Homing guidance law for reducing sensitivity on heading error

Abstract

In this paper, a new homing guidance is developed to reduce sensitivity to initial heading error at the beginning of the terminal guidance phase. In order to reshape the control input alleviating the sensitivity, a new per- formance index is proposed by introducing distribution functions to the input weighting. The distribution functions are expressed in terms of sec- ond order polynomials of time-to-go, so that it is possible to distribute the input weighting over the ight. Then, a homing guidance law is derived by applying the LQ optimal control theory to the guidance problem with the new performance index. Whilst the navigation gain is constant in the general PN guidance, the proposed guidance laws have time varying gains to ease the sensitivity to the initial heading error. The performance of the proposed guidance algorithms are verified by the mathematical analysis and various numerical examples.