Event-based synchronisation of linear discrete-time dynamical networks

This study investigates the problem of event-based synchronisation of linear discrete-time dynamical networks. Leader-following and leaderless synchronisations are achieved by a distributed event-trigger strategy. It is shown that feedback control updating is unnecessary until an event is triggered. The combinational-state variables and the Riccati equation are used to construct a Liapunov function and to design the event-triggering conditions. Numerical examples are provided to illustrate the theoretical results.

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

[2]  L. Chua,et al.  Application of graph theory to the synchronization in an array of coupled nonlinear oscillators , 1995 .

[3]  K. Åström,et al.  Comparison of Periodic and Event Based Sampling for First-Order Stochastic Systems , 1999 .

[4]  Russell Merris,et al.  Graph Theory , 2000 .

[5]  Xiao Fan Wang,et al.  Synchronization in scale-free dynamical networks: robustness and fragility , 2001, cond-mat/0105014.

[6]  K. Åström,et al.  Comparison of Riemann and Lebesgue sampling for first order stochastic systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

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

[8]  Bruno Sinopoli,et al.  Kalman filtering with intermittent observations , 2004, IEEE Transactions on Automatic Control.

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

[10]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

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

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

[13]  Tao Zhou,et al.  Ultrafast consensus via predictive mechanisms , 2008 .

[14]  Wei Ren,et al.  Synchronization of coupled harmonic oscillators with local interaction , 2008, Autom..

[15]  Alessandro Astolfi,et al.  Stability of Dynamical Systems - Continuous, Discontinuous, and Discrete Systems (by Michel, A.N. et al.; 2008) [Bookshelf] , 2007, IEEE Control Systems.

[16]  Z. Qu,et al.  Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles , 2009 .

[17]  Tao Zhou,et al.  Predictive protocol of flocks with small-world connection pattern. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Xiao Fan Wang,et al.  Flocking of Multi-Agents With a Virtual Leader , 2009, IEEE Trans. Autom. Control..

[19]  Rodolphe Sepulchre,et al.  Synchronization in networks of identical linear systems , 2009, Autom..

[20]  Ji-Feng Zhang,et al.  Necessary and Sufficient Conditions for Consensusability of Linear Multi-Agent Systems , 2010, IEEE Transactions on Automatic Control.

[21]  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.

[22]  Dimos V. Dimarogonas,et al.  Event-triggered control for discrete-time systems , 2010, Proceedings of the 2010 American Control Conference.

[23]  Lihua Xie,et al.  Network Topology and Communication Data Rate for Consensusability of Discrete-Time Multi-Agent Systems , 2011, IEEE Transactions on Automatic Control.

[24]  Frank L. Lewis,et al.  Optimal Design for Synchronization of Cooperative Systems: State Feedback, Observer and Output Feedback , 2011, IEEE Transactions on Automatic Control.

[25]  Xiaofeng Wang,et al.  Event-Triggering in Distributed Networked Control Systems , 2011, IEEE Transactions on Automatic Control.

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

[27]  Lihua Xie,et al.  Consensusability of discrete-time multi-agent systems over directed graphs , 2011, Proceedings of the 30th Chinese Control Conference.

[28]  Guanrong Chen,et al.  Consensus of Discrete-Time Linear Multi-Agent Systems with Observer-Type Protocols , 2011, ArXiv.

[29]  Guanrong Chen,et al.  Adaptive second-order consensus of networked mobile agents with nonlinear dynamics , 2011, Autom..

[30]  Jiangping Hu,et al.  Distributed event-triggered tracking control of leader-follower multi-agent systems with communication delays , 2011, Kybernetika.

[31]  Frank L. Lewis,et al.  Consensusability of Discrete-Time Dynamic Multiagent Systems , 2012, IEEE Transactions on Automatic Control.

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

[33]  Xiao Fan Wang,et al.  Decentralized Adaptive Pinning Control for Cluster Synchronization of Complex Dynamical Networks , 2013, IEEE Transactions on Cybernetics.

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

[35]  Housheng Su,et al.  Adaptive flocking with a virtual leader of multiple agents governed by locally Lipschitz nonlinearity , 2013 .

[36]  W. P. M. H. Heemels,et al.  Periodic Event-Triggered Control for Linear Systems , 2013, IEEE Trans. Autom. Control..

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

[38]  Tongwen Chen,et al.  Event based agreement protocols for multi-agent networks , 2013, Autom..

[39]  W. P. M. H. Heemels,et al.  Model-based periodic event-triggered control for linear systems , 2013, Autom..

[40]  Frank L. Lewis,et al.  Synchronization of discrete-time multi-agent systems on graphs using Riccati design , 2012, Autom..

[41]  Kiyotsugu Takaba,et al.  Robust Synchronization of Uncertain Linear Multi-Agent Systems , 2013, IEEE Transactions on Automatic Control.

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

[43]  Zhong-Ping Jiang,et al.  Event-based consensus of multi-agent systems with general linear models , 2014, Autom..

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

[45]  Long Wang,et al.  Consensus of linear multi-agent systems via event-triggered control , 2014, Int. J. Control.

[46]  James Lam,et al.  Semiglobal Observer-Based Leader-Following Consensus With Input Saturation , 2014, IEEE Transactions on Industrial Electronics.

[47]  Michael Z. Q. Chen,et al.  Event-triggered control over noisy feedback channels , 2014 .

[48]  Guanrong Chen,et al.  Stabilizing Solution and Parameter Dependence of Modified Algebraic Riccati Equation With Application to Discrete-Time Network Synchronization , 2016, IEEE Transactions on Automatic Control.