路径约束的时间最短多脉冲交会全局优化

不同于现有的多脉冲最优交会研究多集中于交会时间固定的最省燃料优化,研究了路径约束和脉冲受限的多脉冲最短时间交会问题。综合考虑了交会测量视场角、脉冲总量和脉冲作用时刻等约束,基于Lam-bert交会算法,建立了多脉冲交会最短时间优化的非线性规划模型。为了高效获得全局最优解,采用了模拟退火算法用于非线性优化问题的求解。最后,通过解决一个寻的三脉冲交会问题验证了模型和算法的有效性。该研究方法可寻找满足特定约束条件的最优交会轨道。

Global optimization of time-optimal multiple-impulse rendezvous with path constraints

Different from the current studies on optimal multiple-impulse rendezvous that always concentrate on fuel-optimal time-fixed rendezvous,this paper studies time-optimal multiple-impulse rendezvous with path constraints and impulse constraints.Considering the constraints such as the measure sight-angle,the total impulse magnitude and the time of imposing impulse,a nonlinear programming model for time-optimal multiple-impulse time-optimal rendezvous was established using the Lambert algorithm.In order to obtain the global solution efficiently,a simulated annealing algorithm was employed to resolve the resulting nonlinear optimization problem.The effectiveness of the proposed optimization model and algorithm was testified by solving a three-impulse homing rendezvous problem.The proposed method can be employed to seek the optimal rendezvous trajectory satisfying special constraints.