Guidance With Constrained Impact Angle Against Moving Target Using Bias Proportional Guidance Law

Abstract

A bias proportional guidance law with constrained impact angle was proposed,which was used to attack moving target. According to the relative motion of missile and target,the moving target was considered as a stationary virtual target. The actual guidance instruction can be transformed into virtual guidance instruction,namely the design problem of the relative flight path angle rate. Based on the relative relation,the instantaneous variation and small angle hypothesis was used to deduce the bias instruction item. The relative flight-trajectory-angle rate is proportional to the LOS angle and contains an additional bias item,and the constraint control for the actual trajectory angle can be indirectly realized by controlling relative flight-trajectory-angle. Due to the time-to-go required for the guidance scheme,a time-to-go estimation method for moving targets was derived considering proportional and bias terms. The simulation results show that the moving target can be omnidirectionally striked by the guidance law,and the guidance law has good performance.