Research On Key Technologies Of Antiaircraft Fire Control For Short Range Interception Of High Speed Maneuvering Target

With the wide application of modern high-new technology in the military field,weapons are developing in the direction of high speed,modularization and intelligence.The maneuvering variables of hypersonic vehicles,fighter planes,and other highly maneuvering targets show signs of faster stronger change which makes the position of the target strongly relevant and causing greater challenges to the antiaircraft fire control for short range interception.Therefore,this paper mainly focuses on the unknown correlation coefficient of measurement noise,mismatched target tracking model,and poor real-time performance of fire control calculation in defense operations.And from the perspective of track,hit,and damage,research on related theories and key technologies such as nonlinear measurement filtering algorithm with range rate,high speed maneuvering target tracking,fire control shooting data,damage probability analysis.Based on the above theories and methods,a hardware in the loop simulation platform is constructed to verify the real-time performance of the tracking algorithm and the effectiveness of the interception method.It provide a steady base in theory and technology for antiaircraft fire control system through a series of improvement and optimization of short range interception technology.(1)Aiming at the problem of target tracking with an unknown correlation coefficient of measurement noise between the range and the range rate,an expectation maximization based sequential modified unbiased converted measurement Kalman filter is proposed.Firstly,a pseudo measurement is constructed by multiplying the range and the range rate to reduce the strong nonlinearity.The mean and covariance of converted errors are subsequently derived by modified unbiased converted measurement to weaken the error caused by the linearization of the measurement equation,which is effectively to improve the dynamic accuracy of target tracking.Then,the converted errors of the position and the pseudo measurement are decorrelated by the Cholesky factorization to facilitate the subsequent identification of correlation coefficient,and the posterior probability distribution of the state is obtained by using the sequential filtering in the Bayesian framework.Finally,the expectation maximization is introduced in the updating procedure of the pseudo measurement to jointly estimate the correlation coefficient and the target state.(2)Aiming at the problem of dynamic model mismatch caused by the target maneuvering,an algorithm of unbiased converted measurement Kalman filter based on retrospective cost input estimation is proposed.Firstly,according to the characteristics of the high speed maneuvering,the acceleration is regarded as an unknown deterministic input to construct the kinematics tracking model,and an appropriate Markov parameter is selected to reduce the dependence on input information.Then,the unknown acceleration is reconstructed by using the retrospective cost input estimation,the parameter matrix of the input estimator is updated by the recursive least square method.Finally,the estimated acceleration is introduced into the Kalman filter framework to effectively estimate the state of the hypersonic reentry glide target.Furthermore,an expectation maximization based adaptive modified unbiased minimum-variance estimation(EM-AMUMVE)algorithm is proposed to further weaken the influence of measurement noise on the maneuvering acceleration estimation.The virtual maneuvering noise and first-order Markov process model are integrated to quantitatively describe the maneuvering acceleration according to the boundness of the maneuvering acceleration.and the maneuvering acceleration and state estimation are derived based on the unbiased minimum-variance criterion.Subsequently,the expectation maximization is introduced in the updating procedure of the quadratic Bayesian filter to adaptively estimate the mean and covariance of virtual maneuvering noise and thus to improve the accuracy of maneuvering acceleration estimation.(3)An antiaircraft fire control calculation method based on rigid body trajectory model is proposed for improving the versatility and real-time performance of fire control system.Firstly,the rigid body trajectory equation is introduced in the trajectory model of antiaircraft fire control system to improving the versatility and accuracy of the fire control system.Then,the target measurements are unbiasedly converted,and the noise covariance matrix is decoupled,which accurately estimates the target state and reduces the computational complexity of the filtering algorithm.Finally,The hit point is calculated by using the secant iteration method,and the firing data are corrected by the virtual miss distance in each iteration,which reduces the time of calculating the ballistic differential equation and greatly improves the speed of fire control calculation.(4)To analyze the damage probability of antiaircraft artillery directly hitting air targets,the calculation method of the antiaircraft artillery weapon system based on error transfer model is proposed.Firstly,the equivalent hit area of the air target is calculated in future point coordinates and relative velocity coordinates.Then,the projectile dispersion error,the aiming error of the servo system,the ballistic weather error,and the output error of the fire control system are decomposed and synthesized in the firing process to construct the corresponding binary normal firing error model;Finally,on the basis of the two error types of repetitive error and non-repetitive error,the damage probability of the long burst fire is approximate calculated by combining with the hit probability of a single projectile,and the influence of each error source on the firing accuracy is analyzed.(5)To present the true performance of the above methods under the antiaircraft artillery fire control system,a hardware in the loop simulation platform based on Sylix OS is constructed through the module of target route generation,radar detection,fire control calculation,trajectory simulation,artillery firing and three-dimensional animation to verify the validness and feasibility of the key technologies such as target tracking,fire control calculation,and damage evaluation.Furthermore,the simulation platform can support for the subsequent key technologies of antiaircraft artillery fire control system,and it has good practical value.