Application of situation function in air combat differential games

The continuous differentiable situation function is addressed and applied to the differential game of unmanned aerial vehicles. Differential game theory is an important means to solve the control problem of air combat. In order to improve the scientific nature of air combat control problem, a two-dimensional mathematical model of differential game between two unmanned aerial vehicles (UAVs) is established and solved by semi-direct method. Numerical simulations were carried out under the different maximum maneuver conditions of two sides. The results indicate that the situation function is successfully applied to the differential game, and the semi-direct method could be used to solve the air combat strategy quickly and accurately.