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As a promising paradigm, Federated Learning (FL)-based distributed intrusion detection offers potent protection for the network security of Industrial Internet of Things (IIoT) systems. Nonetheless, the practical deployment of IIoT systems occurs in a highly-complex and dynamic distributed environment. The ever-growing and dynamically-evolving cyber attacks will render the FL-based intrusion detection model inefficient, since FL cannot gracefully learn from the dynamic traffic data streams to identify new attacks. To address this issue, we propose the evolutionary distributed intrusion detection system based on federated continual representation learning, designed to continually capture effective feature representations of emerging attacks from dynamic traffic data streams. Specifically, we develop the supervised contrastive loss and the global information-aware regularization loss to alleviate the catastrophic forgetting on the previously observed attacks and mitigate the data heterogeneity across clients. Besides, we propose the prototype variance-based memory update strategy to ensure the effective memory replay data. Extensive experimental results demonstrate our proposed method outperforms the state-of-the-art methods by 13.3%–31.5% in terms of average accuracy on a real energy intrusion detection dataset. [ABSTRACT FROM AUTHOR]