Distributed Event-Triggered Consensus of Multiagent Systems With Communication Delays: A Hybrid System Approach

This paper focuses on the periodic event-triggered consensus problem for multiagent systems under undirected graph. In the periodic event-triggered control, the event condition is tested only periodically to decide when to exert the control behaviors and when to broadcast the sampling data. Two sets of event-triggered strategies combining with sampled-data control are designed based on an exponential decay function and a quadratic Lyapunov function, respectively. Some useful theorems for these two periodic event-triggered strategies about the choice of period are derived to guarantee the asymptotical stability of the closed-loop multiagent systems. In addition, this paper gives a sufficient condition about the bounds of communication delay for the multiagent systems. It is rigorously proved that the overall system will achieve the consensus under the proposed strategy if the period and time delay satisfy the theorems. Finally, we extend these solutions to general linear dynamical systems. Simulation results are presented to show the effectiveness.

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Model-Based Dynamic Event-Triggered Control for Systems With Uncertainty: A Hybrid System Approach

IEEE Transactions on Automatic Control ◽

10.1109/tac.2020.2979788 ◽

2021 ◽

Vol 66 (1) ◽

pp. 444-451

Author(s):

Kun-Zhi Liu ◽

Andrew R. Teel ◽

Xi-Ming Sun ◽

Xue-Fang Wang

Keyword(s):

Hybrid System ◽

System Approach ◽

Dynamic Event ◽

Model Based ◽

Event Triggered

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External Consensus Protocol of Networked Multiagent Systems With Communication Delays Under Event-Triggered Mechanisms

IEEE Access ◽

10.1109/access.2019.2899341 ◽

2019 ◽

Vol 7 ◽

pp. 25053-25062

Author(s):

Qi Lei ◽

Jia-Hui Li ◽

Guo-Ping Liu ◽

Min Wu

Keyword(s):

Multiagent Systems ◽

Communication Delays ◽

Consensus Protocol ◽

Networked Multiagent Systems ◽

Event Triggered

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Event-Triggered Control for Multiagent Systems with the Problem of Packet Losses and Communication Delays When Using the Second-Order Neighbors’ Information

Abstract and Applied Analysis ◽

10.1155/2014/616530 ◽

2014 ◽

Vol 2014 ◽

pp. 1-10

Author(s):

Chuan Yan ◽

Mei Yu ◽

Guangming Xie ◽

Yu Liu

Keyword(s):

Multiagent Systems ◽

Discrete Time ◽

Second Order ◽

Communication Link ◽

Communication Delays ◽

Sampled Data ◽

Packet Losses ◽

Control Laws ◽

Data Framework ◽

Event Triggered

This paper mainly investigates the event-triggered control for discrete-time multiagent systems with the problem of packet losses and communication delays when both the first-order and the second-order neighbors’ information are used. Event-triggered control laws are adopted so as to reduce the frequency of individual actuation updating under the sampled-data framework for discrete-time agent dynamics. The communication graph is undirected and the loss of data across each communication link occurs at certain probability, which is governed by a Bernoulli process. It is found that the distributed consensus speeds up by using the second-order neighbors’ information when packet losses and communication delays occur. Numerical examples are given to demonstrate the effectiveness of the proposed methods.

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Couple-Group Consensus for Multiagent Systems via Time-Dependent Event-Triggered Control

Mathematical Problems in Engineering ◽

10.1155/2018/2947643 ◽

2018 ◽

Vol 2018 ◽

pp. 1-13 ◽

Cited By ~ 1

Author(s):

Huiyang Liu ◽

Xiaoshuang Wang

Keyword(s):

Multiagent Systems ◽

Matrix Theory ◽

Time Dependent ◽

Communication Delays ◽

Group Consensus ◽

First Order ◽

Zeno Behavior ◽

The Matrix ◽

Second Order Systems ◽

Event Triggered

This paper investigates couple-group consensus problems for multiagent first-order and second-order systems. Several consensus protocols are proposed based on the time-dependent distributed event-triggered control. For the case of no communication delays, the time-dependent event-triggered strategies are applied to couple-group consensus problems. Based on the matrix theory, algebraic conditions for couple-group consensus are established. For the system with communication delays, based on event-triggered strategies, a Lyapunov-Krasovskii functional is constructed to prove the input-to-state stability of the systems. Moreover, Zeno behavior is excluded. Finally, numeral examples are given to illustrate the effectiveness of these results.

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