Abstract: An apparatus and a method for controlling driving of a hybrid electric vehicle on a slope are disclosed. With the apparatus and the method, the hybrid electric vehicle travels on the slope in one mode selected from an engine-motor combined driving mode, an engine driving mode, and a motor driving mode according to an SOC of the battery and a degree of the slope. Accordingly, when traveling on the slope, a driving mode can be determined according to the degree of the slope and the SOC of the battery, thereby previously preventing motor torque from being abruptly increased while traveling on the slope. As a result, a travel distance of the electric motor can be increased, and the start of the internal combustion engine is minimized, thereby enhancing the fuel efficiency by reducing the fuel consumption.

Abstract: A method and system for controlling regenerative braking of a belt-driven hybrid vehicle includes detecting a battery state of charge, calculating a required charging current on the basis of the battery state of charge, calculating a theoretical regenerative braking torque on the basis of the required charging current, calculating a target regenerative braking torque by compensating the theoretical regenerative braking torque depending on a change of belt temperature, and performing regenerative braking control on the basis of the target regenerative braking torque.