An LMI-Based Control Strategy for Large-Scale Systems With Applications to Interconnected Microgrid Clusters

This paper proposes a new LMI-based strategy for designing decentralized control, which is aimed at large-scale systems. A distinguishing feature of this approach is its ability to produce decentralized feedback laws without placing any structural constraints on the Lyapunov function. It also allows the user to control the number of LMI variables, which can significantly reduce the computational effort. The effectiveness of this method is illustrated through applications to interconnected microgrid clusters. Simulation results show that the proposed approach can be used to regulate energy exchanges between the clusters in a way that ensures robust stability.