Mean-square consensus of heterogeneous multi-agent systems with communication noises

Abstract This paper addresses the mean-square consensus problems of continuous-time heterogeneous multi-agent systems with communication noises. First, in order to attenuate the communication noises, time-varying consensus gains are applied in the consensus algorithm. Then, by using the tools of algebraic graph theory and stochastic analysis, sufficient conditions for the mean-square consensus are given for the cases with and without a leader. Finally, simulations are provided to demonstrate the effectiveness of the proposed algorithms.

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

[2]  Lihua Xie,et al.  An input-based triggering approach to leader-following problems , 2017, Autom..

[3]  Frank L. Lewis,et al.  Cooperative Output Regulation of Singular Heterogeneous Multiagent Systems , 2016, IEEE Transactions on Cybernetics.

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

[5]  Yingmin Jia,et al.  Finite-time consensus for second-order stochastic multi-agent systems with nonlinear dynamics , 2015, Appl. Math. Comput..

[6]  Long Cheng,et al.  A Mean Square Consensus Protocol for Linear Multi-Agent Systems With Communication Noises and Fixed Topologies , 2014, IEEE Transactions on Automatic Control.

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

[8]  Fei Liu,et al.  Stationary consensus of heterogeneous multi-agent systems with bounded communication delays , 2011, Autom..

[9]  Haruki Ueno,et al.  A Frame-Based Knowledge Model for Heterogeneous Multi-Robot System (特集:ロボット) , 2005 .

[10]  Frank L. Lewis,et al.  Consensus of heterogeneous first‐ and second‐order multi‐agent systems with directed communication topologies , 2015 .

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

[12]  Peng Shi,et al.  Consensus of Multiagent Systems Using Aperiodic Sampled-Data Control , 2016, IEEE Transactions on Cybernetics.

[13]  Ljupco Kocarev,et al.  Tracking Control of Networked Multi-Agent Systems Under New Characterizations of Impulses and Its Applications in Robotic Systems , 2016, IEEE Transactions on Industrial Electronics.

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

[15]  Peng Shi,et al.  Output Synchronization of Nonidentical Linear Multiagent Systems , 2017, IEEE Transactions on Cybernetics.

[16]  Zhiguo Liu,et al.  Distributed consensus of a class of networked heterogeneous multi-agent systems , 2014, J. Frankl. Inst..

[17]  Long Wang,et al.  Distributed consensus of heterogeneous multi-agent systems with fixed and switching topologies , 2012, Int. J. Control.

[18]  Yang Tang,et al.  Stability Analysis of Stochastic Delayed Systems With an Application to Multi-Agent Systems , 2016, IEEE Transactions on Automatic Control.

[19]  Jong-Hwan Kim,et al.  A cooperative multi-agent system and its real time application to robot soccer , 1997, Proceedings of International Conference on Robotics and Automation.

[20]  Jay A. Farrell,et al.  Distributed Continuous-Time Optimization: Nonuniform Gradient Gains, Finite-Time Convergence, and Convex Constraint Set , 2017, IEEE Transactions on Automatic Control.

[21]  Gang Feng,et al.  Output Consensus of Heterogeneous Linear Multi-Agent Systems by Distributed Event-Triggered/Self-Triggered Strategy , 2017, IEEE Transactions on Cybernetics.

[22]  Hyungbo Shim,et al.  Output Consensus of Heterogeneous Uncertain Linear Multi-Agent Systems , 2011, IEEE Transactions on Automatic Control.

[23]  Peng Shi,et al.  Adaptive output synchronization of heterogeneous network with an uncertain leader , 2017, Autom..

[24]  Tingting Pan,et al.  Consensus of heterogeneous multi-agent systems with switching jointly-connected interconnection , 2015 .

[25]  Xu Wang,et al.  Necessary and Sufficient Conditions for Consensus of Double-Integrator Multi-Agent Systems With Measurement Noises , 2011, IEEE Transactions on Automatic Control.

[26]  Tao Li,et al.  Mean square average-consensus under measurement noises and fixed topologies: Necessary and sufficient conditions , 2009, Autom..

[27]  Tingting Pan,et al.  Distributed Coordination Control of First- and Second-Order Multiagent Systems with External Disturbances , 2015 .