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Distributed Consensus of Third‐order Multi‐agent Systems with Communication Delay
Author(s) -
Hou Wenying,
Fu Minyue,
Zhang Huanshui
Publication year - 2018
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1599
Subject(s) - integrator , consensus , control theory (sociology) , third order , multi agent system , double integrator , order (exchange) , class (philosophy) , stability (learning theory) , computer science , transformation (genetics) , telecommunications network , mathematical optimization , mathematics , control (management) , telecommunications , artificial intelligence , law , biochemistry , chemistry , bandwidth (computing) , finance , machine learning , economics , gene , political science
This paper studies the consensus problem for a class of general third‐order multi‐agent systems on an undirected connected network. By employing a variables transformation, the consensus control problem can be turned into a asymptotical stability problem. Then we present a necessary and sufficient condition for guaranteeing consensus by using Routh‐Hurwitz stability criterion. And this result can be applied to a special case of third‐order integrator systems. Also we will present a tolerable communication time delay for third‐order integrator systems under the assumption that multi‐agent systems can reach consensus without communication delay.