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不确定条件下高超声速俯冲弹道鲁棒优化
作者姓名:王培臣  张睿轩  闫循良
作者单位:西北工业大学 航天学院;中国航空工业空气动力研究院
基金项目:国家自然科学基金(11602296)
摘    要:针对俯冲段不确定性因素所导致的弹道偏差和落点精度问题,研究了一种增强弹道抗干扰能力的高超声速滑翔飞行器俯冲攻击鲁棒弹道优化方法。首先建立了考虑模型偏差、阵风干扰等不确定性因素的滑翔飞行器俯冲段运动数学模型;其次,推导了不确定条件下滑翔飞行器运动模型的雅各比矩阵解析表达式,得到了基于线性协方差分析法的系统误差传播方程;最后,建立了不确定性条件下的俯冲段弹道优化模型,并应用高斯伪谱法对该弹道优化问题进行求解。仿真结果表明,与不考虑不确定性因素影响的弹道优化方法相比,本文方法可有效提高高超滑翔飞行器俯冲弹道抗干扰能力,且抗干扰能力随着权重系数值的增大而增强。

关 键 词:高超声速滑翔飞行器  俯冲弹道  鲁棒优化  不确定性  线性协方差分析  抗干扰

Robust Optimization of Hypersonic Diving Trajectory under Uncertain Conditions
Authors:WANG Peichen  ZHANG Ruixuan  YAN Xunliang
Institution:Northwestern Polytechnical University School of Astronautics;Aerodynamic Research Institute of Aviation Industry Corporation of China
Abstract:Aiming at the problem of ballistic deviation and drop accuracy caused by the uncertainty of the subduction section, a robust ballistic optimization method for hypersonic gliding aircraft with enhanced ballistic anti-jamming capability is studied. Firstly, the mathematical model of the gliding aircraft''s subduction section is established considering the uncertainty of model deviation and gust disturbance. Secondly, the analytical expression of the Jacobian matrix of the gliding aircraft motion model with uncertain conditions is derived and the linear covariance is obtained. The systematic error propagation equation of the analysis method is established. Finally, the ballistic optimization model of the subduction section under uncertainty is established, and the ballistic optimization problem is solved by Gaussian Pseudospectral method. The simulation results show that compared with the ballistic optimization method which does not consider the influence of uncertain factors, the proposed method can effectively improve the anti-interference ability of the submarine trajectory of the super-glider, and the anti-interference ability increases with the increase of the weight coefficient.
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