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直接优化算法在快速交会组合变轨策略中的应用

         

摘要

During the orbit maneuver at the long?range guidance stage of the short rendezvous and docking, there is a constraint of the rendezvous time and the impulsive rendezvous with the restriction of minimum fuel consumption and telemetry and control constraint is a multi?variable optimization problem. So, it is necessary to establish a hybrid optimization algorithm to solve it. Based on the Lambert two impulse of multi pulse rapid maneuver strategy model, a three?step serial hybrid intelli?gent optimization algorithm was proposed in this paper to solve the model. Firstly, the PSO was used to search the approximate solution of the global optimal solution. Then, the approximate solution was taken as the initial solution of the two body model and local optimization was performed with sequential quadratic programming algorithm for the approximate solution. The obtained solution was an exact so?lution with high precision. Finally, taken the solution of the two?body model as the initial value, the least square method was used to solve the problem of short rendezvous with nonlinear perturbation con?straints. The three?step serial hybrid optimization algorithm was verified and analyzed by the orbital el?ement based maneuver strategy. The simulation results showed that the algorithm could plan the orbit maneuver strategy for the short rendezvous from the elliptical orbit to the plane of the circular orbit, with the two elliptic orbits in different planes and with the constraint of the telemetry and control.%快速交会远程导引段轨道机动过程中,交会时间受限、考虑测控约束的最小燃料消耗脉冲交会属于多变量优化问题,需要建立一种混合的优化算法对问题求解.建立了基于Lambert双脉冲的多脉冲快速变轨策略模型,给出一种三步串行的混合智能优化算法对模型进行求解.首先利用粒子群算法搜到全局最优解的近似解;然后以全局最优解的近似解作为二体模型的初解,用序列二次规划算法对全局最优解的近似解进行局部优化,所得解为精度较高的精确解;最后以二体模型下所得的解为初值,用最小二乘法解非线性摄动约束的快速交会问题.使用三步串行的混合优化算法对基于轨道要素的变轨策略进行仿真验证与分析.仿真结果表明,该算法能够规划出椭圆轨道到圆轨道共面、两椭圆轨道异面以及考虑测控约束情况下的快速交会轨道机动策略.

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