A near optimal closed-loop control law for a class of aircraft/aircraft pursuit-evasion differential games

A method called dynamic modeling is used to obtain near optimal closed-loop control laws for a fixed-time pursuit-evasion differential game between two aircraft in a vertical plane. This dynamic modeling technique involves simplifying the aircraft dynamics until a closed-loop control law can be found. The closed-loop control law for the simplified game is then used as a basis for obtaining a near optimal closed-loop control law for the game with realistic aircraft dynamics. Results of two examples are presented to demonstrate the validity of this near optimal control law.