A sampled-data based average consensus protocol for double-integrator multi-agent systems with switching topologies and communication noises

2012 ◽  
Author(s):  
Long Cheng ◽  
Yunpeng Wang ◽  
Zeng-Guang Hou ◽  
Min Tan ◽  
Zhiqiang Cao
Keyword(s):  
Sampled Data ◽  
Multi Agent Systems ◽  
Consensus Protocol ◽  
Agent Systems ◽  
Switching Topologies ◽  
Average Consensus ◽  
Multi Agent ◽  
Double Integrator

scholarly journals Nonlinear Consensus Protocol Modified from Doubly Stochastic Quadratic Operators in Networks of Dynamic Agents

Symmetry ◽  
2019 ◽  
Vol 11 (12) ◽  
pp. 1519 ◽  
Author(s):  
Rawad Abdulghafor ◽  
Sultan Almotairi ◽  
Hamad Almohamedh ◽  
Sherzod Turaev ◽  
Badr Almutairi
Keyword(s):  
Theoretical Analysis ◽  
Consensus Problem ◽  
Multi Agent Systems ◽  
Consensus Protocol ◽  
Agent Systems ◽  
Doubly Stochastic ◽  
Average Consensus ◽  
Multi Agent ◽  
Mathematical Equations ◽  
Simulation Results

This article explores nonlinear convergence to limit the effects of the consensus problem that usually occurs in multi-agent systems. Most of the existing research essentially considers the outline of linear protocols, using complex mathematical equations in various orders. In this work, however, we designed and developed an alternative nonlinear protocol based on simple and effective mathematical approaches. The designed protocol in this sense was modified from the Doubly Stochastic Quadratic Operators (DSQO) and was aimed at resolving consensus problems. Therefore, we called it Modified Doubly Stochastic Quadratic Operators (MDSQO). The protocol was derived in the context of coordinated systems to overcome the consensus issue related to multi-agent systems. In the process, we proved that by using the proposed nonlinear protocol, the consensus could be reached via a common agreement among the agents (average consensus) in a fast and easy fashion without losing any initial status. Moreover, the investigated nonlinear protocol of MDSQO realized the reaching consensus always as well as DSQO in some cases, which could not reach consensus. Finally, simulation results were given to prove the validity of the theoretical analysis.

Finite-Time Consensus of Double-Integrator Multi-Agent Systems with Time-Varying Directed Topologies

2016 ◽  
Vol 20 (2) ◽  
pp. 254-261 ◽  
Author(s):  
Fang Wang ◽  
◽  
Xin Chen ◽  
Yong He ◽  
Keyword(s):  
Finite Time ◽  
Weighted Average ◽  
Control Technique ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Consensus Protocol ◽  
Agent Systems ◽  
Multi Agent ◽  
Directed Topologies ◽  
Double Integrator

The finite-time consensus problem for double-integrator multi-agent systems (MASs) is studied using time-varying directed topologies. In detail, a distributed finite-time control protocol is designed to achieve the weighted average consensus on the basis of both relative position and relative velocity measurements by utilizing a homogeneous control technique. Then, on the basis of graph theory, homogeneity with dilation and LaSalle’s invariance principle, the designed finite-time consensus protocol ensures finite-time convergence to a consensus in the time-varying directed topologies without a global leader. Finally, some examples and simulation results are given to illustrate the effectiveness of the obtained theoretical results.

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