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

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.

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

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.

Aperiodic Sampled-Data Sliding-Mode Control of Fuzzy Systems With Communication Delays Via the Event-Triggered Method

2016 ◽  
Vol 24 (5) ◽  
pp. 1048-1057 ◽  
Author(s):  
Shiping Wen ◽  
Tingwen Huang ◽  
Xinghuo Yu ◽  
Michael Z. Q. Chen ◽  
Zhigang Zeng
Keyword(s):  
Sliding Mode Control ◽  
Fuzzy Systems ◽  
Sliding Mode ◽  
Communication Delays ◽  
Sampled Data ◽  
Mode Control ◽  
Event Triggered

scholarly journals Group Consensus with a Dynamic Leader for Multiagent Systems via Sampled-Data Control

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Hong Xia ◽  
Ting-Zhu Huang ◽  
Jin-Liang Shao ◽  
Jun-Yan Yu
Keyword(s):  
Multiagent Systems ◽  
Matrix Theory ◽  
Sampling Period ◽  
Group Consensus ◽  
Sampled Data ◽  
Ultimate Boundedness ◽  
Tracking Errors ◽  
Data Control ◽  
Sampled Data Control ◽  
Theoretical Results

This paper considers a group consensus problem with a dynamic leader for multiagent systems in a sampled-data setting. With the leader’s state available to only a fraction of the followers, a distributed linear protocol based on sampled-data control is proposed for group consensus under fixed directed topology. On basis ofM-matrix theory, we derive a sufficient condition on the sampling period and the control parameter for ultimate boundedness of the tracking errors. Furthermore, simulation examples are provided to demonstrate the effectiveness of the theoretical results.

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