Distributed secure sampled-data control for distributed generators and energy storage systems in microgrids under abnormal deception attacks

Abstract

In this work, we investigate the active power sharing (APS) and energy balancing (EB) issues between distributed generators (DGs) and energy storage systems (ESSs) in microgrids with abnormal deception attacks. Firstly, the mathematical model of APS and EB issues under abnormal deception attacks is established, in which attack signals can tamper with the transmitted information and change appropriately with the system’s current state. Next, a distributed secure memory sampled-data controller is designed for APS and EB problems, and the corresponding solving algorithm is given. Furthermore, in order to reduce the conservatism of the results, an improved delay-dependent looped Lyapunov–Krasovskii functional is introduced by adding the combination term of time delay and free matrix. Meanwhile, the high dimensional linear matrix inequality (LMI) in the proposed control algorithm is decomposed into several low dimensional LMIs based on the decoupled method. Finally, a simulation experiment in microgrids is employed to demonstrate the effectiveness of the designed control scheme.