Event-triggered Average Consensus of Second-order Multi-agent Systems

HUANG Hongwei; HUANG Tianmin; WU Sheng; ZHOU Kun

doi:10.13976/j.cnki.xk.2016.0729

Volume 45 Issue 6

Dec. 2016

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INFORMATION AND CONTROL > 2016 > 45(6): 729-734,758. > DOI: 10.13976/j.cnki.xk.2016.0729 CSTR: 32166.14.xk.2016.0729

HUANG Hongwei, HUANG Tianmin, WU Sheng, ZHOU Kun. Event-triggered Average Consensus of Second-order Multi-agent Systems[J]. INFORMATION AND CONTROL, 2016, 45(6): 729-734,758. DOI: 10.13976/j.cnki.xk.2016.0729

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Event-triggered Average Consensus of Second-order Multi-agent Systems

1.
School of Electronic Engineering, Southwest Jiaotong University, Chengdu 610031, China
2.
School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
3.
School of Transportation and Logistics, Southwest Jiaotong University, Chengdu 610031, China

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Received Date: September 07, 2015
Revised Date: March 24, 2016
Available Online: December 07, 2022
Published Date: December 19, 2016

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Abstract

Abstract

We propose a consensus algorithm based on event-triggered control to save on resources. The proposed algorithm is meant to solve the average consensus problem of second-order multi-agent systems under an undirected network with fixed topology. First, for each agent, we design a trigger function with respect to the state error. An agent triggers an event only when the state error reaches a specific value, and the control input is constant between two adjacent event triggering times. Next, by employing the model transformation method, the consensus problem of the multi-agent system is converted into the stability problem. Then, some sufficient conditions for the average consensus of the systems are provided by using matrix theory and Lyapunov theory. Finally, numerical simulations are used to verify the effectiveness of the proposed theoretical scheme.
- multi-agent system,
- average consensus,
- event-triggered control,
- fixed topology

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