Global controlled consensus of multi-agent systems with different agent dynamics and time-varying communication delay

This paper investigates the global bounded consensus problem of Networked Multi-Agent Systems exhibiting non-linear, non-identical agent dynamics with communication time-varying delay. Globally bounded controlled consensus conditions based on pinning control method and adaptive pinning control method are derived. The proposed consensus criteria ensures that all agents eventually move along desired trajectories in terms of boundedness. The proposed controlled consensus criteria generalizes the case of identical agent dynamics to the case of non-identical agent dynamics, and many related results of other researches in this area can be viewed as special cases of the above results. We finally demonstrate the effectiveness of the theoretical results by means of a numerical simulation.

[1]  Jorge Cortés,et al.  Distributed algorithms for reaching consensus on general functions , 2008, Autom..

[2]  Lin Huang,et al.  Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint , 2016, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  Vijay Kumar,et al.  Modeling and control of formations of nonholonomic mobile robots , 2001, IEEE Trans. Robotics Autom..

[4]  Pierre-Alexandre Bliman,et al.  Average consensus problems in networks of agents with delayed communications , 2005, CDC 2005.

[5]  Cheng-Lin Liu,et al.  Robust consensus of multi-agent systems with diverse input delays and asymmetric interconnection perturbations , 2009, Autom..

[6]  Li Tao,et al.  Group Motion Control of Multi-agent Systems Based on Complex Network , 2006, 2007 Chinese Control Conference.

[7]  Zengqiang Chen,et al.  Reaching a consensus via pinning control , 2009, Autom..

[8]  M. Areak,et al.  Passivity as a design tool for group coordination , 2006, 2006 American Control Conference.

[9]  Junan Lu,et al.  Pinning a Complex Delayed Dynamical Network to a Homogenous Trajectory , 2009, IEEE Transactions on Circuits and Systems II: Express Briefs.

[10]  Xiang Li,et al.  Pinning a complex dynamical network to its equilibrium , 2004, IEEE Trans. Circuits Syst. I Regul. Pap..

[11]  Guanrong Chen,et al.  Global Robust Stability and Synchronization of Networks With Lorenz-Type Nodes , 2009, IEEE Transactions on Circuits and Systems II: Express Briefs.

[12]  Tamio Arai,et al.  A distributed control scheme for multiple robotic vehicles to make group formations , 2001, Robotics Auton. Syst..

[13]  Ji Xiang,et al.  Pinning Control of Uncertain Complex Networks to a Homogeneous Orbit , 2009, IEEE Transactions on Circuits and Systems II: Express Briefs.

[14]  Maurizio Porfiri,et al.  Tracking and formation control of multiple autonomous agents: A two-level consensus approach , 2007, Autom..

[15]  Jürgen Kurths,et al.  Consensus over directed static networks with arbitrary finite communication delays. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Yingmin Jia,et al.  Distributed robust Hinfinity consensus control in directed networks of agents with time-delay , 2008, Syst. Control. Lett..

[17]  Sandro Zampieri,et al.  Trends in Networked Control Systems , 2008 .

[18]  Jun Zhao,et al.  Global synchronization of complex dynamical networks with non-identical nodes , 2008, 2008 47th IEEE Conference on Decision and Control.

[19]  Jorge Cortes,et al.  Global formation-shape stabilization of relative sensing networks , 2009, 2009 American Control Conference.

[20]  Tao Li,et al.  Decentralized tracking-type games for multi-agent systems with coupled ARX models: Asymptotic Nash equilibria , 2008, Autom..

[21]  Long Wang,et al.  Asynchronous Consensus in Continuous-Time Multi-Agent Systems With Switching Topology and Time-Varying Delays , 2006, IEEE Transactions on Automatic Control.

[22]  Wei Wu,et al.  Cluster Synchronization of Linearly Coupled Complex Networks Under Pinning Control , 2009, IEEE Transactions on Circuits and Systems I: Regular Papers.

[23]  R. Beard,et al.  Formation feedback control for multiple spacecraft via virtual structures , 2004 .

[24]  Elham Semsar-Kazerooni,et al.  Optimal consensus algorithms for cooperative team of agents subject to partial information , 2008, Autom..

[25]  Jun Zhao,et al.  Synchronization of Dynamical Networks With Nonidentical Nodes: Criteria and Control , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

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