1 research outputs found
Resource-Constrained Adaptive Search and Tracking for Sparse Dynamic Targets
This paper considers the problem of resource-constrained and noise-limited
localization and estimation of dynamic targets that are sparsely distributed
over a large area. We generalize an existing framework [Bashan et al, 2008] for
adaptive allocation of sensing resources to the dynamic case, accounting for
time-varying target behavior such as transitions to neighboring cells and
varying amplitudes over a potentially long time horizon. The proposed adaptive
sensing policy is driven by minimization of a modified version of the
previously introduced ARAP objective function, which is a surrogate function
for mean squared error within locations containing targets. We provide
theoretical upper bounds on the performance of adaptive sensing policies by
analyzing solutions with oracle knowledge of target locations, gaining insight
into the effect of target motion and amplitude variation as well as sparsity.
Exact minimization of the multi-stage objective function is infeasible, but
myopic optimization yields a closed-form solution. We propose a simple
non-myopic extension, the Dynamic Adaptive Resource Allocation Policy (D-ARAP),
that allocates a fraction of resources for exploring all locations rather than
solely exploiting the current belief state. Our numerical studies indicate that
D-ARAP has the following advantages: (a) it is more robust than the myopic
policy to noise, missing data, and model mismatch; (b) it performs comparably
to well-known approximate dynamic programming solutions but at significantly
lower computational complexity; and (c) it improves greatly upon non-adaptive
uniform resource allocation in terms of estimation error and probability of
detection.Comment: 49 pages, 1 table, 11 figure