A Guidance Control Law Design based on Evolutionary Game

The problem of a flight vehicle intercepting an unknown maneuvering target is investigated. Interceptor's possible guidance laws are considered while target's limited maneuver forms are assumed. The terminal guidance is divided into several phases and system information is expressed by a few matrices. We describe the pursuit-evasion scenario as an evolutionary game process. An approach to formulation and solution of this game based on game theory and receding horizon control is performed. A switched guidance law for flight vehicle is derived by proposing proper payoff function as the performance index. Not only optimal strategy of flight vehicle, the solution of evolutionary game also provides optimal strategy of target at the same time. At last, a two dimensional simulation is performed to validate the theoretical analysis.