Distributed Resilient Frequency Control for Distributed Energy Sources Against High-Density Misbehaving Agents

This article studies the resilient leader-follower tracking problem for the frequency control of distributed energy sources(DESs), and focuses on scenarios with a high density of misbehaving agents. To tackle the problem, we propose a fully distributed resilient consensus protocol, which utilizes confidence weights to evaluate the level of trust among agents with a first-order filter and a softmax-type function. The protocol theoretically ensures that the system is uniformly ultimately bounded, even in the presence of high-density mis-behaving agents (that is, for each follower, it can have more misbehaving neighbors compared to normal neighbors). We also demonstrate the fast practical convergence of the proposed protocol with a simulation for a frequency control problem of DESs. Our study is a significant step towards enhancing the reliability and stability of modern power systems.