arXiv:2604.03371cs.RO2026-04

用神经网络快速选出最优制导增益,让飞行器精准按角度逼近目标。

Surrogate Model-Based Near-Optimal Gain Selection for Approach-Angle-Constrained Two-Phase Pure Proportional Navigation

  • 构建神经网络代理模型,学习初始与终点几何关系到最优增益的非线性映射。
  • 仿真显示预测增益精度高,决定系数接近0.9,接近理论最优。
  • 适合需要高精度制导且对实时性要求高的飞行器自主导航场景。

在制导领域,纯比例导引(PPN)广泛应用于气动驱动飞行器。两阶段扩展的PPN(2pPPN)通过在姿态调整阶段和末段采用不同导航增益,可实现半空间内任意期望的接近角。最新研究表明,姿态阶段存在多条可行轨迹,为选择最小化整体制导代价的增益提供了可能。本文研究给定初始与终端交战几何条件下的近似最优增益选择问题,包含两个优化目标:一是针对指定末段增益,确定最优姿态段增益;二是同时优化两阶段增益组合以最小化总制导努力。解析求解任意交战条件下最优增益不可行。数值仿真表明,最优增益随交战条件平滑变化。基于此特性,本文提出基于神经网络(NN)的回归模型,学习最优增益与初始及期望终端交战几何之间的非线性映射。训练后的NN作为计算高效的代理模型,用于生成最优增益流形,实现2pPPN制导的近似最优。数值仿真验证了该架构能高精度预测最优增益,决定系数达0.9以上。

原文摘要 · Abstract (English)

In guidance literature, Pure Proportional Navigation (PPN) guidance is widely used for aerodynamically driven vehicles. A two-phase extension of PPN (2pPPN), which uses different navigation gains for an orientation phase and a final phase, has been presented to achieve any desired approach angle within an angular half-space. Recent studies show that the orientation phase can be realized through multiple feasible trajectories, creating an opportunity to select navigation gains that minimize overall guidance effort. This paper addresses the problem of near-optimal gain selection for given initial and desired terminal engagement geometries. Two optimization problems are considered: i) determination of the optimal orientation-phase gain for a specified final-phase gain, and ii) simultaneously determining the optimal gain pair for both phases that minimizes the total guidance effort. Determining the optimal gains analytically for arbitrary engagement geometries is intractable. Numerical simulations further reveal that these optimal gains vary smoothly with respect to the engagement conditions. Exploiting this property, a neural network (NN)-based regression model is developed in this paper to learn the nonlinear mapping between optimal gains and initial and desired terminal engagement geometries. The trained NN serves as a computationally efficient surrogate for generating the optimal gains manifold, enabling near-optimal realization of 2pPPN guidance. Numerical simulation studies demonstrate that the developed NN-based architecture predicts optimal gains with high accuracy, achieving very high (close to 0.9) value of coefficient of determination.

制导算法神经网络最优控制

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