Switching-Like Event-Triggered Sliding Mode Load Frequency Control for Networked Power Systems Under Energy-Limited DoS Attacks

Abstract

In this work, the problem of an event-based <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathcal {L}_{2}-\mathcal {L}_{\infty }$ </tex-math></inline-formula> security control for power system load frequency control is discussed via a sliding mode control (SMC) strategy. Specifically, for responding to the Denial-of-Service attacks with limited energy, a switching-like event-triggered mechanism (ETM) is adopted, remedying the adverse impact of data losses. Meanwhile, synthesizing the robust SMC with the switching-like ETM, the sliding mode dynamics under cyber-attacks are established. Then, with Lyapunov stability theory, the sufficient criteria are deduced, ensuring that the resulting system can reach asymptotic stability with <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathcal {L}_{2}-\mathcal {L}_{\infty }$ </tex-math></inline-formula> performance. Correspondingly, the gain of an event-based load frequency SMC law, achieving the ideal system performance while assuring the reachability of sliding surface, is figured out by settling convex optimization problems. Finally, the serviceability and validity of the presented method are verified through an example with corresponding simulation results.