We report observations of stabilized traveling-wave (TW) convection in a re
gime in which the uncontrolled system exhibits repeated, erratic growth and
abrupt decay of spatially localized bursts of TW. By applying as feedback
a spatially varying Rayleigh-number profile computed from the measured conv
ection pattern, we suppress this behavior and stabilize states of unidirect
ional TW with spatially uniform amplitude on the unstable branch of the sub
critical bifurcation to convection. This allows us to measure the nonlinear
coefficients of the corresponding quintic complex Ginzburg-Landau equation
.