A longitudinal flight control law is derived that provides desirable p
recision aircraft-tracking response for small-amplitude commands and d
esirable gross acquisition response for large-amplitude commands. Dyna
mic inversion and proportional-plus-integral command compensation prov
ide precision attitude-tracking control, and time-optimal control prov
ides gross acquisition augmentation. Continuous transition between the
control modes, without control power saturation, is accomplished usin
g Lyapunov function level sets of the nominal small-amplitude closed-l
oop system. The control law directly relates design parameters to the
closed-loop characteristic equation and flying qualities transfer func
tion parameters. The control strategy is applied to an F-16 aircraft m
odel augmented with thrust vectoring. The feedback control law exhibit
s satisfactory stability and performance robustness shown through line
ar analysis and nonlinear simulation.