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|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|
|Citation:||International Journal of Control, 2020; OnlinePubl:1-11|
|Publisher:||Taylor & Francis|
|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.|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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