Event-Triggered Sliding Mode Load Frequency Control of Multiarea Power Systems Under Periodic Denial-of-Service Attacks

A sliding mode load frequency control (SMLFC) problem is committed for interconnected power systems under periodic denial-of-service (DoS) attacks. A suitable sliding surface is designed to deduce the state space equation in the multiarea power systems. An event-triggered device is used to determine whether the sampling state should be transmitted, and a new event-triggered condition is provided to match periodic DoS attacks. By utilizing the multiple Lyapunov-Krasovskii function approach, the globally exponential stability is proved based on matrix inequalities and the exponential stability criterion is subsequently obtained in terms of linear matrix inequalities. A suitable control law is established to ensure the reachability of power system. The feasibility and superiority of the proposed SMLFC are illustrated by numerical examples.