Resilient Delayed Impulsive Control for Consensus of Multiagent Networks Subject to Malicious Agents

• Published in: IEEE transactions on cybernetics Vol. 52; no. 7; pp. 1 - 10
• Main Authors: Zhai, Yang, Liu, Zhi-Wei, Guan, Zhi-Hong, Gao, Zhiwei
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.07.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Communication delays; Consensus algorithm; Delays; Graphics; impulsive control; Linear matrix inequalities; multiagent network (MAN); Multiagent systems; resilient consensus; Safety; Topology; trusted agent; Upper bound
• ISSN: 2168-2267; 2168-2275; 2168-2275
• DOI: 10.1109/TCYB.2020.3035283

Impulsive control is widely applied to achieve the consensus of multiagent networks (MANs). It is noticed that malicious agents may have adverse effects on the global behaviors, which, however, are not taken into account in the literature. In this study, a novel delayed impulsive control strategy based on sampled data is proposed to achieve the resilient consensus of MANs subject to malicious agents. It is worth pointing out that the proposed control strategy does not require any information on the number of malicious agents, which is usually required in the existing works on resilient consensus. Under appropriate control gains and sampling period, a necessary and sufficient graphic condition is derived to achieve the resilient consensus of the considered MAN. Finally, the effectiveness of the resilient delayed impulsive control is well demonstrated via simulation studies.