The H-infinity method is used to augment the lateral stability of Boeing 747-100 flight at Mach numbers and altitudes of (0.2, sea-level), (0.5, 6096 m), and (0.9, 12192 m). The aim is to attenuate the lateral-directional states' perturbations coupling with the aileron and rudder. The method is synthesized with the artificial bee colony algorithm to ensure a robust quadratic performance under moderate sideslip and bankroll disturbances based on the mixed H-infinity sensitivity criteria. Such an optimizer effectively weighs the design gain matrices for at least a degree of freedom higher than without it. Stable eigenvalues and steady-state responses are reached for the step states. The controller appropriately tracks reference side velocity, roll rate and yaw rate and effectively compensates for sideslip and bankroll disturbances. Despite the transient peaks for the roll and yaw rates, level convergences are obtained for the other states. Dutch roll mode meets flying qualities of airworthiness requirements, whereas roll and spiral modes slightly diverge nearby the landing conditions. The H-infinity and artificial bee colony synthesis were well performed for bankroll and sideslip references of small to moderate perturbations. A high-fidelity optimizer may be considered for a severe level of disturbance and transitory behaviour.