Resilient $H_{\infty}$ Load Frequency Control for Uncertain Isolated Microgrid under Stealth Attack

Stealth attacks and parameter uncertainties are becoming a compelling issue on load frequency control (LFC), directly affecting the resilience of the isolated microgrid. Due to the randomness of renewable power generation and the vulnerability increased by the stealth attack on the system, a resilient $H_{\infty}$ LFC method is presented to endure and quickly recovery system stability during disturbances. Based on the LFC model, a fake data injection (FDI) attack model is considered in the problem formulation to make the system robust against external attacks. To protect against the parameter uncertainties and FDI attack in the isolated microgrid, with the help of the least square rational function approximation method and the Gerschgorin circle theorem, $H_{\infty}$ controller is employed, the stability of the controller is proved by LMI inequality, and the existence condition of the system stability is also given. And their robustness characteristics are compared through various performance indices. The proposed control schemes are validated through a real-time software synchronisation environment.