Brief paper: High-order consensus of heterogeneous multi-agent systems with unknown communication delays

This paper studies the high-order consensus problem for heterogeneous multi-agent systems with unknown communication delays. A necessary and sufficient condition is given for the existence of a high-order consensus solution to heterogeneous multi-agent systems. The condition shows that, for systems with diverse communication delays, high-order consensus does not require the self-delay of each agent to be equal to the corresponding communication delay. When the communication delays are unknown, a simple adaptive adjustment algorithm is presented for on-line adjusting self-delays.

[1]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[2]  Richard M. Murray,et al.  Information flow and cooperative control of vehicle formations , 2004, IEEE Transactions on Automatic Control.

[3]  Daizhan Cheng,et al.  Consensus of multi-agent linear dynamic systems† , 2008 .

[4]  M. Spong,et al.  Agreement with non-uniform information delays , 2006, 2006 American Control Conference.

[5]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[6]  A. Jadbabaie,et al.  Effects of Delay in Multi-Agent Consensus and Oscillator Synchronization , 2010, IEEE Transactions on Automatic Control.

[7]  Luc Moreau,et al.  Stability of multiagent systems with time-dependent communication links , 2005, IEEE Transactions on Automatic Control.

[8]  Yu-Ping Tian,et al.  Consensus of Multi-Agent Systems With Diverse Input and Communication Delays , 2008, IEEE Transactions on Automatic Control.

[9]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[10]  Jiangping Hu,et al.  Leader-following coordination of multi-agent systems with coupling time delays , 2007, 0705.0401.

[11]  F. Xiao,et al.  Consensus problems for high-dimensional multi-agent systems , 2007 .

[12]  Glenn Vinnicombe,et al.  Heterogeneity and scalability in group agreement protocols: Beyond small gain and passivity approaches , 2010, Autom..

[13]  Hyungbo Shim,et al.  Consensus of high-order linear systems using dynamic output feedback compensator: Low gain approach , 2009, Autom..

[14]  D. Etter,et al.  Adaptive estimation of time delays in sampled data systems , 1981 .

[15]  Murat Arcak,et al.  Passivity as a Design Tool for Group Coordination , 2007, IEEE Transactions on Automatic Control.