Differential Game Guidance Law for Intercepting Hypersonic Vehicle
A differential games guidance law is proposed for the difficulty of intercept of hypersonic vehicle.Firstly,the model of air confrontation is established between friend and foe in three-dimensional space and the optimal performance indexes are proposed.The optimal strategies are resolved according to Riccati Equa-tion updated in real-time that is based on state-dependent coefficient.In order to solve Riccati Equation,more accurate Schur method and approximate calculation that has but faster θ-D method are applied to obtaining two kinds of differential games guidance law.In the operational scenario of high speed serpentine maneuve-ring flight target,traditional proportional guidance and differential games guidance law are analyzed by u-sing the simulation results.Compared with the performance,a conclusion is drawn that in face of high speed maneuvering target,the effect of differential games guidance law is superior to proportional guidance.