over communication networks such as Ethernet-based local area networks in the IEC 61850 standard. To enhance the robustness to cyber intrusions, we modify the ADMM algorithm using the Round-Robin technique to detect malicious DERs. As a complementary defense, an agreement algorithm based on a fast computation of Kirchhoff law conditions is implemented for continuously detecting false measurements. The results are demonstrated through simulation for a representative microgrid topology.
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