Linear-quadratic and norm-bounded differential game combined guidance strategy against active defense aircraft in three-player engagement
作者机构：Control and Simulation CenterHarbin Institute of TechnologyHarbin 150080China
出 版 物：《Chinese Journal of Aeronautics》 (中国航空学报（英文版）)
年 卷 期：2023年第36卷第8期
页 面：331-350页
核心收录：
学科分类：11[军事学] 1109[军事学-军事装备学]
基 金：supported by the National Natural Science Foundation of China(Nos.62273119 and 61627810)
主 题：Activedefense aircraft Acceleration Energy optimization Game theory Three-player engagement
摘 要：A new type of guidance strategy, combining linear quadratic and norm-bounded game theory, is proposed for the scenario of an attacker against active defense aircraft in three-player engagement. The problem involves three players, an attacker, a defender and a target. The differential game theory and the solution of Hamiltonian equation are utilized to obtain the combined guidance strategy for each player with arbitrary-order dynamics. The game process is divided into4 phases, C1-C4, according to the switching time. The linear quadratic differential game guidance scheme is employed to reduce the fuel cost in the game parts of C1 and C3. The norm-bounded game guidance strategy is adopted to satisfy the constraint of control input in the game stages C2 and C4. Furthermore, zero-effort miss distance is introduced to meet the constraints of game space and defender’s killing radius in the guidance strategy, which guarantees that the attacker is able to avoid the interception of the defender and hit the target with lower fuel cost and maximum acceleration. And it is proved that the proposed guidance strategy satisfies the Nash equilibrium condition. Finally, the feasibility and superiority of combined guidance strategy are respectively illustrated by nonlinear numerical simulation and verified by comparing with linear quadratic and norm-bounded differential game guidance strategies.
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