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Type: Journal article
Title: Distributed L ₂ − L∞ consensus of multi-agent systems under asynchronous switching topologies
Other Titles: Distributed L (2) - L-infinity consensus of multi-agent systems under asynchronous switching topologies
Author: Shi, T.
Shi, P.
Zhang, L.
Citation: International Journal of Control, 2020; OnlinePubl:1-11
Publisher: Taylor & Francis
Issue Date: 2020
ISSN: 0020-7179
Statement of
Ting Shi, Peng Shi and Liping Zhang
Abstract: In this paper, the leader-following consensus is investigated for general linear multi-agent systems under external disturbances. The communication topologies are time-varying and switched from a finite set. To model these topologies, a signal with average dwell time switching is introduced. The overall closed-loop system is described as a switched control system. The notion of weighted L2−L∞ performance is then introduced and analysed. Based on the local information obtained from the neighbours, a topology-dependent controller is designed. The switchings between the communication topologies and the controllers are asynchronous. Conditions are developed for the existence of a control protocol to produce the leader-following consensus with a certain level of weighted L2−L∞ performance. The design algorithm is then formulated as a set of linear matrix inequalities (LMIs). A numerical example is then given to show the effectiveness of the proposed consensus algorithm.
Keywords: Multi-agent systems; consensus; switching topologies; L2 − L∞ performance
Description: Published online: 10 Aug 2020.
Rights: © 2020 Informa UK Limited, trading as Taylor & Francis Group.
RMID: 1000025054
DOI: 10.1080/00207179.2020.1803409
Grant ID:
Appears in Collections:Electrical and Electronic Engineering publications

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