An Approximate Optimal Maximum Range Guidance Scheme for Subsonic Unpowered Gliding Vehicles

This study investigates the maximum gliding range problems of subsonic unpowered gliding vehicles and proposes an approximate optimal maximum range guidance scheme. First, the gliding flight path angle corresponding to constant dynamic pressure is derived. A lift-to-drag ratio (L/D) inversely propor...

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Main Authors: Dao-Chi Zhang, Qun-Li Xia, Qiu-Qiu Wen, Guan-qun Zhou
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:International Journal of Aerospace Engineering
Online Access:http://dx.doi.org/10.1155/2015/389751
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author Dao-Chi Zhang
Qun-Li Xia
Qiu-Qiu Wen
Guan-qun Zhou
author_facet Dao-Chi Zhang
Qun-Li Xia
Qiu-Qiu Wen
Guan-qun Zhou
author_sort Dao-Chi Zhang
collection DOAJ
description This study investigates the maximum gliding range problems of subsonic unpowered gliding vehicles and proposes an approximate optimal maximum range guidance scheme. First, the gliding flight path angle corresponding to constant dynamic pressure is derived. A lift-to-drag ratio (L/D) inversely proportional to the dynamic pressure is then proven. On this basis, the calculation method of an optimal dynamic pressure (ODP) profile with a maximum L/D throughout the flight is presented. A guidance scheme for tracking the ODP profile, which uses the flight path angle as control variable, is then designed. The maximum ranges of the unpowered gliding vehicle obtained by the proposed guidance scheme and pseudospectral method are compared. Results show that the guidance scheme provides an accurate approximation of the optimal results, and the errors are less than 2%. The proposed guidance scheme is easy to implement and is not influenced by wind compared with numerical schemes.
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institution OA Journals
issn 1687-5966
1687-5974
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series International Journal of Aerospace Engineering
spelling doaj-art-b0f07a6305ec4658aa2d07fee62d01972025-08-20T02:23:15ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742015-01-01201510.1155/2015/389751389751An Approximate Optimal Maximum Range Guidance Scheme for Subsonic Unpowered Gliding VehiclesDao-Chi Zhang0Qun-Li Xia1Qiu-Qiu Wen2Guan-qun Zhou3School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, ChinaThis study investigates the maximum gliding range problems of subsonic unpowered gliding vehicles and proposes an approximate optimal maximum range guidance scheme. First, the gliding flight path angle corresponding to constant dynamic pressure is derived. A lift-to-drag ratio (L/D) inversely proportional to the dynamic pressure is then proven. On this basis, the calculation method of an optimal dynamic pressure (ODP) profile with a maximum L/D throughout the flight is presented. A guidance scheme for tracking the ODP profile, which uses the flight path angle as control variable, is then designed. The maximum ranges of the unpowered gliding vehicle obtained by the proposed guidance scheme and pseudospectral method are compared. Results show that the guidance scheme provides an accurate approximation of the optimal results, and the errors are less than 2%. The proposed guidance scheme is easy to implement and is not influenced by wind compared with numerical schemes.http://dx.doi.org/10.1155/2015/389751
spellingShingle Dao-Chi Zhang
Qun-Li Xia
Qiu-Qiu Wen
Guan-qun Zhou
An Approximate Optimal Maximum Range Guidance Scheme for Subsonic Unpowered Gliding Vehicles
International Journal of Aerospace Engineering
title An Approximate Optimal Maximum Range Guidance Scheme for Subsonic Unpowered Gliding Vehicles
title_full An Approximate Optimal Maximum Range Guidance Scheme for Subsonic Unpowered Gliding Vehicles
title_fullStr An Approximate Optimal Maximum Range Guidance Scheme for Subsonic Unpowered Gliding Vehicles
title_full_unstemmed An Approximate Optimal Maximum Range Guidance Scheme for Subsonic Unpowered Gliding Vehicles
title_short An Approximate Optimal Maximum Range Guidance Scheme for Subsonic Unpowered Gliding Vehicles
title_sort approximate optimal maximum range guidance scheme for subsonic unpowered gliding vehicles
url http://dx.doi.org/10.1155/2015/389751
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