Jorge Cortés
Professor
Cymer Corporation Endowed Chair
Cooperative detection of areas of rapid change in spatial
fields
J. Cortés
Automatica 48 (4) (2012), 673-681
Abstract
This paper proposes a distributed coordination algorithm for
robotic sensor networks to detect boundaries that separate areas
of rapid change of planar spatial phenomena. We consider an
aggregate objective function, termed wombliness, to measure the
change of the spatial field along the closed polygonal curve
defined by the location of the sensors. We encode the network
task as the optimization of the wombliness and characterize the
smoothness properties of the objective function. In general, the
complexity of the spatial phenomena may make the gradient flow
cause self-intersections in the polygonal curve described by the
network. We design the hybrid wombling algorithm that allows for
network splitting and merging and guarantees local convergence to
the critical configurations of the wombliness, while monotonically
optimizing it. The technical approach combines ideas from
statistical estimation, dynamical systems, and hybrid modeling and
design.
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Mechanical and Aerospace Engineering,
University of California, San Diego
9500 Gilman Dr,
La Jolla, California, 92093-0411
Ph: 1-858-822-7930
Fax: 1-858-822-3107
cortes at ucsd.edu
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