Consensus seeking in a network of discrete-time linear agents with  communication noises

	Consensus seeking in a network of discrete-time linear agents with communication noises
	Wang, Yunpeng; Cheng, Long; Hou, Zeng-Guang; Tan, Min; Zhou, Chao; Wang, Ming
发表期刊	INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
	2015
卷号	46 期号:10 页码:1874-1888
文章类型	Article
摘要	This paper studies the mean square consensus of discrete-time linear time-invariant multi-agent systems with communication noises. A distributed consensus protocol, which is composed of the agent’s own state feedback and the relative states between the agent and its neighbours, is proposed. A time-varying consensus gain a[k] is applied to attenuate the effect of noises which inherits in the inaccurate measurement of relative states with neighbours. A polynomial, namely ‘parameter polynomial’, is constructed. And its coefficients are the parameters in the feedback gain vector of the proposed protocol. It turns out that the parameter polynomial plays an important role in guaranteeing the consensus of linear multi-agent systems. By the proposed protocol, necessary and sufficient conditions for mean square consensus are presented under different topology conditions: (1) if the communication topology graph has a spanning tree and every node in the graph has at least one parent node, then the mean square consensus can be achieved if and only if ∞ k=0 a[k] = ∞, ∞ k=0 a2[k] < ∞ and all roots of the parameter polynomial are in the unit circle; (2) if the communication topology graph has a spanning tree and there exits one node without any parent node (the leader–follower case), then the mean square consensus can be achieved if and only if ∞ k=0 a[k] = ∞, limk → ∞a[k] = 0 and all roots of the parameter polynomial are in the unit circle; (3) if the communication topology graph does not have a spanning tree, then the mean square consensus can never be achieved. Finally, one simulation example on the multiple aircrafts system is provided to validate the theoretical analysis
关键词	Consensus Multi-agent Systems Discrete-time Linear Agent Mean Square Noise
收录类别	SCI
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/19969
专题	复杂系统认知与决策实验室_先进机器人复杂系统认知与决策实验室_水下机器人
通讯作者	Cheng, Long
作者单位	State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing.
第一作者单位	中国科学院自动化研究所
通讯作者单位	中国科学院自动化研究所
推荐引用方式 GB/T 7714	Wang, Yunpeng,Cheng, Long,Hou, Zeng-Guang,et al. Consensus seeking in a network of discrete-time linear agents with communication noises[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE,2015,46(10):1874-1888.
APA	Wang, Yunpeng,Cheng, Long,Hou, Zeng-Guang,Tan, Min,Zhou, Chao,&Wang, Ming.(2015).Consensus seeking in a network of discrete-time linear agents with communication noises.INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE,46(10),1874-1888.
MLA	Wang, Yunpeng,et al."Consensus seeking in a network of discrete-time linear agents with communication noises".INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 46.10(2015):1874-1888.

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