摘要
针对机动目标的三维拦截问题,提出了一种基于协方差的新型末制导律设计方法。首先阐述了基于协方差的控制系统设计的思想。然后基于通过控制切向相对速度来间接控制脱靶量的思想,将目标的机动作为干扰,以切向相对速度均值和协方差为性能指标,构造一个含有制导律参数的黎卡提方程,该方程能够保证切向相对速度均值和协方差渐近稳定,求解该方程得到制导律表达式的参数。数学仿真表明,设计制导律在拦截机动目标时能够保证较小脱靶量,具有良好的鲁棒性和适应性。
A new terminal guidance law based on covariance is proposed for missiles pursuing maneuvering targets in three-dimensional space. Firstly the control system design method based on covariance is introduced. The proposed guidance scheme is based on the method of ensuring the miss distance by controlling the tangential relative velocity indirectly. The target＇s accelerations are regarded as unpredictable disturbances. The mean and covariance of the tangential relative velocities are chosen as the performance index. A Riccatic Equation with the parameters of guidance law is constructed which guarantees the asymptotic stability of the tangential relative velocities＇ mean and covariance. The parameters are obtained by solving the Riccatic Equation. It is demonstrated by numerical simulation that the proposed guidance law guarantees smaller miss distance against maneuvering targets,and has good robustness and adaptability.
出处
《火力与指挥控制》
CSCD
北大核心
2013年第12期56-60,共5页
Fire Control & Command Control
基金
航天支撑基金资助项目(N11XW0001)
关键词
协方差
切向相对速度
末制导律
黎卡提方程
covariance, tangential relative velocities, terminal guidance law, Riccatic Equation
