Observability-Enhancement Optimal Guidance Law

Abstract

This paper proposes a new optimal guidance law to enhance target observability for passive guidance with bearing-only measurement. A performance index that considers terminal miss distance, control effort and target observability criterion in an integrated manner is proposed first. The proposed guidance law is then derived analytically by solving the optimization problem formulated. Under certain conditions, it is proved that the guidance law developed gradually switches from retro proportional navigation guidance to classical proportional navigation guidance as time goes. The closed-form solutions of zero-effort-miss and guidance command are also derived to provide better insights of the proposed guidance law. Nonlinear numerical simulations are conducted to support the analytical findings.