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Proceedings Paper

Lunar soft landing rapid trajectory optimization using direct collocation method and nonlinear programming
Author(s): Lianghui Tu; Jianping Yuan; Jianjun Luo; Xin Ning; Ruiwu Zhou
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Paper Abstract

Direct collocation method has been widely used for trajectory optimization. In this paper, the application of direct optimization method (direct collocation method & nonlinear programming (NLP)) to lunar probe soft-landing trajectory optimization is introduced. Firstly, the model of trajectory optimization control problem to lunar probe soft landing trajectory is established and the equations of motion are simplified respectively based on some reasonable hypotheses. Performance is selected to minimize the fuel consumption. The control variables are thrust attack angle and thrust of engine. Terminal state variable constraints are velocity and altitude constraints. Then, the optimal control problem is transformed into nonlinear programming problem using direct collocation method. The state variables and control variables are selected as optimal parameters at all nodes and collocation nodes. Parameter optimization problem is solved using the SNOPT software package. The simulation results demonstrate that the direct collocation method is not sensitive to lunar soft landing initial conditions; they also show that the optimal solutions of trajectory optimization problem are fairly good in real-time. Therefore, the direct collocation method is a viable approach to lunar probe soft landing trajectory optimization problem.

Paper Details

Date Published: 10 November 2007
PDF: 6 pages
Proc. SPIE 6795, Second International Conference on Space Information Technology, 67954T (10 November 2007); doi: 10.1117/12.774978
Show Author Affiliations
Lianghui Tu, Northwestern Polytechnical Univ. (China)
Jianping Yuan, Northwestern Polytechnical Univ. (China)
Jianjun Luo, Northwestern Polytechnical Univ. (China)
Xin Ning, Northwestern Polytechnical Univ. (China)
Ruiwu Zhou, Hongdu Aviation Industry Group (China)

Published in SPIE Proceedings Vol. 6795:
Second International Conference on Space Information Technology
Cheng Wang; Shan Zhong; Jiaolong Wei, Editor(s)

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