Robust Consensus of Linear Feedback Protocols Over Uncertain Network   Graphs

doi:10.1109/TAC.2017.2685082

CORC > 北京大学 > 工学院

	Robust Consensus of Linear Feedback Protocols Over Uncertain Network Graphs
	Li, Zhongkui ; Chen, Jie
刊名	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
	2017
关键词	Communication channel consensus cooperative control robustness uncertainty MULTIAGENT SYSTEMS COMMUNICATION CONSTRAINTS MEASUREMENT NOISES AVERAGE CONSENSUS STABILIZATION PERFORMANCE SYNCHRONIZATION INFORMATION
DOI	10.1109/TAC.2017.2685082
英文摘要	In this paper, we study the robust consensus problem for a group of linear discrete-time or continuous-time agents to coordinate over an uncertain communication network, which is to achieve consensus against transmission errors and noises. We model the network by communication links subject to deterministic uncertainties, which can be additive perturbations described by either some unknown transfer functions or norm bounded matrices. We show that the robust consensus problem can generally be solved by solving a simultaneous H-infinity control problem for a set of low-dimensional subsystems. We also derive necessary conditions for the existence of a protocol achieving robust consensus. The results show that for discrete-time agents the uncertainty size must not exceed the inverse of the Mahler measure of the agents, while for continuous-time agents it must be less than the unity. Sufficient conditions in terms of linear matrix inequalities are further presented to design the robust consensus protocols.; National Natural Science Foundation of China [61473005, 61225013]; foundation for the Author of National Excellent Doctoral Dissertation of China; Hong Kong RGC [CityU 111613, CityU 11200415]; SCI(E); ARTICLE; 8; 4251-4258; 62
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/471851]
专题	工学院
推荐引用方式 GB/T 7714	Li, Zhongkui,Chen, Jie. Robust Consensus of Linear Feedback Protocols Over Uncertain Network Graphs[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2017.
APA	Li, Zhongkui,&Chen, Jie.(2017).Robust Consensus of Linear Feedback Protocols Over Uncertain Network Graphs.IEEE TRANSACTIONS ON AUTOMATIC CONTROL.
MLA	Li, Zhongkui,et al."Robust Consensus of Linear Feedback Protocols Over Uncertain Network Graphs".IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2017).