基于RCS的三维低可探测性轨迹优化方法

摘要

The method of finding an optimal aircraft trajectory to minimize the probability of detection by opponent radar detection systems is proposed. RCS data model, a three dimension (3D) aircraft and detection model, was established first. And then, the problem was described as an optimal control problem. The constraint functions were constructed by attitude control, trajectory constraints and boundary conditions. The cost function was formed to minimize both the probability of detection and the total flight tune. After that, the continuous optimal control problem was parameterized to discrete nonlinear programming problem by Gauss pseudospectral method ( GPM ). Simulation results demonstrate the feasibility of the proposed method in low observable three-dimension trajectory optimization problem with monostatic radar and bistatic radar system, and it is also shown that the probability of detection and the exposure time decrease significantly.%针对基于雷达散射截面(RCS)规避雷达威胁的飞行轨迹优化问题,提出了低可探测性三维轨迹优化的求解方法.通过B样条拟合构建连续可微的RCS数据模型,结合三维飞行动力学模型,建立规避雷达威胁下的飞行运动控制模型.将轨迹优化问题描述成为最优控制问题,其中飞行姿态控制、轨迹约束、边界条件作为约束条件,以降低雷达探测概率和减少飞行时间为目标函数.运用高斯伪谱法( GPM)将连续的最优控制问题转换为离散的非线性规划问题进行求解.仿真结果证明本文方法实现了求解单基地雷达和双基地雷达探测环境中低可探测性三维轨迹优化问题,有效降低了飞行过程中的雷达探测概率和暴露时间.