Lunar soft landing rapid trajectory optimization using direct collocation method and nonlinear programming

Lianghui Tu; Jianping Yuan; Jianjun Luo; Xin Ning; Ruiwu Zhou

doi:10.1117/12.774978

10 November 2007 Lunar soft landing rapid trajectory optimization using direct collocation method and nonlinear programming

Lianghui Tu, Jianping Yuan, Jianjun Luo, Xin Ning, Ruiwu Zhou

Author Affiliations +

Proceedings Volume 6795, Second International Conference on Space Information Technology; 67954T (2007) https://doi.org/10.1117/12.774978
Event: Second International Conference on Spatial Information Technology, 2007, Wuhan, China

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.

Citation Download Citation

Lianghui Tu, Jianping Yuan, Jianjun Luo, Xin Ning, and Ruiwu Zhou "Lunar soft landing rapid trajectory optimization using direct collocation method and nonlinear programming", Proc. SPIE 6795, Second International Conference on Space Information Technology, 67954T (10 November 2007); https://doi.org/10.1117/12.774978

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