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

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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Average Consensus in Multiagent Systems with the Problem of Packet Losses When Using the Second-Order Neighbors’ Information

Mathematical Problems in Engineering ◽

10.1155/2014/304126 ◽

2014 ◽

Vol 2014 ◽

pp. 1-6 ◽

Cited By ~ 1

Author(s):

Mei Yu ◽

Lijuan Li ◽

Guangming Xie ◽

Hong Shi

Keyword(s):

Multiagent Systems ◽

Second Order ◽

Communication Link ◽

Sampled Data ◽

Bernoulli Process ◽

Packet Losses ◽

First Order ◽

Data Framework ◽

Average Consensus ◽

Distributed Average Consensus

This paper mainly investigates the average consensus of multiagent systems with the problem of packet losses when both the first-order neighbors’ information and the second-order neighbors’ information are used. The problem is formulated under the sampled-data framework by discretizing the first-order agent dynamics with a zero-order hold. 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 average consensus speeds up by using the second-order neighbors’ information when packets are lost. Numerical examples are given to demonstrate the effectiveness of the proposed methods.

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Leader-Following Consensus in Second-Order Multiagent Systems via Event-Triggered Control With Nonperiodic Sampled Data

IEEE Transactions on Circuits & Systems II Express Briefs ◽

10.1109/tcsii.2015.2458036 ◽

2015 ◽

Vol 62 (10) ◽

pp. 1007-1011 ◽

Cited By ~ 26

Author(s):

Nankun Mu ◽

Xiaofeng Liao ◽

Tingwen Huang

Keyword(s):

Multiagent Systems ◽

Second Order ◽

Sampled Data ◽

Leader Following ◽

Event Triggered

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Periodic Event-Triggered Condition Design for the Consensus of Multiagent Systems with Communication Delays

Mathematical Problems in Engineering ◽

10.1155/2016/3408152 ◽

2016 ◽

Vol 2016 ◽

pp. 1-9

Author(s):

Feng Zhou ◽

Zhiwu Huang ◽

Weirong Liu ◽

Liran Li ◽

Kai Gao

Keyword(s):

Multiagent Systems ◽

Closed Loop ◽

Undirected Graph ◽

Communication Delays ◽

Sampled Data ◽

Quadratic Lyapunov Function ◽

Linear Dynamical Systems ◽

Data Control ◽

Systems Simulation ◽

Event Triggered

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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Observer-Based Event-Triggered Circle Formation Control for First- and Second-Order Multiagent Systems

Complexity ◽

10.1155/2020/4715315 ◽

2020 ◽

Vol 2020 ◽

pp. 1-12 ◽

Cited By ~ 3

Author(s):

Peng Xu ◽

Guangming Xie ◽

Jin Tao ◽

Minyi Xu ◽

Quan Zhou

Keyword(s):

Multiagent Systems ◽

Measurement Errors ◽

Formation Control ◽

Sufficient Conditions ◽

Second Order ◽

State Function ◽

Control Laws ◽

Interevent Interval ◽

Circle Formation ◽

Event Triggered

This paper proposes an observer-based event-triggered algorithm to solve circle formation control problems for both first- and second-order multiagent systems, where the communication topology is modeled by a spanning tree-based directed graph with limited resources. In particular, the observation-based event-triggering mechanism is used to reduce the update frequency of the controller, and the triggering time depends on the norm of the state function and the trigger threshold of measurement errors. The analysis shows that sufficient conditions are established for achieving the desired circle formation, while there exists at least one agent for which the next interevent interval is strictly positive. Numerical simulations of both first- and second-order multiagent systems are also given to demonstrate the effectiveness of the proposed control laws.

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