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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。
Aiming at the problem of flight path optimization based on radar cross-section (RCS) to avoid radar threat, a method to solve low-detectability 3D trajectory optimization is proposed. The continuous differentiable RCS data model was constructed by B-spline fitting, and combined with the three-dimensional flight dynamics model, the flight motion control model under the threat of radar was established. The trajectory optimization problem is described as the optimal control problem, in which flight attitude control, trajectory constraints and boundary conditions are used as constraints to reduce the radar detection probability and reduce the flight time as the objective function. Using Gaussian Pseudospectral Method (GPM), the continuous optimal control problem is transformed into a discrete nonlinear programming problem. The simulation results show that the method proposed in this paper solves the problem of low detectability 3D trajectory optimization in single-base radar and bistatic radar detection environment, and effectively reduces the probability of radar detection and exposure time during flight.