Event-Triggered Consensus for Linear Continuous-time Multi-agent Systems Based on a Predictor

Abstract In this paper, the problem of an event-triggered consensus for a linear continuous-time multi-agent system is investigated. A new event-triggered consensus protocol based on a predictor is proposed to achieve consensus while not requiring continuous communication among agents. The predictor utilizes an artificial closed-loop system to predict the future state of each agent. With the proposed consensus protocol, each agent only needs to monitor its own states to determine its event-triggered instants. When an event of an agent is triggered, the agent immediately updates its consensus protocol and sends its state information to its neighbors. When an agent receives state information from its neighbors, the agent immediately updates its consensus protocol and predictor. A necessary and sufficient condition that solves the consensus problem is derived. Moreover, it is proved that Zeno behaviors are excluded. Finally, some numerical examples are given to illustrate that, with the proposed protocol, a multi-agent system can achieve consensus while greatly reducing event-triggered times.

[1]  Dapeng Yang,et al.  Decentralized event-triggered consensus for linear multi-agent systems under general directed graphs , 2016, Autom..

[2]  Alfredo Germani,et al.  Exponential stabilization of linear systems with time-varying delayed state feedback via partial spectrum assignment , 2014, Syst. Control. Lett..

[3]  ZhouBin.  Pseudo-predictor feedback stabilization of linear systems with time-varying input delays , 2014 .

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

[5]  Hyo-Sung Ahn,et al.  A survey of multi-agent formation control : Position-, displacement-, and distance-based approaches , 2012 .

[6]  Hyo-Sung Ahn,et al.  A survey of multi-agent formation control , 2015, Autom..

[7]  Huaicheng Yan,et al.  Consensus of multi-agent systems with linear dynamics using event-triggered control , 2014 .

[8]  Qing-Long Han,et al.  Distributed Formation Control of Networked Multi-Agent Systems Using a Dynamic Event-Triggered Communication Mechanism , 2017, IEEE Transactions on Industrial Electronics.

[9]  Qing-Long Han,et al.  Achieving Cluster Formation of Multi-Agent Systems Under Aperiodic Sampling and Communication Delays , 2018, IEEE Transactions on Industrial Electronics.

[10]  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.

[11]  Yu Zhao,et al.  Leader-following consensus of second-order non-linear multi-agent systems with directed intermittent communication , 2014 .

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

[13]  Le Yi Wang,et al.  Distributed Cooperative Optimal Control of DC Microgrids With Communication Delays , 2018, IEEE Transactions on Industrial Informatics.

[14]  Pattie Maes,et al.  Designing autonomous agents: Theory and practice from biology to engineering and back , 1990, Robotics Auton. Syst..

[15]  Jinde Cao,et al.  Second-order leader-following consensus of nonlinear multi-agent systems via pinning control , 2010, Syst. Control. Lett..

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

[17]  Bin Zhou,et al.  Consensus of Multi-agent Systems with Large Input and Communication Delays , 2014 .

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

[19]  Guangming Xie,et al.  The χ‐consensus problem of high‐order multi‐agent systems with fixed and switching topologies , 2008 .

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

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

[22]  Qing-Long Han,et al.  An improved reciprocally convex inequality and an augmented Lyapunov-Krasovskii functional for stability of linear systems with time-varying delay , 2017, Autom..

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

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

[25]  Qing-Long Han,et al.  Distributed networked control systems: A brief overview , 2017, Inf. Sci..

[26]  Yongcan Cao,et al.  Distributed Coordination of Multi-agent Networks: Emergent Problems, Models, and Issues , 2010 .

[27]  Qing-Long Han,et al.  A discrete delay decomposition approach to stability of linear retarded and neutral systems , 2009, Autom..

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

[29]  Q. Han,et al.  Novel delay‐derivative‐dependent stability criteria using new bounding techniques , 2013 .

[30]  Wenwu Yu,et al.  An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination , 2012, IEEE Transactions on Industrial Informatics.

[31]  Guoping Liu,et al.  State feedback controller design and stability analysis of networked predictive control systems , 2011, 2011 2nd International Conference on Intelligent Control and Information Processing.

[32]  Xinghuo Yu,et al.  Sliding Mode Control With Mixed Current and Delayed States for Offshore Steel Jacket Platforms , 2014, IEEE Transactions on Control Systems Technology.

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

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

[35]  Zhiqiang Cao,et al.  Sampled-data based average consensus of second-order integral multi-agent systems: Switching topologies and communication noises , 2013, Autom..

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

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

[38]  Joe Brewer,et al.  Kronecker products and matrix calculus in system theory , 1978 .

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

[40]  Bin Zhou,et al.  Consensus of high-order multi-agent systems with large input and communication delays , 2014, at - Automatisierungstechnik.

[41]  W. He,et al.  Consensus control for high-order multi-agent systems [Brief Paper] , 2011 .

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

[43]  Roy M. Howard,et al.  Linear System Theory , 1992 .

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

[45]  Baolin Zhang,et al.  Event-triggered H∞ reliable control for offshore structures in network environments , 2016 .

[46]  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.

[47]  C. Loan.  The Sensitivity of the Matrix Exponential , 1977 .

[48]  Bin Zhou,et al.  Pseudo-predictor feedback stabilization of linear systems with time-varying input delays , 2014, Proceedings of the 33rd Chinese Control Conference.