Global converegence properties of a consensus protocol on the n-sphere

Markdahl, Johan; Goncalves, Jorge

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Global converegence properties of a consensus protocol on the n-sphere

Markdahl, Johan; Goncalves, Jorge

2016 • In Proceedings of the 55th IEEE Conference on Decision and Control

Peer reviewed

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https://hdl.handle.net/10993/28595

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Keywords :

consensus; n-sphere; attitude control

Abstract :

[en] This paper provides a novel analysis of the global convergence properties of a well-known consensus protocol for multi-agent systems that evolve in continuous time on the n-sphere. The feedback is intrinsic to the n-sphere, i.e., it does not rely on the use of local coordinates obtained through a parametrization. It is shown that, for any connected undirected graph topology and all n>1, the consensus protocol yields convergence that is akin to almost global consensus in a weak sense. Simulation results suggest that actual almost global consensus holds. This result is of interest in the context of consensus on Riemannian manifolds since it differs from what is known with regard to the 1-sphere and SO(3) where more advanced intrinsic consensus protocols are required in order to generate equivalent results.

Disciplines :

Electrical & electronics engineering

Author, co-author :

Markdahl, Johan ; University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)

Goncalves, Jorge ; University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)

External co-authors :

Language :

English

Title :

Global converegence properties of a consensus protocol on the n-sphere

Publication date :

December 2016

Event name :

55th IEEE Conference on Decision and Control

Event place :

Las Vegas, United States - Nevada

Event date :

From 12-12-2016 to 14-12-2016

Audience :

International

Main work title :

Proceedings of the 55th IEEE Conference on Decision and Control

Peer reviewed :

Peer reviewed

Focus Area :

Computational Sciences

Available on ORBilu :

since 07 October 2016

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