A Solution of Missile-aircraft Pursuit-evasion Differential Games in Medium Range

This paper shows a method to obtain the exact solution for a missile and an aircraft differential games which minimizes and maximizes the essential pay-off of the problem: the miss distance, without employing any linearized approximation. For this purpose, we introduced the concept of energy maneuverability. Once the families of optimal terminal surfaces are obtained, the proposed method can solve mini-max solutions under several vehicle’s acceleration constraints. Although it is impossible to obtain the solution in real time, however, if the results are incorporated into the missile guidance system as a knowledge base, the performance will be fairly improved.