Scaled leader-following consensus of networked agents under packet losses

This paper is concerned with the scaled leader-following consensus in discrete-time multi-agent systems with packet losses. The scaled leader-following consensus means that agents eventually reach convergence at their own scale following the state of the leader. In comparison to existing scaled consensus literature, the environment of packet losses is introduced into scaled consensus issue for the first time in this article, in which the success or failure of information transmission in each link is independently represented by a Bernoulli random variable. Based on a stochastic distributed control protocol, it is shown that the scaled leader-following consensus with packet losses can be achieved if and only if the interaction topology contains a spanning tree rooted at the leader. Finally, a simulation example is shown to illustrate the effectiveness and feasibility of the theoretical result.

[1]  Wei Xing Zheng,et al.  Bipartite consensus for multi-agent systems on directed signed networks , 2013, 52nd IEEE Conference on Decision and Control.

[2]  Long Wang,et al.  Group consensus of multi-agent systems with directed information exchange , 2012, Int. J. Syst. Sci..

[3]  Jonathan H. Manton,et al.  Stochastic Consensus Seeking With Noisy and Directed Inter-Agent Communication: Fixed and Randomly Varying Topologies , 2010, IEEE Transactions on Automatic Control.

[4]  Lei Shi,et al.  Asynchronous group consensus for discrete-time heterogeneous multi-agent systems under dynamically changing interaction topologies , 2018, Inf. Sci..

[5]  Shengyuan Xu,et al.  Group consensus control for double‐integrator dynamic multiagent systems with fixed communication topology , 2014 .

[6]  Yang Shi,et al.  Scaled Group Consensus in Multiagent Systems With First/Second-Order Continuous Dynamics , 2018, IEEE Transactions on Cybernetics.

[7]  Yu-Ping Tian,et al.  Consensus of Data-Sampled Multi-Agent Systems With Random Communication Delay and Packet Loss , 2010, IEEE Transactions on Automatic Control.

[8]  Lihua Xie,et al.  Stability Analysis of Networked Sampled-Data Linear Systems With Markovian Packet Losses , 2009, IEEE Transactions on Automatic Control.

[9]  Sandip Roy,et al.  Scaled consensus , 2015, Autom..

[10]  Wei Xing Zheng,et al.  Asynchronous containment control for discrete-time second-order multi-agent systems with time-varying delays , 2017, J. Frankl. Inst..

[11]  Lei Shi,et al.  Consensus seeking in heterogeneous second-order multi-agent systems with switching topologies and random link failures , 2018, Neurocomputing.

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

[13]  Wei Xing Zheng,et al.  A novel analysis on the efficiency of hierarchy among leader-following systems , 2016, Autom..

[14]  Jinde Cao,et al.  Second-order consensus in multi-agent dynamical systems with sampled position data , 2011, Autom..

[15]  Guoqiang Hu,et al.  Consensus tracking for higher-order multi-agent systems with switching directed topologies and occasionally missing control inputs , 2013, Syst. Control. Lett..

[16]  Changbin Yu,et al.  Cluster consensus control of generic linear multi-agent systems under directed topology with acyclic partition , 2013, Autom..

[17]  Wei Xing Zheng,et al.  An Improved Stabilization Method for Sampled-Data Control Systems With Control Packet Loss , 2012, IEEE Transactions on Automatic Control.

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

[19]  Guanghui Wen,et al.  Consensus Tracking of Multi-Agent Systems With Lipschitz-Type Node Dynamics and Switching Topologies , 2014, IEEE Transactions on Circuits and Systems I: Regular Papers.

[20]  Wei Xing Zheng,et al.  On Leader–Follower Consensus With Switching Topologies: An Analysis Inspired by Pigeon Hierarchies , 2018, IEEE Transactions on Automatic Control.

[21]  Yang Tang,et al.  Sampled-Data Consensus of Linear Multi-agent Systems With Packet Losses , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[22]  Qing-Long Han,et al.  Network-based leader-following consensus for distributed multi-agent systems , 2013, Autom..

[23]  Maria Elena Valcher,et al.  On the consensus and bipartite consensus in high-order multi-agent dynamical systems with antagonistic interactions , 2014, Syst. Control. Lett..

[24]  Mengyin Fu,et al.  Consensus of Multi-Agent Systems With General Linear and Lipschitz Nonlinear Dynamics Using Distributed Adaptive Protocols , 2011, IEEE Transactions on Automatic Control.