Nash-equilibrium strategies of orbital TargetAttacker-Defender game with a non-maneuvering target  

作　　者：Yifeng LI Xi LIANG Zhaohui DANG 

机构地区：[1]School of Astronautics,Northwestern Polytechnical University,Xi’an 710072,China [2]Beijing Institute of Astronautical Systems Engineering,Beijing 100076,China

出　　处：《Chinese Journal of Aeronautics》2024年第10期365-379,共15页中国航空学报（英文版）

基　　金：Supported by the National Key R&D Program of China:Gravitational Wave Detection Project(Nos.2021YFC22026,2021YFC2202601,and 2021YFC2202603);the National Natural Science Foundation of China(No.12172288).

摘　　要：This study investigates the orbital Target-Attacker-Defender(TAD)game problem in the context of space missions.In this game,the Attacker and the Defender compete for a Target that is unable to maneuver due to its original mission constraints.This paper establishes three TAD game models based on the thrust output capabilities:unconstrained thrust output,thrust constrained by an upper bound,and fixed thrust magnitude.These models are then solved using differential game theory to obtain Nash equilibrium solutions for the game problems,and the correctness and effectiveness of the solution methods are verified through simulations.Furthermore,an analysis of the winning mechanisms of the game is conducted,identifying key factors that influence the game’s outcomes,including weight coefficients in payoffs,the maximum thrust acceleration limit,and the initial game state.Considering the unique characteristics of space missions,a specific focus is given to the analysis of the Defender’s initial states in the hovering formation and in-plane circling formation,revealing overall success patterns for defense strategies from these two formations.In summary,this study provides valuable insights into the control strategies and winning mechanisms of orbital TAD games,deepening our understanding of these games and offering practical guidance to improve success rates in real-world scenarios.

关 键 词：Target-Attacker-Defender problem Differential game TPBVP Continuous thrust Orbital game 

分 类 号：V412.41[航空宇航科学与技术—航空宇航推进理论与工程]