Distributed Secure Consensus for Second-Order Multi-Agent Systems under Replay Attacks

This paper is concerned with secure consensus of second-order discrete-time multi-agent systems under replay attacks. State information is transmitted over a communication network and each agent may be attacked by an adversary who is able to replay the state information sent from its neighbors maliciously. A consensus protocol based on distributed model predictive control is developed in the presence of replay attacks. The sufficient conditions for multi-agent systems to achieve secure consensus under replay attacks is derived. The effectiveness of the consensus protocol based on distributed model predictive control is illustrated through numerical examples.