最小燃料消耗的有限推力轨道转移优化设计

介绍了伪光谱方法在空间飞行器轨道转移最优化问题中的应用。文中首先给出了空间飞行器轨道转移最优控制问题模型。然后,应用伪光谱方法将最优控制问题离散化为非线性规划问题,选取各配点上的状态量和控制量作为优化参数。最后应用基于Matlab语言的SNOPT软件包对参数最优化问题进行求解,该软件包对于求解大型非线性规划问题具有很好的收敛性。仿真结果表明伪光谱方法对于空间飞行器转移轨道初始参数取值不敏感,具有一定的鲁棒性。因此,伪光谱方法对于空间飞行器有限推力轨道转移问题的求解是可行的。

Optimal Design of Minimum Fuel in Orbital Transfer with Finite Thrust

The application of Legendre pseudospectral method to the optimization space vehicle orbital transfer with finite thrust is studied.Firstly,the model of orbital transfer optimal control is established.Then,the optimal control problem is transformed into a nonlinear programming problem(NLP) using Legendre pseudospectral method,and the dynamic optimization problem is transformed into a static parameter optimization problem.The state variables and control variables are selected as optimal parameters at all collocation nodes.Finally,the parameter optimization problem is solved using the SNOPT software package.The simulation results demonstrate that Legendre pseudospectral method is not sensitive to orbital transfer initial conditions;they also show that the optimal solutions of the orbital transfer optimization problem are fairly good in robustness.Therefore,Legendre pseudospectral method is a viable approach to the optimization of space vehicle orbital transfer with finite thrust.