南京理工大学学报（自然科学版）2026，Vol.50Issue(4)：406-419,14.DOI:10.14177/j.cnki.32-1397n.2026.50.04.004
考虑脱靶量约束的超声速导弹三维微分博弈突防制导
Three-dimensional differential game penetration guidance for supersonic missiles considering miss distance constraints
摘要
Abstract
In view of the challenges faced by boost-glide supersonic missiles,such as limited maneuverability during the terminal phase of unpowered glide and the difficulty in balancing active penetration and high-precision terminal strike under multiple interceptor cooperative encirclement,a three-dimensional differential game anti-interception guidance method for supersonic missiles considering miss distance constraints is proposed.Combined with the terminal gliding characteristics of missiles,this method adopts a decoupled framework of"vertical trajectory optimization and horizontal game-based penetration",which decomposes the three-dimensional attack-defense motion into vertical trajectory tracking with proportional navigation constrained by impact angle,and multi-player pursuit-evasion game maneuvering in the horizontal plane.Moreover,the performance index of the differential game is reconstructed,where the integral term of full-domain three-dimensional miss distance replaces the traditional terminal single-point miss distance cost to simultaneously restrict penetration survivability and terminal hit accuracy.Meanwhile,based on the design idea of adaptive dynamic programming,an actor-critic neural network is utilized to online approximate the optimal value function and game strategies,the adaptive gradient update law for network weights is derived,and the convergence of the game equilibrium solution is rigorously proven.Simulation results demonstrate that,in typical"one-to-many"combat scenarios,compared with the traditional pure proportional guidance scheme,the proposed method enables supersonic missiles to evade interception successfully and ensures high-precision target strikes after effective penetration.This method exhibits remarkable advantages in penetration performance under nonlinear,intense-confrontation and multi-interception conditions,and provides a novel and effective approach for designing anti-interception guidance laws of supersonic missiles.关键词
反拦截突防/微分博弈/脱靶量约束/自适应动态规划/弹道制导/神经网络Key words
anti-intercept penetration/differential game/miss distance constraints/adaptive dynamic programming/trajectory guidance/neural network分类
军事科技引用本文复制引用
赵日,陆宇,孙瑞胜,游勇安..考虑脱靶量约束的超声速导弹三维微分博弈突防制导[J].南京理工大学学报（自然科学版）,2026,50(4):406-419,14.基金项目
国家自然科学基金(12572403 （）
62303225) （）
