Consensusability Margin Optimization for Second-Order Multiagent Systems With Communication Uncertainties

• 成果类型: Article
• 署名作者: Rong, Lina
• 署名单位: Nanjing University of Posts & Telecommunications
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3135270
• 发表日期: 2022
• 页码: 6255-6262
• 关键词: H-infinity optimization; Communication uncertainty; maximal consensusability margin; robust consensus

摘要

In this article, the H(infinity)optimization approach is used to study the consensusability margin optimization problems for distributed second-order sampled-data multiagent systems with communication uncertainties. The considered uncertainties are frequency-dependent and bounded in H(infinity )norms. Specifically, for both the state-based protocols with relative damping and absolute damping, this article attempts to answer two questions: 1) how to characterize the control parameters for achieving robust consensus; and 2) what is the maximal consensusability margin and how to find, if one exists, the parameter to achieve this optimal performance. It is shown that the consensusability margin optimization problems are constraint optimization problems, which are to be specified by specific problem parameters and can be discussed by designing the network complementary sensitivity function matrices of the closed-loop multiagent systems. Moreover, it is shown that the infimums of the H-infinity norms of the network complementary sensitivity function matrices under both protocols are independent of network topologies.