Distributed Consensus of Third‐order Multi‐agent Systems with Communication Delay

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 c...

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Bibliographic Details
Published in:Asian journal of control 2018-03, Vol.20 (2), p.956-961
Main Authors: Hou, Wenying, Fu, Minyue, Zhang, Huanshui
Format: Article
Language:English
Subjects:
Communication
Control stability
Delay
Multi‐agent system
Routh‐Hurwitz stability criterion
Stability criteria
third‐order consensus
time delay
Time lag
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Summary: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.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.1599