Study Of High-maneuvering Target Tracking And Differential Game Guidance Law Design

With the fast increasing of the warfare environment complexity,the offensive weapon which have capable of causing a large amount of damage,high maneuverability and high precision guidance,are developing rapidly.The problem of intercepting target with great maneuver has become an important issue of research.In order to intercept the high maneuvering target,it requires that the information about maneuvering target pinpoint accuracy,and the effective designed guidance strategy.In this paper,the high maneuvering target interception problem is studied.The mathematical model of target tracking and interception is studied.Firstly,the particle motion of the interceptor is established,and then several classical targets tracking model is given.After that,the observation equation of target tracking is proposed.Finally,the relative particle movement equation of missile and target is established.The algorithm of large maneuvering target tracking is studied.Based on standard Kalman Filter(KF)and Extended Kalman Filter(EKF)algorithm,we researched the interacting multiple models(IMM)filter algorithm,and the validity of the proposed method is verified by using MATLAB programming and simulation.In the view of the shortcomings of the traditional IMM,a novel interacting multiple model(Novel-IMM)algorithm is proposed,which has better tracking performance,and has the characteristics of accuracy and real time.The guidance law is designed based on differential game theory.On the base of information of the maneuvering target,an Adaptive Weighted Differential Game Guidance Law(AWDGGL),Target Maneuvering Information Based Differential Game Guidance Law(TMIBDGGL),and Differential Game Guidance Law with Impact Angle Constraint(DGGLIA)are proposed.Then,their advantages and disadvantages were analyzed by many simulations.The simulation result shown that,the validity of these designed guidance laws are verified and had good guidance performance and the practical application value.Considering the many-to-one(MTO)interception problem,the MTO cooperative guidance law(MTO-CGL)design method is studied.Firstly,the mathematical model of cooperative interception is carried out.Then,based on the finite-time Hinf control and Differential Games theory,a Cooperative Differential Games Guidance Laws(CDGGL)which acceleration command designing was through the direction of the line of sight(LOS)and to achieve the goal of cooperative interception,is proposed.By comparative analysis,the superiority performance of the designed cooperative interception guidance law is verified.Aiming at the many-to-many(MTM)interception problem,the MTM cooperative guidance law(MTM-CGL)design method is studied.The multiple missile intercept multiple target equation is established,then a suitable cost function is given,and the target assignment problem is obtained by using the genetic algorithm(GA).Based on the research of target assignment algorithm,one-to-one guidance law,and many-to-one guidance law,the MTM-CGL is proposed,the simulation result testifies the efficiency of algorithm.