Resilient Consensus for Networked Systems with Hidden Nodes and Edges: Detection, Isolation, and Control

This paper addresses the resilient consensus problem of networked systems under hybrid attacks by co-designing the network and control layers. To ensure system stability and enhance robustness, the approach involves constructing hidden nodes and edges, with three critical steps: detection, isolation, and control. Firstly, auxiliary variables are employed as information carriers to estimate neighboring states and detect stealthy attacks, following the mechanism of safe diffusion. Secondly, compromised nodes are isolated (removed) after identification to prevent the propagation of attacks, with an emphasis on the connectivity conditions for achieving resilient consensus under various attack scenarios. Thirdly, a secure control algorithm is developed for unaffected nodes to maintain system consensus post-isolation. Finally, simulations validate the algorithm's effectiveness while demonstrating its advantages due to highly tolerant isolation conditions and robust anti-attack performance. Overall, this study provides a solution for resilient control of networked systems under single or hybrid complex cyber-attacks.