Trajectory generation using a Modified Simple Shooting Method

Ashley Trent; Ram Venkataraman; David Doman

doi:10.1109/AERO.2004.1368069

Trajectory generation using a Modified Simple Shooting Method

Ashley Trent, Ram Venkataraman, David Doman

Mathematics and Statistics

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

12 Scopus citations

Abstract

In this paper, we combine the theoretical result of Pontryagin's Minimum Principle and a new numerical method to obtain a fast algorithm for the trajectory design problem for a reusable launch vehicle. We work with the outer-loop equations for an aircraft and consider the angle-of-attack to be the input. We cast the trajectory design problem as an optimal control problem and use Pontryagin's Minimum Principle to obtain first order necessary conditions. These are in the form of a two-point boundary-value problem (TPBVP) and we solve them by means of the Modified Simple Shooting Method (MSSM). In recent work, the MSSM has been shown to be superior, both in speed and accuracy, for TPBVPs.

Original language	English
Title of host publication	2004 IEEE Aerospace Conference Proceedings
Pages	2723-2729
Number of pages	7
DOIs	https://doi.org/10.1109/AERO.2004.1368069
State	Published - 2004
Event	2004 IEEE Aerospace Conference Proceedings - Big Sky, MT, United States Duration: Mar 6 2004 → Mar 13 2004

Publication series

Name	IEEE Aerospace Conference Proceedings
Volume	4
ISSN (Print)	1095-323X

Conference

Conference	2004 IEEE Aerospace Conference Proceedings
Country/Territory	United States
City	Big Sky, MT
Period	03/6/04 → 03/13/04

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10.1109/AERO.2004.1368069

Cite this

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title = "Trajectory generation using a Modified Simple Shooting Method",

abstract = "In this paper, we combine the theoretical result of Pontryagin's Minimum Principle and a new numerical method to obtain a fast algorithm for the trajectory design problem for a reusable launch vehicle. We work with the outer-loop equations for an aircraft and consider the angle-of-attack to be the input. We cast the trajectory design problem as an optimal control problem and use Pontryagin's Minimum Principle to obtain first order necessary conditions. These are in the form of a two-point boundary-value problem (TPBVP) and we solve them by means of the Modified Simple Shooting Method (MSSM). In recent work, the MSSM has been shown to be superior, both in speed and accuracy, for TPBVPs.",

author = "Ashley Trent and Ram Venkataraman and David Doman",

year = "2004",

doi = "10.1109/AERO.2004.1368069",

language = "English",

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AU - Trent, Ashley

AU - Venkataraman, Ram

AU - Doman, David

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AB - In this paper, we combine the theoretical result of Pontryagin's Minimum Principle and a new numerical method to obtain a fast algorithm for the trajectory design problem for a reusable launch vehicle. We work with the outer-loop equations for an aircraft and consider the angle-of-attack to be the input. We cast the trajectory design problem as an optimal control problem and use Pontryagin's Minimum Principle to obtain first order necessary conditions. These are in the form of a two-point boundary-value problem (TPBVP) and we solve them by means of the Modified Simple Shooting Method (MSSM). In recent work, the MSSM has been shown to be superior, both in speed and accuracy, for TPBVPs.

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DO - 10.1109/AERO.2004.1368069

M3 - Conference contribution

AN - SCOPUS:11244306000

SN - 0780381556

T3 - IEEE Aerospace Conference Proceedings

SP - 2723

EP - 2729

BT - 2004 IEEE Aerospace Conference Proceedings

Y2 - 6 March 2004 through 13 March 2004

ER -

Trajectory generation using a Modified Simple Shooting Method

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