Based upon the classical car-following theory, an extended car-following model considering variable safety distance (VSD) and time-delay effect is constructed to improve driving efficiency and safety. Considering multiple preceding cars' speed differences and the difference between headway and safety distance, a new control signal is designed from the viewpoint of multiple information feedback control strategy. Stability criterion for the modified model is acquired by applying control theory. Several numerical simulations are used to show the effects of multiple preceding cars' speed changes and variable safety distance on car-following phenomena, and the outcomes prove that the presented model can enhance traffic safety and suppress traffic jams.