Exponential Voltage Regulation in islanded Microgrids over uncertain communication links and heterogeneous time-delays

While distributed control solutions enhance modularity, scalability, and robustness of Micro-grids (MGs), compared to traditional centralized control approaches, their synthesis and analysis are more complicated due to the insertion of shared communication networks in feedback control loops, which enable the information exchange among spatially Distributed Generations (DGs). Thus, several network-induced communication constraints may arise during data transmission/acquisition, which can compromise the global stability of the entire MG. Therefore, this work introduces a unified resilient distributed control approach to solve the voltage regulation problem in inverter-based islanded MG undergoing both uncertain imperfection-prone communication links and heterogeneous time-varying delays whose co-presence, to the best of authors knowledge, has not been considered before. It is worth mentioning that the modeling of link uncertainties exploited through this work can cover different classes of communication failures and data manipulation attacks. The voltage exponential stability of the entire MG is analytically proven by exploiting the Lyapunov-Krasovskii theory, which provides stability conditions in terms of feasible Linear Matrix Inequalities (LMIs) depending on both maximum admissible delays and communication links uncertainties upper-bounds preserving the stability. Numerical results confirm the effectiveness and the resilience of the theoretical derivation.