Random geometric graphs as a model for bounding the endurance of soaring aircraft

Nathan T. Depenbusch; Constantino Lagoa; Jack W. Langelaan

doi:10.1109/CDC.2014.7039389

Random geometric graphs as a model for bounding the endurance of soaring aircraft

Nathan T. Depenbusch, Constantino Lagoa, Jack W. Langelaan

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

Soaring aircraft and birds utilize the energy of atmospheric convection to remain aloft. As this source of energy gains attention as a method for prolonging the flight times of small UAVs, it is necessary to evaluate the conditions under which it is a viable option. The indefinite endurance problem for soaring aircraft is cast in terms of a random geometric graph. Tools developed for the analysis of random graphs are used to bound the relationship between aircraft efficiency and energy abundance in the atmosphere. A theoretical threshold is arrived at, over which indefinite endurance flights may be possible in an unbounded domain. Simulation results are presented that confirm the existence of a threshold which compares favorably to what is predicted by random graph theory. Extensions are made to missions restricted to finite domains as well.

Original language	English (US)
Title of host publication	53rd IEEE Conference on Decision and Control,CDC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	248-253
Number of pages	6
Edition	February
ISBN (Electronic)	9781479977468
DOIs	https://doi.org/10.1109/CDC.2014.7039389
State	Published - 2014
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: Dec 15 2014 → Dec 17 2014

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Number	February
Volume	2015-February
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/Territory	United States
City	Los Angeles
Period	12/15/14 → 12/17/14

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2014.7039389

Cite this

Depenbusch, N. T., Lagoa, C., & Langelaan, J. W. (2014). Random geometric graphs as a model for bounding the endurance of soaring aircraft. In 53rd IEEE Conference on Decision and Control,CDC 2014 (February ed., pp. 248-253). Article 7039389 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2014.7039389

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abstract = "Soaring aircraft and birds utilize the energy of atmospheric convection to remain aloft. As this source of energy gains attention as a method for prolonging the flight times of small UAVs, it is necessary to evaluate the conditions under which it is a viable option. The indefinite endurance problem for soaring aircraft is cast in terms of a random geometric graph. Tools developed for the analysis of random graphs are used to bound the relationship between aircraft efficiency and energy abundance in the atmosphere. A theoretical threshold is arrived at, over which indefinite endurance flights may be possible in an unbounded domain. Simulation results are presented that confirm the existence of a threshold which compares favorably to what is predicted by random graph theory. Extensions are made to missions restricted to finite domains as well.",

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Depenbusch, NT, Lagoa, C & Langelaan, JW 2014, Random geometric graphs as a model for bounding the endurance of soaring aircraft. in 53rd IEEE Conference on Decision and Control,CDC 2014. February edn, 7039389, Proceedings of the IEEE Conference on Decision and Control, no. February, vol. 2015-February, Institute of Electrical and Electronics Engineers Inc., pp. 248-253, 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014, Los Angeles, United States, 12/15/14. https://doi.org/10.1109/CDC.2014.7039389

Random geometric graphs as a model for bounding the endurance of soaring aircraft. / Depenbusch, Nathan T.; Lagoa, Constantino ; Langelaan, Jack W.
53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. Institute of Electrical and Electronics Engineers Inc., 2014. p. 248-253 7039389 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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Depenbusch NT, Lagoa C , Langelaan JW. Random geometric graphs as a model for bounding the endurance of soaring aircraft. In 53rd IEEE Conference on Decision and Control,CDC 2014. February ed. Institute of Electrical and Electronics Engineers Inc. 2014. p. 248-253. 7039389. (Proceedings of the IEEE Conference on Decision and Control; February). doi: 10.1109/CDC.2014.7039389

Random geometric graphs as a model for bounding the endurance of soaring aircraft

Abstract

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All Science Journal Classification (ASJC) codes

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