Distributed Geodesic Control Laws for Flocking of Nonholonomic Agents

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General Robotics, Automation, Sensing and Perception Laboratory
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GRASP
cooperative control
distributed coordination
flocking
multiagent systems
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Moshtagh, Nima
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We study the problem of flocking and velocity alignment in a group of kinematic nonholonomic agents in 2 and 3 dimensions. By analyzing the velocity vectors of agents on a circle (for planar motion) or sphere (for 3-D motion), we develop a geodesic control law that minimizes a misalignment potential and results in velocity alignment and flocking. The proposed control laws are distributed and will provably result in flocking when the underlying proximity graph which represents the neighborhood relation among agents is connected. We further show that flocking is possible even when the topology of the proximity graph changes over time, so long as a weaker notion of joint connectivity is preserved.

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2007-04-01
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Copyright 2007 IEEE. Reprinted from IEEE Transactions on Automatic Control, Volume 52, Issue 4, April 2007, pages 681-686. Publisher URL: http://dx.doi.org/10.1109/TAC.2007.894528 This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
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