Two-phase differential game guidance scheme against active defensive aircraft in three-body engagement

This paper proposes a two-phase game guidance strategy for the three-body confrontation scenario according to the linear quadratic differential game method, which includes an Attacker, an Interceptor, and a Target. The interception probabilities between the Attacker and the Interceptor-Target team are estimated using the probability density function. The desired zero-effort miss distances associated with the interception probabilities for the three-body conflict are acquired by virtue of the gradient descent method. The game combat is divided into two phases by introducing the switching time. In Phase 1, a differential game strategy is developed to guide the zero-control miss distance between the Attacker and the Interceptor-Target into the desired position, which guarantees that the Attacker has the maximizing probability of intercepting the Target and the minimizing probability of being captured by the Interceptor. In Phase 2, a differential game guidance strategy is proposed to ensure that the Attacker evades the pursuit of the Interceptor and intercepts the Target at the preset impact angle. Finally, numerical simulation verifies the effectiveness of the two-stage game guidance strategy.