A Distributed Dynamic Event-Triggered Control Approach to Consensus of Linear Multiagent Systems With Directed Networks

In this paper, we study the consensus problem for a class of linear multiagent systems, where the communication networks are directed. First, a dynamic event-triggering mechanism is introduced, including some existing static event-triggering mechanisms as its special cases. Second, based on the dynamic event-triggering mechanism, a distributed control protocol is developed, which ensures that all agents can reach consensus with an exponential convergence rate. Third, it is shown that, with the dynamic event-triggering mechanism, the minimum interevent time between any two consecutive triggering instants can be prolonged and no agent exhibits Zeno behavior. Finally, an algorithm is provided to avoid continuous communication when the dynamic event-triggering mechanism is implemented. The effectiveness of the results is confirmed through a numerical example.

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

[2]  Qing-Long Han,et al.  An Overview of Recent Advances in Fixed-Time Cooperative Control of Multiagent Systems , 2018, IEEE Transactions on Industrial Informatics.

[3]  Qing-Long Han,et al.  An Overview and Deep Investigation on Sampled-Data-Based Event-Triggered Control and Filtering for Networked Systems , 2017, IEEE Transactions on Industrial Informatics.

[4]  Wenwu Yu,et al.  Second-Order Consensus for Multiagent Systems With Directed Topologies and Nonlinear Dynamics , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[5]  Qing-Long Han,et al.  Network-based leader-following consensus for distributed multi-agent systems , 2013, Autom..

[6]  Tingwen Huang,et al.  Synchronization Control for A Class of Discrete Time-Delay Complex Dynamical Networks: A Dynamic Event-Triggered Approach , 2019, IEEE Transactions on Cybernetics.

[7]  Wei Ren.  On Consensus Algorithms for Double-Integrator Dynamics , 2008, IEEE Trans. Autom. Control..

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

[9]  Qing-Long Han,et al.  An Overview of Recent Advances in Event-Triggered Consensus of Multiagent Systems , 2018, IEEE Transactions on Cybernetics.

[10]  Qing-Long Han,et al.  A survey on recent advances in distributed sampled-data cooperative control of multi-agent systems , 2018, Neurocomputing.

[11]  V. Kučera.  A contribution to matrix quadratic equations , 1972 .

[12]  Qing-Long Han,et al.  A Dynamic Event-Triggered Transmission Scheme for Distributed Set-Membership Estimation Over Wireless Sensor Networks , 2019, IEEE Transactions on Cybernetics.

[13]  Tianping Chen,et al.  New approach to synchronization analysis of linearly coupled ordinary differential systems , 2006 .

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

[15]  Gang Feng,et al.  Consensus of Linear Multi-Agent Systems by Distributed Event-Triggered Strategy , 2016, IEEE Transactions on Cybernetics.

[16]  Jianbin Qiu,et al.  Reliable Output Feedback Control for T-S Fuzzy Systems With Decentralized Event Triggering Communication and Actuator Failures , 2017, IEEE Transactions on Cybernetics.

[17]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

[18]  Gang Feng,et al.  Cooperative Output Regulation of Linear Multi-Agent Systems by Intermittent Communication: A Unified Framework of Time- and Event-Triggering Strategies , 2018, IEEE Transactions on Automatic Control.

[19]  Qing-Long Han,et al.  Recent advances in vibration control of offshore platforms , 2017 .

[20]  Chunhua Yang,et al.  Consensus of linear multi-agent systems by distributed dynamic event-triggered control , 2017, 2017 International Workshop on Complex Systems and Networks (IWCSN).

[21]  Li Xiao,et al.  Event-triggered nonlinear consensus in directed multi-agent systems with combinational state measurements , 2016, Int. J. Syst. Sci..

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

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

[24]  Q. Han,et al.  Event‐triggered H∞ control for a class of nonlinear networked control systems using novel integral inequalities , 2017 .

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

[26]  Peng Shi,et al.  Consensus of Multiagent Systems Using Aperiodic Sampled-Data Control , 2016, IEEE Transactions on Cybernetics.

[27]  Pingli Lu,et al.  Distributed event‐triggered consensus control with fully continuous communication free for general linear multi‐agent systems under directed graph , 2018 .

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

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

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

[31]  Xinghuo Yu,et al.  Survey on Recent Advances in Networked Control Systems , 2016, IEEE Transactions on Industrial Informatics.

[32]  Qing-Long Han,et al.  Network-based H∞H∞ filtering using a logic jumping-like trigger , 2013, Autom..

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