Fuel-efficient navigation in complex flows
Senatore, C.
Ross, S.D.
Dept. of Eng. Sci. & Mech., Virginia Tech, Blacksburg, VA;
This paper appears in: American Control Conference, 2008
Publication Date: 11-13 June 2008
On page(s): 1244-1248
Location: Seattle, WA,
ISSN: 0743-1619
ISBN: 978-1-4244-2078-0
INSPEC Accession Number: 10067513
Digital Object Identifier: 10.1109/ACC.2008.4586663
Current Version Published: 2008-08-05
Abstract
In realistic time-chaotic flows, the time-dependent separatrices are revealed by Lagrangian coherent structures (LCS). The LCS surfaces organize complex flows, revealing dynamical channels useful for weakly propelled mobile agents. We propose a feedback control strategy to explicitly incorporate LCS, which are in general evolving. Inane et al. (2005) observed that the fuel optimal trajectory in ocean flow seems to lie on a moving LCS surface. We take this observation a step further by explicitly incorporating the moving LCS location into the control strategy. We have the vehicle track an LCS surface, considering this a time-dependent boundary following problem, with the aim of following lanes of fuel-efficient motion delineated by LCS surfaces. We demonstrate this strategy in a double-gyre flow and find that indeed a strategy using LCS is feasible and uses less fuel than a naive direct targeting approach.
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