Research On Differential Game Guidance Law Under Uncertain Confrontation Environment

Designing an effective guidance law is an important way to improve the guidance accuracy.With the increasing complexity of the air combat environment,the missile interception guidance problem is also facing severe challenges.How to design an effective guidance law to adapt the interceptor missile to the uncertain antagonistic environment and to successfully intercept enemy missiles have become the key to solving this problem.This paper takes the interception of enemy missiles in the final guidance stage as the research background,and strives to establish a missile guidance model based on differential game in the uncertain antagonistic environment,and studies its solution to obtain the optimal guidance law.The main research content is divided into the following four aspects:Firstly,the guidance process under the influence of no uncertain factors is modeled and solved.After a comprehensive analysis of the various methods of dealing with the terminal guidance problem,it was determined that the differential game method was used to carry out the research and the whole research process was sorted out.Therefore,In this paper,the state equation based on the kinematics model of the air interceptor missile and the attack missile is obtained first,and then analyze the relevant constraints and optimization objectives from the practical application(where the end miss distance is the most important optimization target,saving energy is minor),thus this paper establishes the mathematical programming model,that is,the basic model of missile guidance based on differential game,and finally transforming the state equation to obtain the optimal intercepting guidance law of the basic model.Secondly,the uncertain antagonistic environment in the guidance process is studied.After analyzing the uncertain factors,it is divided into two categories: static uncertain factors and dynamic uncertain factors.The basic meanings and treatment methods are introduced in detail,and then the uncertain factors are quantitatively reflected in the basic model of guidance.In the paper,the influence of uncertain factors on the model solution is discussed.Thirdly,the differential game guidance model in uncertain antagonistic environment is constructed and the guidance law is designed.The basic model and the uncertain factors are integrated to construct the final model of the paper.Then,the paper analyzes the solution,considers its robust stability,and discusses the differences and connections between the guidance law under uncertain factors and the guidance law for basic guidance model.After that,the guidance law is designed.Finally,the effectiveness and superiority of the designed guidance law are verified by experiment and simulation.This paper uses MATLAB programming to simulate,sets parameters,simulates the interception scene in the air,and then designs a scheme to show the interception effect of our missiles when the enemy adopts different guidance laws and we adopt the same guidance law,and that when the enemy adopts the same guidance law and we adopt the guidance laws solved in different cases in this paper.The simulation results are analyzed in detail,and the effectiveness and superiority of the designed guidance law are illustrated.