Research On The Evasive Strategy Of Exo-atmospheric Ballistic Missile Based On The Theory Of Differential Games

The future of the war is basically a high technology content of the local war,improving the accuracy of the remote hit is particularly important,and in which the target is to achieve such a long-range target is ballistic missile.Ballistic missile has the ability to determine the outcome of a war.So it is urgent to improve the survival of ballistic missile.The core interception weapon of NMD is EKV,how to avoid the enemy interception is needed to study systematically and deeply,and the penetration strategy of the warhead is the focus of the study.At the same time,the differential games are especially suitable for large dynamic systems such as military confrontation.The theory of differential games applied to maneuvering penetration strategy is a hotspot in present research at home and abroad.How Exo-atmospheric ballistic missile can avoid the interceptor is the basic research background of this paper.The research of penetration strategy is based on the theory of differential games,then followed with the ballistic penetration is the ballistic regression.The main work of this paper is as follows:Firstly,the missile model of the both two sides was established.The six degree of freedom model of both offensive and defensive(interceptor and penetration missile)was established and the initial simulation parameters of both attack and defense was given.Which is the basics of the simulation of penetration.Secondly,the linear differential game model of both offensive and defensive was established,and the penetration strategy for ballistic missile was then researched.The linear differential game model of both offensive and defensive was established based on the relative movement model of both sides.The gravity was taken into account in the model.The final miss distance of the interceptor,fuel consumption of both sides were taken as the performance index.The minimax value principle was then used to obtain the differential game guidance strategy.Interceptor used the extended proportional guidance rate for intercepting.And the simulation experiment was done from three aspects of maneuver time,maneuvering duration,motor ability of penetration missile.Furthermore,Based on the kinematics model of both attack defense in pitch plane the nonlinear differential game model was established.Heading error was taken as the performance function and based on the minimax principle the maneuver strategy of penetration missile was got.Interceptor used the extended proportional guidance rate for intercepting.And the simulation experiment of attack and defense was done from four aspects of leading angle of interceptor,maneuver time,maneuvering duration,motor ability of penetration missile.Based on the simulation result,then comparing the penetration strategy of linear and nonlinear differential game.Last,the trajectory regression for penetration warhead was studied after deviation from the standard trajectory.In this paper,ballistic regression was conducted after the penetration of ballistic missile.Then the trajectory can be back to the standard trajectory before re-entry the atmosphere.