基于模型预测Stackelberg主从博弈的导弹制导律  

A Model Predictive Stackelberg Solution to Missile Guidance Problems

作　　者：杜林泽 周聪 李超勇 DU Linze;ZHOU Cong;LI Chaoyong(College of Electrical Engineering,Zhejiang University,Hangzhou 310027,China)

机构地区：[1]浙江大学电气工程学院,杭州310027

出　　处：《南京航空航天大学学报(自然科学版)》2025年第1期176-185,共10页Journal of Nanjing University of Aeronautics & Astronautics

基　　金：国家自然科学基金(12372050,U2441205)。

摘　　要：随着战术目标智能化水平和机动能力的提高,传统的以比例导引律为代表的开环制导策略已难以满足未来高机动强博弈拦截对抗的战术需求。本文基于模型预测和Stackelberg主从博弈思想,将制导对抗问题转换为博弈优化问题,从而将最优制导指令的生成变成博弈平衡点的快速搜索问题,并引入有效集法,兼容弹目非线性动力学模型和过程约束,可以保证博弈均衡点的有限次可达,从而保证了指令的实时性。仿真结果表明,与传统制导律相比,本制导律能显著提高在强博弈场景下的拦截精度与成功率。With the continuous enhancement of intelligence and maneuverability of tactical targets,traditional open-loop guidance strategies represented by the proportional navigation guidance law could hardly meet the tactical demands of the future high-maneuverability and intensive game competitive interception confrontations.This paper,based on model predictive control and Stackelberg game theory,transforms the guidance confrontation problem into a game optimization problem,thereby turning the generation of optimal guidance commands into a rapid search for the game equilibrium point.Further,it introduces an active⁃set method,which is compatible with the nonlinear dynamics of the missile⁃target model and process constraints.This ensures that the game equilibrium point is reachable in a finite number of steps and guarantees the timeliness of the commands.Simulation results show that compared to traditional guidance laws,this guidance law can significantly improve the interception accuracy and success rates in intensive game competitive scenarios.

关 键 词：模型预测控制 STACKELBERG博弈 有效集 计算博弈 末制导律 

分 类 号：TJ765.3[兵器科学与技术—武器系统与运用工程]