飞船再入制导最佳反馈增益系数规律

A Study of the Optimal Feedback-Gain-Coefficients of Reentry Guidance for Spacecraft

为了获取基于标准轨道返回舱再入纵向制导的最佳反馈增益系数 ,建立了纵平面运动方程 ,推导了对应于纵向制导规律的摄动微分方程。根据Pontryagin极小值原理 ,给出了最优反馈控制律 ,求解Riccati方程 ,即可得到最佳反馈增益系数。考虑到实现的可行性 ,将时变的增益系数逼近成常数或分段常数 ,得到次优反馈增益系数 ,取得了满意的制导效果。

Based on the nominal reentry trajectory, this paper presents the optimal feedback gain coefficients (FGCs) of the reentry longitudinal guidance for the return module First of all, the longitudinal planar motion equations are modeled Secondly, corresponding to the longitudinal guidance law the perturbation differential equations are derived Finally, according to the Pontryagin minimum principle, the optimal FGCs are given by solving the Riccati equation Considering the practical feasibility, the varying gain coefficients are approximated to constant ones or gradual constant ones to form the sub optimal FGCs And the satisfactory guidance results are achieved