Research On Multi-missile Collaborative Guidance Law Based On Finite Time Theory

With the continuous development of missile defense systems in various countries,missile penetration is facing unprecedented challenges.Even if the missile improves its performance,it is difficult to break through the defense system and hit the target.Missile cooperative guidance is the most effective means to break through this dilemma.Therefore,researching the cooperative guidance law is a very important and far-reaching strategic task.At the same time,the study of synergistic issues requires that the state quantities of the control missiles tend to be consistent before the end of the guidance.The guidance law designed with finite time theory has fast convergence and robustness,and this good performance is very suitable for cooperative guidance.Therefore,it is necessary and practical to design a cooperative guidance law based on finite time theory.In this paper,the missile cooperative attack is similar to the ship target and target group as the background,and the multi-missile cooperative guidance law based on finite time control theory is studied.This paper begins with the study of the finite-time guidance law of single missiles,applies the finite-time stability theory of nonlinear systems,and proposes a sufficient condition to ensure that the line-of-sight angular rate of the system converges to zero in a finite time.A guidance law that converges the line-of-sight rate to zero or zero boundary layers.According to actual needs,the guidance law is extended to three-dimensional space,and the finite-time convergence guidance law of three-dimensional space is designed.The guidance law has fast convergence and high robustness while ensuring high guidance precision by selecting reasonable guidance law parameters.Secondly,the problem of time synergy guidance is studied.In order to achieve the effect of the missile volley attack target,the expected attack time synergistic guidance law is designed.The guidance law needs to set an attack time before launching,and each missile independently completes the strike mission according to the specified attack time.Although this kind of guidance law can achieve time coordination,there is no connection between the missiles,so the anti-interference is not strong.If one missile has problems,other missiles cannot respond.Therefore,a finite-time convergence cooperative guidance law is designed,which is a distributed cooperative guidance law.For the drawbacks of the attack time cooperative guidance law,the ability to exchange mutual information can be exchanged between the introduction of communication matrix missiles,thereby improving the anti-interference ability.The application of finite time stability theory in the design process of guidance law can make the missile line-of-sight angular rate and relative line-of-sight angle error converge to zero in a finite time,so that the relative distance and radial velocity reach the same in a finite time,and the relative distance can converge.To zero.The finite convergence cooperative guidance law has fast convergence and requires less overload and has certain achievability.Finally,the problem of missile multi-target cooperative attack is studied.Target allocation is at the heart of solving multi-objective coordination problems.A reasonable target allocation model is established by selecting appropriate target allocation criteria and performance cost functions.The genetic algorithm is used to obtain the target allocation result.Through the simulation results,it is found that the multi-objective collaborative attack problem can be divided into two parts: one-to-one guidance and many-to-one collaborative guidance.Therefore,combined with the finite time convergence guidance law and the cooperative guidance law,combined with the target allocation algorithm,the multi-target missile finite time convergence cooperative guidance law is designed.The guidance law has good performance and has certain achievability.