3-Dimensional lunar ascent reference trajectory optimization and analyses via Gauss Pseudospectral method

Wangwang Liu; Weiren Wu; Shengying Zhu; Haibin Shang

doi:10.1109/CCDC.2011.5968175

3-Dimensional lunar ascent reference trajectory optimization and analyses via Gauss Pseudospectral method

Wangwang Liu^*, Weiren Wu, Shengying Zhu, Haibin Shang

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

A Gauss Pseudospectral Method for trajectory optimization is presented and applied successfully to the 3-dimensional lunar ascent problem in this paper. Firstly, the profile of lunar ascent is discussed. In order to setup the optimal control problem, 3-dimensional dynamics and kinematics equations of the lunar ascent is established, the angle of attack and bank angle are chosen as optimal control variables. Then the Gauss Pseudospectral Method is used to transform the optimal control problem into a nonlinear programming problem. At last, the optimum trajectory is attained by a NLP solver. Simulation results and analyses illustrate that GPM have good robustness, strong convergence and is almost insensitive to initial guesses, it's an effective method for pre-establishing the suboptimal lunar ascent trajectory.

Original language	English
Title of host publication	Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011
Pages	219-224
Number of pages	6
DOIs	https://doi.org/10.1109/CCDC.2011.5968175
Publication status	Published - 2011
Externally published	Yes
Event	2011 Chinese Control and Decision Conference, CCDC 2011 - Mianyang, China Duration: 23 May 2011 → 25 May 2011

Publication series

Name	Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011

Conference

Conference	2011 Chinese Control and Decision Conference, CCDC 2011
Country/Territory	China
City	Mianyang
Period	23/05/11 → 25/05/11

Keywords

Gauss Pseudospectral Method
Lunar Ascent
Nonlinear Programming
Trajectory Optimization

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10.1109/CCDC.2011.5968175

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Liu, W., Wu, W., Zhu, S., & Shang, H. (2011). 3-Dimensional lunar ascent reference trajectory optimization and analyses via Gauss Pseudospectral method. In Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011 (pp. 219-224). Article 5968175 (Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011). https://doi.org/10.1109/CCDC.2011.5968175

@inproceedings{22dcbb3988ad4c019e8553935463774b,

title = "3-Dimensional lunar ascent reference trajectory optimization and analyses via Gauss Pseudospectral method",

abstract = "A Gauss Pseudospectral Method for trajectory optimization is presented and applied successfully to the 3-dimensional lunar ascent problem in this paper. Firstly, the profile of lunar ascent is discussed. In order to setup the optimal control problem, 3-dimensional dynamics and kinematics equations of the lunar ascent is established, the angle of attack and bank angle are chosen as optimal control variables. Then the Gauss Pseudospectral Method is used to transform the optimal control problem into a nonlinear programming problem. At last, the optimum trajectory is attained by a NLP solver. Simulation results and analyses illustrate that GPM have good robustness, strong convergence and is almost insensitive to initial guesses, it's an effective method for pre-establishing the suboptimal lunar ascent trajectory.",

keywords = "Gauss Pseudospectral Method, Lunar Ascent, Nonlinear Programming, Trajectory Optimization",

author = "Wangwang Liu and Weiren Wu and Shengying Zhu and Haibin Shang",

year = "2011",

doi = "10.1109/CCDC.2011.5968175",

language = "English",

isbn = "9781424487363",

series = "Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011",

pages = "219--224",

booktitle = "Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011",

note = "2011 Chinese Control and Decision Conference, CCDC 2011 ; Conference date: 23-05-2011 Through 25-05-2011",

}

Liu, W, Wu, W, Zhu, S & Shang, H 2011, 3-Dimensional lunar ascent reference trajectory optimization and analyses via Gauss Pseudospectral method. in Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011., 5968175, Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011, pp. 219-224, 2011 Chinese Control and Decision Conference, CCDC 2011, Mianyang, China, 23/05/11. https://doi.org/10.1109/CCDC.2011.5968175

3-Dimensional lunar ascent reference trajectory optimization and analyses via Gauss Pseudospectral method. / Liu, Wangwang; Wu, Weiren; Zhu, Shengying et al.
Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011. 2011. p. 219-224 5968175 (Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011).

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

TY - GEN

T1 - 3-Dimensional lunar ascent reference trajectory optimization and analyses via Gauss Pseudospectral method

AU - Liu, Wangwang

AU - Wu, Weiren

AU - Zhu, Shengying

AU - Shang, Haibin

PY - 2011

Y1 - 2011

N2 - A Gauss Pseudospectral Method for trajectory optimization is presented and applied successfully to the 3-dimensional lunar ascent problem in this paper. Firstly, the profile of lunar ascent is discussed. In order to setup the optimal control problem, 3-dimensional dynamics and kinematics equations of the lunar ascent is established, the angle of attack and bank angle are chosen as optimal control variables. Then the Gauss Pseudospectral Method is used to transform the optimal control problem into a nonlinear programming problem. At last, the optimum trajectory is attained by a NLP solver. Simulation results and analyses illustrate that GPM have good robustness, strong convergence and is almost insensitive to initial guesses, it's an effective method for pre-establishing the suboptimal lunar ascent trajectory.

AB - A Gauss Pseudospectral Method for trajectory optimization is presented and applied successfully to the 3-dimensional lunar ascent problem in this paper. Firstly, the profile of lunar ascent is discussed. In order to setup the optimal control problem, 3-dimensional dynamics and kinematics equations of the lunar ascent is established, the angle of attack and bank angle are chosen as optimal control variables. Then the Gauss Pseudospectral Method is used to transform the optimal control problem into a nonlinear programming problem. At last, the optimum trajectory is attained by a NLP solver. Simulation results and analyses illustrate that GPM have good robustness, strong convergence and is almost insensitive to initial guesses, it's an effective method for pre-establishing the suboptimal lunar ascent trajectory.

KW - Gauss Pseudospectral Method

KW - Lunar Ascent

KW - Nonlinear Programming

KW - Trajectory Optimization

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U2 - 10.1109/CCDC.2011.5968175

DO - 10.1109/CCDC.2011.5968175

M3 - Conference contribution

AN - SCOPUS:80052225615

SN - 9781424487363

T3 - Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011

SP - 219

EP - 224

BT - Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011

T2 - 2011 Chinese Control and Decision Conference, CCDC 2011

Y2 - 23 May 2011 through 25 May 2011

ER -

3-Dimensional lunar ascent reference trajectory optimization and analyses via Gauss Pseudospectral method

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