Applying nonlinear programming to solve optimal control problem of lunar probe soft landing

Yongzheng Shan; Guangren Duan

doi:10.1109/CHICC.2006.4347573

Applying nonlinear programming to solve optimal control problem of lunar probe soft landing

Yongzheng Shan^*
, Guangren Duan

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

2 Scopus citations

Abstract

A method of applying nonlinear program to solve optimal control problem of lunar probe soft landing under finite thrust is studied. Based on Pontryagin maximum principle, the lunar soft landing problem is transformed into a two-point boundary value problem. Considering bound condition and transversality condition, the resulted two-point boundary value problem is converted into parameters optimization problem aiming at the initial values of conjugate variables which is solved by nonlinear programming. The result of the simulation demonstrates the proposed design scheme is simple and effective.

Original language	English
Title of host publication	Proceedings of the 26th Chinese Control Conference, CCC 2007
Pages	485-487
Number of pages	3
DOIs	https://doi.org/10.1109/CHICC.2006.4347573
State	Published - 2007
Event	26th Chinese Control Conference, CCC 2007 - Zhangjiajie, China Duration: 26 Jul 2007 → 31 Jul 2007

Publication series

Name	Proceedings of the 26th Chinese Control Conference, CCC 2007

Conference

Conference	26th Chinese Control Conference, CCC 2007
Country/Territory	China
City	Zhangjiajie
Period	26/07/07 → 31/07/07

Keywords

Lunar soft landing
Nonlinear programming
Two-point boundary problem

Access to Document

10.1109/CHICC.2006.4347573

Cite this

@inproceedings{2e86218130e04557b98499cdbcca243e,

title = "Applying nonlinear programming to solve optimal control problem of lunar probe soft landing",

abstract = "A method of applying nonlinear program to solve optimal control problem of lunar probe soft landing under finite thrust is studied. Based on Pontryagin maximum principle, the lunar soft landing problem is transformed into a two-point boundary value problem. Considering bound condition and transversality condition, the resulted two-point boundary value problem is converted into parameters optimization problem aiming at the initial values of conjugate variables which is solved by nonlinear programming. The result of the simulation demonstrates the proposed design scheme is simple and effective.",

keywords = "Lunar soft landing, Nonlinear programming, Two-point boundary problem",

author = "Yongzheng Shan and Guangren Duan",

year = "2007",

doi = "10.1109/CHICC.2006.4347573",

language = "英语",

isbn = "7900719229",

series = "Proceedings of the 26th Chinese Control Conference, CCC 2007",

pages = "485--487",

booktitle = "Proceedings of the 26th Chinese Control Conference, CCC 2007",

note = "26th Chinese Control Conference, CCC 2007 ; Conference date: 26-07-2007 Through 31-07-2007",

}

Shan, Y & Duan, G 2007, Applying nonlinear programming to solve optimal control problem of lunar probe soft landing. in Proceedings of the 26th Chinese Control Conference, CCC 2007., 4347573, Proceedings of the 26th Chinese Control Conference, CCC 2007, pp. 485-487, 26th Chinese Control Conference, CCC 2007, Zhangjiajie, China, 26/07/07. https://doi.org/10.1109/CHICC.2006.4347573

Applying nonlinear programming to solve optimal control problem of lunar probe soft landing. / Shan, Yongzheng; Duan, Guangren.
Proceedings of the 26th Chinese Control Conference, CCC 2007. 2007. p. 485-487 4347573 (Proceedings of the 26th Chinese Control Conference, CCC 2007).

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

TY - GEN

T1 - Applying nonlinear programming to solve optimal control problem of lunar probe soft landing

AU - Shan, Yongzheng

AU - Duan, Guangren

PY - 2007

Y1 - 2007

N2 - A method of applying nonlinear program to solve optimal control problem of lunar probe soft landing under finite thrust is studied. Based on Pontryagin maximum principle, the lunar soft landing problem is transformed into a two-point boundary value problem. Considering bound condition and transversality condition, the resulted two-point boundary value problem is converted into parameters optimization problem aiming at the initial values of conjugate variables which is solved by nonlinear programming. The result of the simulation demonstrates the proposed design scheme is simple and effective.

AB - A method of applying nonlinear program to solve optimal control problem of lunar probe soft landing under finite thrust is studied. Based on Pontryagin maximum principle, the lunar soft landing problem is transformed into a two-point boundary value problem. Considering bound condition and transversality condition, the resulted two-point boundary value problem is converted into parameters optimization problem aiming at the initial values of conjugate variables which is solved by nonlinear programming. The result of the simulation demonstrates the proposed design scheme is simple and effective.

KW - Lunar soft landing

KW - Nonlinear programming

KW - Two-point boundary problem

UR - https://www.scopus.com/pages/publications/37749009395

U2 - 10.1109/CHICC.2006.4347573

DO - 10.1109/CHICC.2006.4347573

M3 - 会议稿件

AN - SCOPUS:37749009395

SN - 7900719229

SN - 9787900719225

T3 - Proceedings of the 26th Chinese Control Conference, CCC 2007

SP - 485

EP - 487

BT - Proceedings of the 26th Chinese Control Conference, CCC 2007

T2 - 26th Chinese Control Conference, CCC 2007

Y2 - 26 July 2007 through 31 July 2007

ER -

Applying nonlinear programming to solve optimal control problem of lunar probe soft landing

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