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

被引:0
作者
Cuiqin Ma
Weiwei Zhao
Yunbo Zhao
机构
[1] Qufu Normal University,School of Mathematical Sciences
[2] No. 1 Senior Middle School of Qufu,College of Information Engineering
[3] Zhejiang University of Technology,undefined
来源
Journal of Systems Science and Complexity | 2018年 / 31卷
关键词
Bipartite consensus; discrete-time; double-integrator; measurement noise; multi-agent systems;
D O I
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中图分类号
学科分类号
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.
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页码:1525 / 1540
页数:15
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