Bipartite Consensus of Discrete-Time Double-Integrator Multi-Agent Systems with Measurement Noise

被引：0

作者：

MA Cuiqin ^{[1
]}

ZHAO Weiwei ^{[2
]}

ZHAO Yunbo ^{[3
]}

机构：

[1] School of Mathematical Sciences, Qufu Normal University

[2] No Senior Middle School of Qufu

[3] College of Information Engineering, Zhejiang University of Technology

来源：

JournalofSystemsScience&Complexity | 2018年 / 31卷 / 06期

关键词：

Bipartite consensus; discrete-time; double-integrator; measurement noise; multi-agent systems;

D O I：

暂无

中图分类号：

TP13 [自动控制理论];

学科分类号：

0711 ; 071102 ; 0811 ; 081101 ; 081103 ;

摘要：

The effects of measurement noise are investigated in the context of bipartite consensus of multi-agent systems. In the system setting, discrete-time double-integrator dynamics are assumed for the agent, and measurement noise is present for the agent receiving the state information from its neighbors. Time-varying stochastic bipartite consensus protocols are designed in order to lessen the harmful effects of the noise. Consequently, the state transition matrix of the closed-loop system is analyzed, and sufficient and necessary conditions for the proposed protocol to be a mean square bipartite consensus protocol are given with the help of linear transformation and algebraic graph theory. It is proven that the signed digraph to be structurally balanced and having a spanning tree are the weakest communication assumptions for ensuring bipartite consensus. In particular, the proposed protocol is a mean square bipartite average consensus one if the signed digraph is also weight balanced.

引用

页码：1525 / 1540

页数：16

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