Design of Dynamic Tactical Control Range in Air Combat based on Three-Party Game

Traditional combat decision information, which is calculated by assuming the target maneuver state, is no longer suitable for highly dynamic situation in modern air combat. In order to address aforementioned problem, a novel concept of dynamic tactical control range (DTCR) is proposed in this paper under the analysis of aerial confrontation mechanism. Based on differential game theory, an aerial three-party combined system of target-defender-attacker is established. Thus, the combat problem is transformed into a two-team linear differential game model between the attacker and the coalition of the defender and the target. The analytic solution of the game model provides an optimal pursuit-evasion control law (OPCL) for each of the adversarial three-party. Moreover, DTCR boundary search algorithm based on improved advance-retreat method is designed to calculate DTCR in real-time for decision application. The simulation results demonstrate that the DTCR approach is effective to improve the hit probability of the missile under aerial confrontation condition, and is reliable to support pilots with rational decision information.