Title:
The Markov-Dubins Problem in the Presence of a Stochastic Drift Field

dc.contributor.author Anderson, Ross P.
dc.contributor.author Bakolas, Efstathios
dc.contributor.author Milutinovic, Dejan
dc.contributor.author Tsiotras, Panagiotis
dc.contributor.corporatename Georgia Institute of Technology. School of Aerospace Engineering en_US
dc.contributor.corporatename University of California, Santa Cruz. Applied Mathematics and Statistics en_US
dc.contributor.corporatename University of Texas at Austin. Department of Aerospace Engineering en_US
dc.date.accessioned 2015-03-26T18:08:02Z
dc.date.available 2015-03-26T18:08:02Z
dc.date.issued 2012-12
dc.description Copyright © 2012 IEEE en_US
dc.description Presented at 2012 IEEE 51st Annual Conference on Decision and Control (CDC).
dc.description DOI: dx.doi.org/10.1109/CDC.2012.6426674
dc.description.abstract We consider the problem of navigating a small Dubins-type aerial or marine vehicle to a prescribed destination set in minimum expected time and in the presence of a stochastic drift field induced by local winds or currents. First, we present a deterministic control law that is independent of the local winds/currents and their statistics. Next, by employing numerical techniques from stochastic optimal control, we compute an optimal feedback control strategy that incorporates the stochastic variation in the wind when driving the Dubins vehicle to its destination set in minimum expected time. Our analyses and simulations offer a side-by-side comparison of the optimal deterministic and stochastic optimal feedback control laws for this problem, and they illustrate that the deterministic control can, in many cases, capture the salient features of structure of the stochastic optimal feedback control. en_US
dc.embargo.terms null en_US
dc.identifier.citation Anderson, Ross P., et al. "The Markov-Dubins Problem in the Presence of a Stochastic Drift Field", 2012 IEEE 51st Annual Conference on Decision and Control (CDC), Maui, HI. Dec 10-13, 2012, pp 130-135. DOI: 10.1109/CDC.2012.6426674 en_US
dc.identifier.doi 10.1109/CDC.2012.6426674
dc.identifier.issn 0743-1546
dc.identifier.uri http://hdl.handle.net/1853/53242
dc.language.iso en_US en_US
dc.publisher Georgia Institute of Technology en_US
dc.subject Aircraft navigation en_US
dc.subject Stochastic processes en_US
dc.subject Optimal control en_US
dc.title The Markov-Dubins Problem in the Presence of a Stochastic Drift Field en_US
dc.type Text
dc.type.genre Post-print
dc.type.genre Proceedings
dspace.entity.type Publication
local.contributor.author Tsiotras, Panagiotis
local.contributor.corporatename Unmanned Aerial Vehicle Research Facility
relation.isAuthorOfPublication bd4969ec-a869-452f-81f1-9f2dc8118b3c
relation.isOrgUnitOfPublication 5a379df1-c9ee-4bc9-a46e-9969e0eda2b1
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