运载火箭推力故障下轨迹在线重规划方法

针对运载火箭非入轨飞行段出现动力系统故障的问题，提出了一种基于能量最优的在线轨迹重规划方法。通过参考轨迹进行引力项的凸化以及根据故障时刻和故障程度的不同设置不同的飞行时长，同时采用无损凸化、线性化和梯形离散等方法，将原始最优控制问题转化为可以采用原对偶内点法迭代求解的二阶锥规划问题，重新规划其飞行轨迹。仿真结果表明该算法能有效提高运载火箭应对突发故障的能力，实现轨迹在线快速收敛，满足动力系统故障后飞行轨迹重构需求。

Online Replanning Method for Trajectory under Launch Vehicle Thrust Failure

An energy-optimal online trajectory replanning method is proposed for the problem of power system failure in the non-entry flight segment of the launch vehicle. The original optimal control problem is transformed into a second-order cone planning problem that can be solved iteratively using the original Primal-Dual Interior Point Method by convexifying the gravitational term of the reference trajectory and setting different flight durations according the time of failure and the degree of failure, while using lossless convexity, linearization and trapezoidal discretization methods to replan its flight trajectory. The simulation results show that the algorithm can effectively improve the ability of the launch vehicle to cope with the failure, achieve rapid convergence of the trajectory, and meet the demand for reconstructing the flight trajectory after the power system failure.