Exponential stability for formation control systems with generalized controllers: A unified approach

Zhiyong Sun, Shaoshuai Mou, Brian D.O. Anderson, Ming Cao

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63 Citations (Scopus)

Abstract

This paper discusses generalized controllers for distance-based rigid formation shape stabilization and aims to provide a unified approach for the convergence analysis. We consider two types of formation control systems according to different characterizations of target formations: minimally rigid target formation and non-minimally rigid target formation. For the former case, we firstly prove the local exponential stability for rigid formation systems when using a general form of shape controllers with certain properties. From this viewpoint, different formation controllers proposed in previous literature can be included in a unified framework. We then extend the result to the case that the target formation is non-minimally rigid, and show that exponential stability of the formation system is still guaranteed with generalized controllers.
Original languageEnglish
Pages (from-to)50-57
JournalSystems & Control Letters
Volume93
Issue number7
DOIs
Publication statusPublished - 2-Jul-2016

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