Almost Sure Resilient Consensus Under Stochastic Interaction:Links Failure and Noisy Channels

• 成果类型: Article
• 署名作者: Rezaee, Hamed; Parisini, Thomas; Polycarpou, Marios M.
• 署名单位: Imperial College London; University of Trieste; University of Cyprus; University of Cyprus
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3043322
• 发表日期: 2021
• 页码: 5727-5741
• 关键词: STOCHASTIC PROCESSES; Noise measurement; Robustness; Technological innovation; ELECTRONIC MAIL; switches; safety; Almost sure consensus; communication noises; Cyber-physical systems; DISCRETE-TIME; malicious agents; multiagent systems (MASs); stochastic topology

摘要

The resilient consensus problem over a class of discrete-time linear multiagent systems is addressed. Because of external cyber-attacks, some agents are assumed to be malicious and not following a desired cooperative behavior. Thus, the objective consists in designing a control strategy for the healthy agents to reach consensus upon their state vectors, whereas due to interaction among the agents, the malicious agents try to prevent them to achieve consensus. Although this problem has been investigated by some researchers, under the existing approaches in the literature, achieving consensus is only guaranteed when the information exchange among the agents is deterministic. Based on this motivation, the main contribution of this article is on almost sure resilient consensus control of a network of healthy agents in the presence of stochastic links failure and communication noises. We design a discrete-time protocol for the set of the healthy agents, and we show that under some probabilistic conditions on interaction among the agents, achieving almost sure consensus among the healthy agents can be guaranteed. The results are also verified by numerical examples.