Sn. Ghawghawe et D. Ghose, PURE PROPORTIONAL NAVIGATION AGAINST TIME-VARYING TARGET MANEUVERS, IEEE transactions on aerospace and electronic systems, 32(4), 1996, pp. 1336-1347
Capturability of the pure proportional navigation (PPN) guidance law a
gainst a target executing bounded piecewise continuous time-varying ma
neuvers is investigated A qualitative analysis is carried out to obtai
n a set of sufficient conditions for capture defined on the engagement
parameters and initial conditions. These conditions are significantly
less restrictive than the ones obtained previously by others using th
e Liapunov method. It is shown that the actual capture region for time
-varying target maneuvers, obtained by using the conditions derived in
this work, is much larger than that obtained from the Liapunov techni
que. We also show that though a bounded time-varying target maneuver d
oes change the constant target maneuver capture region to some extent,
it does not reduce it drastically. Further, we show that the worst ca
se capture region is obtained when the target executes a constant mane
uver equal to the bound on the maneuver level. Some bounds on the miss
ile lateral acceleration are also obtained for certain regions in the
engagement plane. These results are generalizations and extensions of
existing results on the capturability of the PPN guidance law against
targets executing constant or time-varying target maneuvers.