Stabilization of Planar Collective Motion With Limited Communication

This paper proposes a design methodology to stabilize relative equilibria in a model of identical, steered particles moving in the plane at unit speed. Relative equilibria either correspond to parallel motion of all particles with fixed relative spacing or to circular motion of all particles around...

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Bibliographic Details
Published in:IEEE transactions on automatic control Vol. 53; no. 3; pp. 706 - 719
Main Authors: Sepulchre, R., Paley, D.A., Leonard, N.E.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.04.2008
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN:0018-9286, 1558-2523
Online Access:Get full text
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Summary:This paper proposes a design methodology to stabilize relative equilibria in a model of identical, steered particles moving in the plane at unit speed. Relative equilibria either correspond to parallel motion of all particles with fixed relative spacing or to circular motion of all particles around the same circle. Particles exchange relative information according to a communication graph that can be undirected or directed and time-invariant or time-varying. The emphasis of this paper is to show how previous results assuming all-to-all communication can be extended to a general communication framework.
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scopus-id:2-s2.0-42649110982
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2008.919857