A Mean Square Consensus Protocol for Linear Multi-Agent Systems With Communication Noises and Fixed Topologies

	A Mean Square Consensus Protocol for Linear Multi-Agent Systems With Communication Noises and Fixed Topologies
	Cheng, Long; Hou, Zeng-Guang; Tan, Min
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
	2014
卷号	59 期号:1 页码:261-267
文章类型	Article
摘要	The mean square consensus of linear multi-agent systems with communication noises is studied in this note. Each agent is modeled by a continuous-time linear time-invariant dynamics and the fixed communication topology is described by a digraph. The proposed consensus protocol is composed of two parts: the agent's own state feedback and the relative states between agent and its neighbor agents. Due to the existence of communication noises, the relative states cannot be obtained accurately. To attenuate the noise effect, a time-varying gain vector at(t) K is applied to the inaccurate relative states. It is proved that: 1) if the communication topology has a spanning tree and every node has at least one parent node, then the proposed protocol can solve the mean square consensus problem if and only if a(t) satisfies integral(infinity)(0) a(s) ds = infinity and integral(infinity)(0) a(2) (s) ds < infinity; and all roots of the polynomial whose coefficients are the elements of vector K are in the left half complex plane; 2) if the communication topology has a spanning tree and there exists one node without any parent node, then the condition integral(infinity)(0) a(2) (s) ds < infinity is only sufficient but not necessary; and 3) if the communication topology has no spanning tree, then the proposed protocol cannot solve the mean square consensus problem.
关键词	Consensus Linear Time-invariant Mean Square Multi-agent Systems Noise
WOS标题词	Science & Technology ; Technology
关键词[WOS]	ALGORITHMS
收录类别	SCI
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000330760400028
引用统计	被引频次：179[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/3472
专题	复杂系统认知与决策实验室_先进机器人
作者单位	Chinese Acad Sci, State Key Lab Intelligent Control & Management Co, Inst Automat, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Long,Hou, Zeng-Guang,Tan, Min. A Mean Square Consensus Protocol for Linear Multi-Agent Systems With Communication Noises and Fixed Topologies[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2014,59(1):261-267.
APA	Cheng, Long,Hou, Zeng-Guang,&Tan, Min.(2014).A Mean Square Consensus Protocol for Linear Multi-Agent Systems With Communication Noises and Fixed Topologies.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,59(1),261-267.
MLA	Cheng, Long,et al."A Mean Square Consensus Protocol for Linear Multi-Agent Systems With Communication Noises and Fixed Topologies".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 59.1(2014):261-267.