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This paper presents a robust secondary control strategy for frequencysynchronization and active power sharing for inverter-based microgrids. Theproblem is addressed in a multi-agent fashion where the local controllers ofthe distributed generators play the role of agents, and communication isaffected by time-varying delays. {The approach is fully distributed and basedon a synergic combination of linear consensus and integral sliding-modecontrol. Lyapunovanalysis is presented to assess the stability properties ofthe closed loop.} Delay-dependent stability conditions are expressed as a setof linear matrix inequalities whose solution yields appropriate control gainssuch that frequency restoration is achieved despite delays and active powersharing constraints. Simulations confirm the effectiveness of the proposedcontrol strategy.

Distributed robust secondary frequency control of inverter-based microgrids under time-varying communication delays