Delay-Dependent Stability Analysis and Controller Design for LFC System under Hybrid Attacks

This paper investigates the problem of load frequency control (LFC) for power systems with electric vehicle (EV) under hybrid attacks, including time-delay attacks (TDA) and denial-of-service (DoS) attacks. The open network communication environment makes the LFC system vulnerable to cyber attacks. First, a multiple time-varying delay linear model of the LFC system with EV under hybrid attack is modeled. Then, a less conservative asymptotic stability criterion is proposed through the Lyapunov-Krasovskii functional (LKF) and delay-dependent region partitioning approach. Additionally, the output feedback controller gain problem is also solved by the convex optimization method. Finally, a numerical example and the LFC model system are exploited to illustrate the effectiveness and superiority of the theoretical results.