Open AccessRobust consensus of Lur'e networks with uncertain communications
Author(s) -
Liu Miao,
Li Zhongkui
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.1205
Subject(s) - bounded function , control theory (sociology) , computer science , consensus , unitary state , strongly connected component , spanning tree , robustness (evolution) , norm (philosophy) , telecommunications network , transmission (telecommunications) , mathematical optimization , mathematics , multi agent system , computer network , discrete mathematics , algorithm , telecommunications , artificial intelligence , mathematical analysis , control (management) , political science , law , biochemistry , chemistry , gene
This study addresses the robust consensus problem of a network of Lur'e systems coordinating over uncertain communication channels. The authors model each communication channel of the network as an ideal transmission system with the unitary transfer function perturbed by a norm‐bounded uncertainty, which is particularly susceptible to describe quantisation errors and communication noises. Based on the uncertain relative state information among neighbouring agents, a distributed consensus protocol is proposed and designed in terms of linear matrix inequalities to ensure robust consensus for both undirected connected graphs and leader‐follower graphs containing a directed spanning tree.