LQR-based optimal topology of leader-following consensus

doi:10.1002/rnc.3271

CORC > 北京大学 > 工学院

	LQR-based optimal topology of leader-following consensus
	Ma, Jingying ; Zheng, Yuanshi ; Wang, Long
刊名	INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
	2015
关键词	multi-agentsystems leader-following consensus linear quadratic regulator optimal control star topology HETEROGENEOUS MULTIAGENT SYSTEMS FINITE-TIME CONSENSUS CONTAINMENT CONTROL SWITCHING TOPOLOGY DYNAMIC AGENTS NETWORKS DELAYS ALGORITHMS
DOI	10.1002/rnc.3271
英文摘要	In this paper, we consider the optimal topology for leader-following consensus problem of continuous-time and discrete-time multi-agent systems based on linear quadratic regulator theory. For the first-order multi-agent systems, we propose a quadratic cost function, which is independent of the interaction graph, and find that the optimal topology is a star topology. For the second-order multi-agent systems, a quadratic cost function is also constructed, whereas the optimal topology for second-order leader-following consensus problem is an unevenly weighted star topology. The universality of these findings means that if each follower is connected with the leader, the information exchange between followers is unnecessary and insufficient. Simulation examples are provided to illustrate the effectiveness of the theoretical results. Copyright (c) 2014 John Wiley & Sons, Ltd.; 973 Program [2012CB821203]; National Natural Science Foundation of China [61020106005, 61375120, 61304160]; Fundamental Research Funds for the Central Universities [JB140406]; SCI(E); EI; ARTICLE; longwang@pku.edu.cn; 17; 3404-3421; 25
语种	中文
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/415281]
专题	工学院
推荐引用方式 GB/T 7714	Ma, Jingying,Zheng, Yuanshi,Wang, Long. LQR-based optimal topology of leader-following consensus[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2015.
APA	Ma, Jingying,Zheng, Yuanshi,&Wang, Long.(2015).LQR-based optimal topology of leader-following consensus.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL.
MLA	Ma, Jingying,et al."LQR-based optimal topology of leader-following consensus".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL (2015).