In this paper, the far-distance nonplanar rapid cooperative rendezvous with multiple specific-direction thrusts is investigated. In the optimization process, the indirect method is adopted. The homotopy method is used to smooth the dynamical equations. The solutions of the initial co-state variables of the energy-optimal problem are obtained by the quantum-behaved particle swarm optimization (QPSO) algorithm. Sequential quadratic programming (SQP) algorithm is coupled into the homotopy method to overcome the difficulty in nonsmooth integration when the thrust switches on & off frequently. The solutions of the fuel-optimal problem are obtained by the homotopy-SQP coupled method. The simulation results show the feasibility of the cooperative rendezvous with multiple specific-direction thrusts. The “suitable point” of normal thrust is investigated.

本文研究了具有多个特定方向推力的远距离非平面快速协作交会。在优化过程中，采用间接方法。同伦方法用于平滑动力学方程。能量最优问题的初始共态变量的解是通过量子行为粒子群优化（QPSO）算法获得的。将序列二次规划（SQP）算法耦合到同伦方法中，以克服推力频繁开关时非光滑积分的困难。燃料最优问题的解是通过同伦-SQP 耦合方法获得的。仿真结果表明了多方向推力协同交会的可行性。