亚轨道飞行器发动机故障下配平能力分析

为了分析亚轨道飞行器发动机故障下配平能力，将配平能力问题转换为线性等式/不等式混合方程组相容性判定问题。提出了将基于顶点投影法的相容性判定方法用于配平能力分析，验证了方法的准确性与计算效率。在故障下配平能力分析的总体框架下，分别对不同故障模式下故障发生时刻、整个空域配平能力进行分析，给出了配平能力不足时的应急策略。仿真结果表明，该方法能够快速地计算故障下不可配平区域、分析配平能力对可飞区域的影响，对故障后任务中止策略、任务中止轨迹优化等研究具有重要的参考价值。

Trim capacity analysis of suborbital reusable launch vehicle with engine failure

In order to analyze the trim capacity of the suborbital reusable launch vehicle with engine failure, the problem of trim capacity is converted to the problem of compatibility decision of linear equality/inequality mixture equations. A method based on vertex-projection is proposed and used in trim capacity analysis. The accuracy and efficiency of the method are verified. In the framework of trim capacity analysis, the trim capacities at failure-time and for state-space under different failure modes are analyzed respectively. Moreover, contingency strategy is given in the case that trim capacity is insufficient. Simulation results indicate that the method can rapidly calculate non-trimmable region, and analyze the influence of trim capacity on flyable region. These results have important reference values for abort strategy and abort trajectory optimization.