基于约束规划的小天体接近段鲁棒制导控制方法

摘要

The robust guidance and control algorithms based on constrained programming for enabling spacecraft proximity operations about small-bodies are developed. Incorporating the gravity models of the target bodies, in addition to enabling the satisfaction of state and control constraints, allows the problem to be cast as a second-order cone program (SOCP). Considering the influence of uncertainties from gravity model and disturbance on tracking the guidance trajectory, the design of the feedback policy is conducted based on bounding arguments on the model uncertainty. The results from mathematical simulation show that the guidance and control algorithms based on the convex program provide a clear benefit over classical polynomial fit guidance methods in reducing guidance and control deviation and satisfying state and control constraints.%以小天体接近段任务为背景,提出了一种基于约束规划的鲁棒制导控制方法.该方法将目标天体引力模型引入轨迹规划进程中,并将具有控制约束与轨迹状态约束的非线性动力学路径规划问题转化为以优化燃耗为性能指标的二阶圆锥规划(second-order cone program,SOCP)问题;同时考虑目标天体引力模型与外界干扰等不确定因素对轨迹跟踪的影响,基于模型不确定界设计鲁棒反馈控制律.数学仿真证明,在相同条件下,基于凸规划的制导控制性能无论在制导控制偏差或是状态与控制约束满足方面均优于传统多项式拟合制导控制算法.