文献类型：期刊文献

英文题名：Discrete-time global leader-following consensus of a group of general linear systems using bounded controls

作者：Zhao, Zhiyun[1,2];Lin, Zongli[3]

机构：[1]Shanghai Jiao Tong Univ, Dept Automat, Shanghai, Peoples R China;[2]East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai, Peoples R China;[3]Univ Virginia, Charles L Brown Dept Elect & Comp Engn, Charlottesville, VA 22904 USA

年份：2017

卷号：27

期号：17

起止页码：3433

外文期刊名：INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL

收录：;EI(收录号：20174604411673);WOS:【SCI-EXPANDED(收录号:WOS:000417576400003)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant Nos. 61221003 and 61273105.

语种：英文

外文关键词：multi-agent systems; nonlinear control; consensus; bounded control; discrete-time

摘要：This paper deals with the problem of global leader-following consensus of a group of discrete-time general linear systems with bounded controls. For each follower agent in the group, we construct both a bounded state feedback control law and a bounded output feedback control law. The feedback laws for each input of an agent use a multi-hop relay protocol, in which the agent obtains the information of other agents through multi-hop paths in the communication network. The number of hops each agent uses to obtain its information about other agents for an input is less than or equal to the sum of the number of real eigenvalues on the unit circle and the number of pairs of complex eigenvalues on the unit circle of the subsystem corresponding to the input, and the feedback gains are constructed from the adjacency matrix of the communication network. We show that these control laws achieve global leader-following consensus when the communication topology among follower agents forms a strongly connected and detailed balanced directed graph and the leader is a neighbor of at least one follower agent. Copyright (C) 2017 John Wiley & Sons, Ltd.