Leader-Following Consensus of Nonlinear Multi-agent System via a Distributed ET Impulsive Control Strategy

This paper investigates the leader-following consensus problem of nonlinear multi-agent systems with directed topology by a novel delayed impulsive controller. The impulsive moments are determined by an event-triggered condition. Meanwhile, we also consider the delays in impulsive term on account of the network’s limited communication. Some sufficient conditions are derived to achieve the leader-following consensus, and the Zeno-behavior dose not exhibit. A numeral example is derived to show the validity of our results.

[1]  David J. Hill,et al.  Impulsive Consensus for Complex Dynamical Networks with Nonidentical Nodes and Coupling Time-Delays , 2011, SIAM J. Control. Optim..

[2]  Feng Qian,et al.  Network-based leader-following consensus of nonlinear multi-agent systems via distributed impulsive control , 2017, Inf. Sci..

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

[4]  Tingwen Huang,et al.  Impulsive control and synchronization of nonlinear system with impulse time window , 2014 .

[5]  Tingwen Huang,et al.  Event-Triggering Sampling Based Leader-Following Consensus in Second-Order Multi-Agent Systems , 2015, IEEE Transactions on Automatic Control.

[6]  Z. Guan,et al.  Leader-following finite-time consensus for multi-agent systems with jointly-reachable leader , 2012 .

[7]  Gang Feng,et al.  Event-Based Impulsive Control of Continuous-Time Dynamic Systems and Its Application to Synchronization of Memristive Neural Networks , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[8]  Jinde Cao,et al.  $M$-Matrix Strategies for Pinning-Controlled Leader-Following Consensus in Multiagent Systems With Nonlinear Dynamics , 2013, IEEE Transactions on Cybernetics.

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

[10]  W. P. M. H. Heemels,et al.  Output-Based Event-Triggered Control With Guaranteed ${\cal L}_{\infty}$-Gain and Improved and Decentralized Event-Triggering , 2012, IEEE Transactions on Automatic Control.

[11]  Gang Feng,et al.  Consensus of Multi-Agent Networks With Aperiodic Sampled Communication Via Impulsive Algorithms Using Position-Only Measurements , 2012, IEEE Transactions on Automatic Control.

[12]  Daniel W. C. Ho,et al.  A consensus recovery approach to nonlinear multi-agent system under node failure , 2016, Inf. Sci..

[13]  Athanasios V. Vasilakos,et al.  Differential Evolution With Event-Triggered Impulsive Control , 2015, IEEE Transactions on Cybernetics.

[14]  Jinde Cao,et al.  A unified synchronization criterion for impulsive dynamical networks , 2010, Autom..

[15]  Yiguang Hong,et al.  Distributed Observers Design for Leader-Following Control of Multi-Agent Networks (Extended Version) , 2017, 1801.00258.

[16]  Fuad E. Alsaadi,et al.  Unified synchronization criteria in an array of coupled neural networks with hybrid impulses , 2018, Neural Networks.

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

[18]  Jinde Cao,et al.  Leader-following consensus of non-linear multi-agent systems with jointly connected topology , 2014 .

[19]  Daizhan Cheng,et al.  Leader-following consensus of second-order agents with multiple time-varying delays , 2010, Autom..