First-order optimal line-of-sight guidance for stationary targets

In this paper, a closed-loop optimal line-of-sight guidance law for rst-order control systems is derived for stationary targets. The problem is solved for the onedimensional case using normalized equations to obtain normalized guidance gains and performance curves. Three sets of normalized equations are introduced and discussed using dierent normalizing factors. The performances of the guidance laws are compared in normalized forms with zero-lag optimal guidance and a rst-order optimal scheme with steady-state gains using a second-order control system. Normalized miss distance analysis shows that the miss distance of the rst-order guidance law is smaller than the two mentioned schemes for small total ight times.