Asynchronous event-based sampling data for impulsive protocol on consensus of non-linear multi-agent systems

In this paper, we discuss the consensus problem of non-linear multi-agent systems where an impulsive protocol with event-based asynchronously sampled data is adopted. Systems that communicate by data asynchronously sampled in limited time intervals are constructed. By separating time instants at which the sampling and communication occur into different ones, resources for such activations that every agent must execute can be reallocated to reduce the system load at communication instants. Event-based schemes are introduced to manipulate the sampling behavior. Two cases that with and without leader in directed networks topologies are both investigated. Sufficient conditions for system parameters and the event-based sampling schemes are given to guarantee the consensus. Numerical simulations are presented to illustrate the effectiveness of our proposed method.

[1]  Zhao Yang Dong,et al.  Consensus analysis of multiagent systems with second-order nonlinear dynamics and general directed topology: An event-triggered scheme , 2016, Inf. Sci..

[2]  Guangming Xie,et al.  Second-order consensus of multi-agent systems in the cooperation-competition network with switching topologies: A time-delayed impulsive control approach , 2013, Syst. Control. Lett..

[3]  Xiaoqing Lu,et al.  Finite-Time Distributed Tracking Control for Multi-Agent Systems With a Virtual Leader , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[4]  Huijun Gao,et al.  Synchronous Hybrid Event- and Time-Driven Consensus in Multiagent Networks With Time Delays , 2016, IEEE Transactions on Cybernetics.

[5]  Zhiyong Chen,et al.  Semi-Global Consensus of Nonlinear Second-Order Multi-Agent Systems With Measurement Output Feedback , 2014, IEEE Transactions on Automatic Control.

[6]  P. Antsaklis,et al.  Asynchronous Consensus Protocols Using Nonlinear Paracontractions Theory , 2008, IEEE Transactions on Automatic Control.

[7]  Bo Liu,et al.  Asynchronous consensus of second-order multi-agent systems with impulsive control and measurement time-delays , 2018, Neurocomputing.

[8]  Zhong-Ping Jiang,et al.  Asynchronous Distributed Algorithms for Heading Consensus of Multi‐Agent Systems with Communication Delay , 2013 .

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

[10]  Guanrong Chen,et al.  A time-varying complex dynamical network model and its controlled synchronization criteria , 2004, IEEE Trans. Autom. Control..

[11]  Yang Shi,et al.  Consensus Control for a Multi-Agent System With Integral-Type Event-Triggering Condition and Asynchronous Periodic Detection , 2017, IEEE Transactions on Industrial Electronics.

[12]  Haibo Jiang,et al.  Impulsive synchronization of networked nonlinear dynamical systems , 2010 .

[13]  Gang Feng,et al.  Consensus Analysis Based on Impulsive Systems in Multiagent Networks , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[14]  Chuandong Li,et al.  Periodicity and stability for variable-time impulsive neural networks , 2017, Neural Networks.

[15]  Jingyuan Zhan,et al.  Asynchronous Consensus of Multiple Double-Integrator Agents With Arbitrary Sampling Intervals and Communication Delays , 2015, IEEE Transactions on Circuits and Systems I: Regular Papers.

[16]  Chuandong Li,et al.  Hybrid impulsive and switching Hopfield neural networks with state-dependent impulses , 2017, Neural Networks.

[17]  Chuandong Li,et al.  Leader-following fixed-time quantized consensus of multi-agent systems via impulsive control , 2019, J. Frankl. Inst..

[18]  Chuandong Li,et al.  Impulsive Consensus of Multiagent Systems With Limited Bandwidth Based on Encoding–Decoding , 2020, IEEE Transactions on Cybernetics.

[19]  Tongwen Chen,et al.  Sampled-data consensus in switching networks of integrators based on edge events , 2015, Int. J. Control.

[20]  Bo Liu,et al.  Pinning Consensus in Networks of Multiagents via a Single Impulsive Controller , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[21]  Sandra Hirche,et al.  Stationary Consensus of Asynchronous Discrete-Time Second-Order Multi-Agent Systems Under Switching Topology , 2012, IEEE Transactions on Industrial Informatics.

[22]  Hong Qiao,et al.  Distributed asynchronous event-triggered consensus of nonlinear multi-agent systems with disturbances: An extended dissipative approach , 2017, Neurocomputing.

[23]  Long Wang,et al.  Asynchronous Periodic Edge-Event Triggered Control for Double-Integrator Networks With Communication Time Delays , 2016, IEEE Transactions on Cybernetics.

[24]  Farzaneh Abdollahi,et al.  Consensus Problem in High-Order Multiagent Systems With Lipschitz Nonlinearities and Jointly Connected Topologies , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[25]  Junan Lu,et al.  Second-order consensus of multi-agent systems with nonlinear dynamics via impulsive control , 2014, Neurocomputing.

[26]  Peng Shi,et al.  Output Consensus Control of Multiagent Systems With Unknown Nonlinear Dead Zone , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[27]  Gang Feng,et al.  Observer-Based Output Feedback Event-Triggered Control for Consensus of Multi-Agent Systems , 2014, IEEE Transactions on Industrial Electronics.

[28]  Fuwen Yang,et al.  Event-Based Distributed $H_{\infty }$ Filtering Networks of 2-DOF Quarter-Car Suspension Systems , 2016, IEEE Transactions on Industrial Informatics.

[29]  Hongjie Li,et al.  Leader-following consensus of nonlinear multi-agent systems with mixed delays and uncertain parameters via adaptive pinning intermittent control , 2016 .

[30]  Antoine Girard,et al.  Coordination in networks of linear impulsive agents , 2014, 53rd IEEE Conference on Decision and Control.

[31]  Xiaodi Li,et al.  Sufficient Stability Conditions of Nonlinear Differential Systems Under Impulsive Control With State-Dependent Delay , 2018, IEEE Transactions on Automatic Control.

[32]  George J. Pappas,et al.  Flocking in Fixed and Switching Networks , 2007, IEEE Transactions on Automatic Control.

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

[34]  Zhigang Zeng,et al.  Exponential consensus of discrete-time non-linear multi-agent systems via relative state-dependent impulsive protocols , 2018, Neural Networks.

[35]  Junan Lu,et al.  Adaptive synchronization of an uncertain complex dynamical network , 2006, IEEE Transactions on Automatic Control.