Second-order consensus in time-delayed networks based on periodic edge-event driven control

Abstract The second-order consensus problems in multi-agent systems with undirected topologies and time-invariant delays are considered in this paper. The time-delay robustness of a consensus protocol based on periodic edge-event driven control is investigated, and the studied protocol can largely reduce the communication and controller-updating costs. The relationship between time delays and event-detecting period is characterized. By Lyapunov methods, it is shown that the protocol can solve state consensus problems when the interaction topology is connected, and the system does not exhibit Zeno behavior. Finally, simulations are given to demonstrate the effectiveness of our theoretical results.

[1]  Long Wang,et al.  Connectivity preservation for multi-agent rendezvous with link failure , 2012, Autom..

[2]  Tongwen Chen,et al.  Average sampled-data consensus driven by edge events , 2012, Proceedings of the 31st Chinese Control Conference.

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

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

[5]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

[6]  Karl Henrik Johansson,et al.  Distributed Event-Triggered Control for Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.

[7]  Long Wang,et al.  Event-Based Second-Order Consensus Control for Multi-Agent Systems via Synchronous Periodic Event Detection , 2015, IEEE Transactions on Automatic Control.

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

[9]  K. Åström,et al.  Comparison of Riemann and Lebesgue sampling for first order stochastic systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[10]  Huijun Gao,et al.  Synchronous Hybrid Event- and Time-Driven Consensus in Multiagent Networks With Time Delays , 2016, IEEE Transactions on Cybernetics.

[11]  Tongwen Chen,et al.  Sampled-data consensus in multi-agent systems with asynchronous hybrid event-time driven interactions , 2016, Syst. Control. Lett..

[12]  Emilio Frazzoli,et al.  Distributed event-triggered control strategies for multi-agent systems , 2009, 2009 47th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[13]  Guangming Xie,et al.  Consensus in networked multi-agent systems via sampled control: Fixed topology case , 2009, 2009 American Control Conference.

[14]  Tongwen Chen,et al.  Event based agreement protocols for multi-agent networks , 2013, Autom..

[15]  Ella M. Atkins,et al.  Second-order Consensus Protocols in Multiple Vehicle Systems with Local Interactions , 2005 .

[16]  Guangming Xie,et al.  Consensus control for a class of networks of dynamic agents , 2007 .

[17]  Sonia Martínez,et al.  Robust rendezvous for mobile autonomous agents via proximity graphs in arbitrary dimensions , 2006, IEEE Transactions on Automatic Control.

[18]  Richard M. Murray,et al.  INFORMATION FLOW AND COOPERATIVE CONTROL OF VEHICLE FORMATIONS , 2002 .

[19]  Long Wang,et al.  Sampled-Data Based Consensus of Continuous-Time Multi-Agent Systems With Time-Varying Topology , 2011, IEEE Transactions on Automatic Control.

[20]  Yongcan Cao,et al.  Sampled-data discrete-time coordination algorithms for double-integrator dynamics under dynamic directed interaction , 2010, Int. J. Control.

[21]  Guangming Xie,et al.  Consensus in networked multi-agent systems via sampled control: Switching topology case , 2009, 2009 American Control Conference.

[22]  Tongwen Chen,et al.  Sampled-data consensus in switching networks of integrators based on edge events , 2015, Int. J. Control.

[23]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[24]  George J. Pappas,et al.  Flocking in Fixed and Switching Networks , 2007, IEEE Transactions on Automatic Control.

[25]  W. P. M. H. Heemels,et al.  Periodic Event-Triggered Control for Linear Systems , 2013, IEEE Trans. Autom. Control..