2015
DOI: 10.1142/s2301385015500144
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Monitoring an Advection-Diffusion Process Using Aerial Mobile Sensors

Abstract: A path planning framework for regional surveillance of a planar advection-diffusion process by aerial mobile sensors is proposed. The goal of the path planning is to produce feasible and collision-free trajectories for a set of aerial mobile sensors that minimize some uncertainty measure of the process under observation. The problem is formulated as a dynamic optimization problem and discretized into a large-scale nonlinear programming (NLP) problem using the Petrov–Galerkin finite element method in space and … Show more

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Cited by 14 publications
(9 citation statements)
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References 29 publications
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“…The latter could be termed "(dynamic) coverage control", where dynamic allude to the drifting nature of sea-ice. Results towards iceberg surveillance, including experiments, can be found in Imsland, 2013a,b, 2014c), while approaches towards surveillance of ice drift can be found in (Haugen et al, 2012;Haugen and Imsland, 2014b). These forms the basis for Joakim Haugen's PhD thesis (Haugen, 2014), which is in part summarized in Haugen and Imsland (2014a).…”
Section: Aerial Ice Monitoring By Dronesmentioning
confidence: 97%
“…The latter could be termed "(dynamic) coverage control", where dynamic allude to the drifting nature of sea-ice. Results towards iceberg surveillance, including experiments, can be found in Imsland, 2013a,b, 2014c), while approaches towards surveillance of ice drift can be found in (Haugen et al, 2012;Haugen and Imsland, 2014b). These forms the basis for Joakim Haugen's PhD thesis (Haugen, 2014), which is in part summarized in Haugen and Imsland (2014a).…”
Section: Aerial Ice Monitoring By Dronesmentioning
confidence: 97%
“…In this manuscript, we briefly discuss the following ice observation sub-tasks: target tracking, related to Mission 1, and dynamic coverage control, related to Mission 2. We provide an overview of common components that have been used to solve the mentioned sub-tasks in Haugen and Imsland (2014b) and Haugen and Imsland (2014a), respectively. We will finally display results from a hybrid field experiment of the target tracking task, which was first reported in Haugen and Imsland (2013b).…”
Section: Remotely Piloted Aircraft Systems In Cold Regionsmentioning
confidence: 99%
“…Previous work on state estimation dynamic coverage falls under two main approaches: optimal control formulations (Burns et al, 2009;Choi and How, 2010;Haugen and Imsland, 2014a), and gradient-based guidance algorithms (Demetriou and Hussein, 2009;Demetriou, 2010;Haugen et al, 2012). In the optimal control problem (OCP) formulation, one seeks to minimize some kind of objective functions that quantify the information reward of visiting a particular region.…”
Section: Dynamic Coverage Controlmentioning
confidence: 99%
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“…We also mention [3] that avoids the complexity of propagating the covariance matrix dynamics (the Riccati equations) in a receding horizon framework, by instead propagating an uncertainty measure using the advection-diffusion process directly. Motion planning is done by formulating a receding horizon optimization problem for possibly multiple sensors.…”
Section: Introductionmentioning
confidence: 99%