A Game Guidance Law Based on Model Predictive Control

Attacking mobile and intelligent target is a challenging problem for interceptor missile because of the classical guidance law of missile will lead to large miss distances. Unlike traditional guidance law, this paper proposes a game guidance law method based on model predictive control theory in order to improve the interception effect of intercepting missile striking unknown maneuvering penetration target. Firstly, the pursuit-evasion game model of missile and target is constructed in a two-dimensional plane, and the payoff function is constructed based on the terminal miss distance and control energy consumption. The Nash equilibrium solution of the pursuit-evasion game model is solved by using the model predictive control method, and the corresponding optimal strategies of missile and target during the attacking process are obtained. At last, a two-dimensional simulation is carried to validate the theoretical analysis. The result shows that the game guidance law proposed in this paper is more effective than traditional guidance law.