Receding Horizon Guidance Laws with No Information on the Time-to-Go

Abstract

In this paper a modie ed optimal guidance law is proposed that does not use information on the time-to-go. The proposed receding horizon guidance law (RHG) is based on the receding horizon strategy and optimal control theory. In the presence of arbitrary target maneuvers and an initial lateral miss distance (MD) rate between the target and the missile, the proposed RHG is shown to guarantee to keep the lateral MD less than the given value, within which the warhead of the missile is detonated, from the appropriately selected time to the intercept time. Through threesimulation examples theability oftheRHGto interceptthetarget isillustrated. The performanceof theRHGiscompared with theoptimalguidancelawin termsoftheterminal MDwhen thetime-to-goisinaccurate, and in terms of the lateral MD and the missile acceleration when the time-to-go is accurate.