Consensus problem of coupled dynamic agents with communication delay

Coupled consensus of multiple second-order dynamic agents with communication delay is considered in this paper. Based on frequency-domain analysis, sufficient and necessary condition, which depends on the communication delay and the control parameters, is obtained for two coupled dynamic agents under dynamical consensus algorithm converging to the stationary consensus, firstly. Moreover, the results of two coupled dynamic agents are extended to three coupled dynamic agents whose interconnection topology is a undirected line. Simulation results demonstrate the correctness of the results.

[1]  F. Xiao,et al.  A new approach to consensus problems for discrete-time multiagent systems with time-delays , 2006 .

[2]  Daizhan Cheng,et al.  Lyapunov-Based Approach to Multiagent Systems With Switching Jointly Connected Interconnection , 2007, IEEE Transactions on Automatic Control.

[3]  Long Wang,et al.  A new approach to consensus problems in discrete-time multiagent systems with time-delays , 2006, 2006 American Control Conference.

[4]  Mark W. Spong,et al.  Passivity-Based Control of Multi-Agent Systems , 2006 .

[5]  M. Cao,et al.  Reaching an Agreement Using Delayed Information , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

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

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

[8]  Ella M. Atkins,et al.  Distributed multi‐vehicle coordinated control via local information exchange , 2007 .

[9]  Liu Chenglin,et al.  Consensus of Multi-agent System with Diverse Communication Delays , 2006, 2007 Chinese Control Conference.

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

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

[12]  Junping Du,et al.  Distributed Consensus Control for Second-Order Agents with Fixed Topology and Time-Delay , 2006, 2007 Chinese Control Conference.

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

[14]  Housheng Su,et al.  Second-order consensus of multiple agents with coupling delay , 2008, 2008 7th World Congress on Intelligent Control and Automation.

[15]  Jean-Jacques E. Slotine,et al.  Contraction analysis of time-delayed communications and group cooperation , 2006, IEEE Transactions on Automatic Control.

[16]  Jing Wang,et al.  Consensus over networks with dynamic channels , 2008, 2008 American Control Conference.

[17]  Andrea L. Bertozzi,et al.  Stability of a second order consensus algorithm with time delay , 2008, 2008 47th IEEE Conference on Decision and Control.

[18]  L. Moreau,et al.  Stability of continuous-time distributed consensus algorithms , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

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