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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。
In order to solve the three-dimensional maneuvering target interception problem, a new design method based on covariance is proposed. First of all, the idea of covariance-based control system design is expounded. Then, based on the idea of indirectly controlling the amount of miss distance by controlling the relative speed of tangential direction, the maneuver of the target is taken as the disturbance, the tangential relative velocity mean and the covariance are used as the performance indexes, and a Riccati equation with the guidance law parameters is constructed. Can guarantee the asymptotic stability of the mean tangential relative velocity and the covariance, and solve the equation to obtain the parameters of the guidance law expression. Mathematical simulation shows that the design guidance law can guarantee a smaller miss distance when intercepting maneuvering targets, and has good robustness and adaptability.