This chapter investigates the cluster consensusCluster consensus tracking problem of the high-order multi-agent systemsMulti-agent systems (MASs) that are beset by time-varying unknown nonidentical direction (TVUND) faults under multiple cyber attacksCyber attacks, including denial-of-service (DoS) attacks and false data injection attacks (FDIAs). Prompted by this, a fully distributed hierarchical event-triggered (ET) intrusion-Intrusion-tolerant and fault-tolerantFault-tolerant controller is introduced. This controller operates across the cyber layer and the physical layer and is based on the Nussbaum functionNussbaum function technique. It incorporates a state-dependent asynchronous ET mechanism (ETM) that ensures there is a positive time interval between triggers. The created cyber layer facilitates communication between various agents, preventing direct physical interaction and thereby minimizing the spread of errors. This dual-layer control frame significantly enhances the flexibility of control design when compared to single-layer frame. Furthermore, a groundbreaking stability lemma based on the Nussbaum function (Lemma 12.1) has been provided for the first time. Similar to Chap.  11 , the control scheme can align the input direction with the fault direction by utilizing the Nussbaum function.

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Intrusion- and Fault-Tolerant Cluster Consensus of MASs with Multiple Attacks

  • Xiang-Gui Guo,
  • Pei-Ming Liu,
  • Dong-Yu Zhang,
  • Jian-Liang Wang,
  • Lei Guo

摘要

This chapter investigates the cluster consensusCluster consensus tracking problem of the high-order multi-agent systemsMulti-agent systems (MASs) that are beset by time-varying unknown nonidentical direction (TVUND) faults under multiple cyber attacksCyber attacks, including denial-of-service (DoS) attacks and false data injection attacks (FDIAs). Prompted by this, a fully distributed hierarchical event-triggered (ET) intrusion-Intrusion-tolerant and fault-tolerantFault-tolerant controller is introduced. This controller operates across the cyber layer and the physical layer and is based on the Nussbaum functionNussbaum function technique. It incorporates a state-dependent asynchronous ET mechanism (ETM) that ensures there is a positive time interval between triggers. The created cyber layer facilitates communication between various agents, preventing direct physical interaction and thereby minimizing the spread of errors. This dual-layer control frame significantly enhances the flexibility of control design when compared to single-layer frame. Furthermore, a groundbreaking stability lemma based on the Nussbaum function (Lemma 12.1) has been provided for the first time. Similar to Chap.  11 , the control scheme can align the input direction with the fault direction by utilizing the Nussbaum function.