Dynamic Event-Triggered Control for Leader-Following Consensus of Multiagent Systems

In this paper, the leader-following consensus problem of multiagent systems with general dynamics under event-triggered mechanisms is investigated. A centralized event-triggered mechanism (CEM) is first proposed. Then, a distributed dynamic event-triggered mechanism is developed by introducing an internal variable. In the CEM case, each agent uses global information of the multiagent system, while in the distributed case, each agent only uses local information of its own and its neighbors. The multiagent system can achieve asymptotic consensus as well as exclude the Zeno phenomenon under the designed event-triggered rules in both cases. A multiagent system consisting of interconnected pendulums is provided to demonstrate the merits and correctness of the proposed methods.

[1]  Bo Wei,et al.  Edge event-triggered control for multi-agent systems under directed communication topologies , 2018, Int. J. Control.

[2]  Karl Henrik Johansson,et al.  Event-based broadcasting for multi-agent average consensus , 2013, Autom..

[3]  Jinde Cao,et al.  Event-Triggered Schemes on Leader-Following Consensus of General Linear Multiagent Systems Under Different Topologies , 2017, IEEE Transactions on Cybernetics.

[4]  Jinde Cao,et al.  Consensus of Leader-Following Multiagent Systems: A Distributed Event-Triggered Impulsive Control Strategy , 2019, IEEE Transactions on Cybernetics.

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

[6]  Wenwu Yu,et al.  Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems , 2010, Autom..

[7]  Eloy García,et al.  Decentralized event-triggered consensus with general linear dynamics , 2014, Autom..

[8]  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.

[9]  Guo-Xing Wen,et al.  Observer-Based Adaptive Backstepping Consensus Tracking Control for High-Order Nonlinear Semi-Strict-Feedback Multiagent Systems , 2016, IEEE Transactions on Cybernetics.

[10]  Daizhan Cheng,et al.  Leader-following consensus of multi-agent systems under fixed and switching topologies , 2010, Syst. Control. Lett..

[11]  Karl Henrik Johansson,et al.  Distributed event-based control for interconnected linear systems , 2011, IEEE Conference on Decision and Control and European Control Conference.

[12]  Weiguo Xia,et al.  Observer-Based Consensus for Multiagent Systems Under Stochastic Sampling Mechanism , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[13]  Daniel W. C. Ho,et al.  Observer-Based Event-Triggering Consensus Control for Multiagent Systems With Lossy Sensors and Cyber-Attacks , 2017, IEEE Transactions on Cybernetics.

[14]  Jiangping Hu,et al.  Tracking control for multi-agent consensus with an active leader and variable topology , 2006, Autom..

[15]  Tao Liu,et al.  Distributed event-triggered control for output synchronization of dynamical networks with non-identical nodes , 2014, 53rd IEEE Conference on Decision and Control.

[16]  Tao Liu,et al.  Distributed event-triggered control for asymptotic synchronization of dynamical networks , 2015, Autom..

[17]  Zheng-Guang Wu,et al.  Event-Triggered Control for Consensus of Multiagent Systems With Fixed/Switching Topologies , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[18]  Randal W. Beard,et al.  A coordination architecture for spacecraft formation control , 2001, IEEE Trans. Control. Syst. Technol..

[19]  Manuel Mazo,et al.  Decentralized Event-Triggered Control Over Wireless Sensor/Actuator Networks , 2010, IEEE Transactions on Automatic Control.

[20]  Qing-Long Han,et al.  A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems , 2014, Autom..

[21]  Jie Huang,et al.  Robust practical output regulation for a class of uncertain linear minimum‐phase systems by output‐based event‐triggered control , 2017 .

[22]  Wai Kin Chan,et al.  Consensus Control With Failure—Wait or Abandon? , 2016, IEEE Transactions on Cybernetics.

[23]  Gang Feng,et al.  Distributed event-triggered control of multi-agent systems with combinational measurements , 2013, Autom..

[24]  Tao Liu,et al.  Distributed Event-Triggered Control for Synchronization of Dynamical Networks with Estimators , 2013 .

[25]  Wei Wang,et al.  Pursuing an evader through cooperative relaying in multi-agent surveillance networks , 2017, Autom..

[26]  Yan-Jun Liu,et al.  Formation Control With Obstacle Avoidance for a Class of Stochastic Multiagent Systems , 2018, IEEE Transactions on Industrial Electronics.

[27]  Zhong-Ping Jiang,et al.  Event-Based Leader-following Consensus of Multi-Agent Systems with Input Time Delay , 2015, IEEE Transactions on Automatic Control.

[28]  Valery A. Ugrinovskii,et al.  Event-triggered leader-following tracking control for multivariable multi-agent systems , 2016, Autom..

[29]  Daniel W. C. Ho,et al.  Finite-Horizon $H_\infty $ Consensus for Multiagent Systems With Redundant Channels via An Observer-Type Event-Triggered Scheme , 2018, IEEE Transactions on Cybernetics.

[30]  Antoine Girard,et al.  Dynamic Triggering Mechanisms for Event-Triggered Control , 2013, IEEE Transactions on Automatic Control.

[31]  Randal W. Beard,et al.  Distributed Consensus in Multi-vehicle Cooperative Control - Theory and Applications , 2007, Communications and Control Engineering.

[32]  Daniel W. C. Ho,et al.  Clustered Event-Triggered Consensus Analysis: An Impulsive Framework , 2016, IEEE Transactions on Industrial Electronics.

[33]  Eloy García,et al.  Periodic Event-Triggered Synchronization of Linear Multi-Agent Systems With Communication Delays , 2015, IEEE Transactions on Automatic Control.

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

[35]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[36]  Qing-Long Han,et al.  Event-Based Set-Membership Leader-Following Consensus of Networked Multi-Agent Systems Subject to Limited Communication Resources and Unknown-But-Bounded Noise , 2017, IEEE Transactions on Industrial Electronics.

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

[38]  Jinde Cao,et al.  A Distributed Finite-Time Consensus Algorithm for Higher-Order Leaderless and Leader-Following Multiagent Systems , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[39]  Xiaofeng Wang,et al.  Decentralized event-triggered consensus of Linear Multi-agent Systems under Directed Graphs , 2015, 2015 American Control Conference (ACC).