北京航空航天大学学报 ›› 2019, Vol. 45 ›› Issue (1): 109-122.doi: 10.13700/j.bh.1001-5965.2017.0545

• 论文 • 上一篇    下一篇

高超声速飞行器平稳滑翔弹道扰动运动伴随分析

赫泰龙1, 陈万春1, 刘芳2   

  1. 1. 北京航空航天大学 宇航学院, 北京 100083;
    2. 北京航天长征飞行器研究所, 北京 100076
  • 收稿日期:2017-08-31 修回日期:2018-03-30 出版日期:2019-01-20 发布日期:2019-01-28
  • 通讯作者: 陈万春 E-mail:wanchun_chen@buaa.edu.cn
  • 作者简介:赫泰龙,男,博士研究生。主要研究方向:飞行力学、弹道优化、拦截仿真;陈万春,男,博士,教授,博士生导师。主要研究方向:飞行力学、导弹制导与控制;刘芳,女,博士。主要研究方向:飞行力学、拦截仿真。

Adjoint analysis of steady glide trajectory with disturbance motion for hypersonic vehicle

HE Tailong1, CHEN Wanchun1, LIU Fang2   

  1. 1. School of Astronautics, Beihang University, Beijing 100083, China;
    2. Beijing Institute of Space Long March Vehicle, Beijing 100076, China
  • Received:2017-08-31 Revised:2018-03-30 Online:2019-01-20 Published:2019-01-28

摘要: 针对高超声速飞行器平稳滑翔弹道扰动运动问题,研究了伴随仿真方法及其应用。首先,利用伴随系统的数学定义式,从新的角度给出了伴随仿真方法的统一解释,包括误差预算性质和伴随一次仿真结果一般意义;对于随机线性系统,导出协方差分析的伴随。然后,在滑翔动力学建模和平稳滑翔弹道定义基础上,得到了平稳滑翔弹道定义的一致性;建立初始状态和气动力存在干扰的动力学模型,并在小扰动假设下得到标准平稳滑翔弹道附近的线性化微分方程。最后,通过伴随仿真算例,分析了确定性常值小扰动和随机扰动对平稳滑翔弹道的终端状态的影响,同时对比非线性仿真和蒙特卡罗仿真,结果吻合;伴随仿真方法的计算效率优势明显。

关键词: 伴随法, 平稳滑翔弹道, 仿真分析, 线性系统, 蒙特卡罗法

Abstract: Aiming at the problem of steady glide trajectory for hypersonic vehicle with disturbance motion, the adjoint method and its application were studied. Based on the mathematical definition of adjoint system, interpretations of adjoint method were achieved in a new and general way, which include performance projections in error budget form and the general meaning of single adjoint computer run. For stochastic linear system, the adjoint of covariance analysis was derived. Then, based on the definition of glide dynamics model and the definition of steady glide trajectory, the consistency of the definition of steady glide trajectory was explored by simulation analysis. The dynamics model was built for glide with disturbances on initial states and aerodynamic forces. Under the assumption of small perturbations, the linearized differential equation was obtained as a perturbation to the nominal steady glide trajectory. Finally, adjoint simulation examples were taken to analyze the influence of the deterministic and stochastic disturbances on final states of the nominal steady glide trajectory, and the results agree closely with those by nonlinear simulations and Monte Carlo simulations, but the adjoint simulation offers a substantial increase in computing efficiency.

Key words: adjoint method, steady glide trajectory, simulation analysis, linear system, Monte Carlo method

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