The Synchronization of Networked Harmonic Oscillators Under Denial-of-Service Attacks

This article is concerned with resilient control design for synchronization of multiple harmonic oscillators coupled via vulnerable network suffering from denial-of-service (DoS) attacks. The synchronization of multiple harmonic oscillators can be achieved under consideration of certain DoS attacks. A distinct resilient distributed control protocol is designed for individual harmonic oscillator by proposing a resilient logical packet processor (RLPP). Some sufficient conditions on the duration and frequency of attacks reflected by the bounds of lumped time-varying delay are derived by employing complete-type Lyapunov-Krasovskii functionals (LKFs). The gain matrix can be designed by solving a set of linear matrix inequalities by combining an optimization algorithm. Finally, the proposed synchronization control scheme is applied to a representative model of the single-phase photovoltaic grid interconnection process. Numerical simulations are provided to show the effectiveness of the developed method.