Protocol‐Based PID Control for Stochastic Multiagent Systems Under Deception Attacks: Handling Quasi‐Consensus in Probability

ABSTRACT In this paper, we investigate the problem of observer‐based proportional‐integral‐derivative (PID) quasi‐consensus control for a specific class of stochastic multi‐agent systems (MASs) subject to deception attacks. This study is driven by practical engineering challenges where communication networks are vulnerable to attacks and resource constraints. We consider the scenario where the relative output vector of each agent, after being uniformly quantized and managed through a Round‐Robin scheduling protocol, is exposed to deception attacks. To address these challenges, we develop a novel distributed observer‐based PID control strategy tailored for stochastic MASs. This strategy effectively accounts for system randomness and defenses against deception attacks. Using matrix inequality and stochastic analysis techniques, we establish a framework of sufficient conditions for achieving quasi‐consensus in probability and derive the corresponding gain matrices. The proposed approach is validated through numerical simulations, demonstrating its effectiveness in maintaining consensus despite deception attacks and quantization effects.