基于摄动理论的落点预测算法研究与仿真分析
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1.沈阳理工大学;2.辽沈工业集团研发中心

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Research and Simulation Analysis of Impact Point Prediction Algorithm Based on Perturbation Theory
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    摘要:

    针对一维修正弹外弹道的落点预测问题,提出了改进型摄动落点预测算法。建立了6-DOF刚体弹道模型,开展一维修正弹的气动仿真,推导了弹丸气动参数与马赫数、攻角的映射关系,进行弹道仿真,结合弹道应用算法对落点进行预测,该算法根据相对基准弹道上、下扰动弹道构建预测偏导数同时计算落点误差,并对预测落点误差进行均值处理,改善预测精度,通过离线阻力机构工作射程与修正距离映射关系,确定最优修正时间。在多种误差干扰条件下,对修正弹道落点的统计参数及对落点统计参数的评测,仿真结果验证了算法的有效性。构建了由弹道模拟、气动仿真、落点预测、弹道修正等联合的蒙特卡洛弹道仿真系统,实现对无、有控修正弹的炮射过程模拟。

    Abstract:

    Aiming at the impact point prediction of one-dimensional modified projectile exterior trajectory, an improved perturbation impact point prediction algorithm is proposed. A 6-DOF rigid trajectory model is established, and the aerodynamic simulation of one-dimensional correction projectile is carried out. The mapping relationship between aerodynamic parameters of projectile and Mach number and angle of attack is deduced, and the trajectory simulation is carried out. The trajectory application algorithm is used to predict the impact point. The algorithm constructs the predicted partial derivative according to the upper and lower disturbance trajectories of the relative reference trajectory and calculates the impact point error at the same time, and averages the predicted impact point error to improve the prediction accuracy. The optimal correction time is determined through the mapping relationship between the working range and the correction distance of the off-line resistance mechanism. Under the condition of various error interferences, the simulation results verify the effectiveness of the algorithm for correcting the statistical parameters of ballistic impact point and evaluating the statistical parameters of impact point. A Monte Carlo trajectory simulation system, which consists of trajectory simulation, pneumatic simulation, impact point prediction and trajectory correction, is constructed to simulate the firing process of non-controlled and controlled correction projectiles.

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  • 收稿日期:2023-11-02
  • 最后修改日期:2023-11-16
  • 录用日期:2023-11-18
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