A new control algorithm of a wedge brake system has been developed. The proposed control algorithm is based on the position control and current control of electronic wedge brake(EWB). The EWB control system in rear wheel has both active braking functions like ABS and ESC and convenient function such as EPB. In this paper, development of control algorithm was performed using hybrid brake system(HBS) which consists of hydraulic brake in front wheel and electronic brake in rear wheel. At first, the configuration of EWB system is explained. Next, structure of electronic control in HBS is explained. And then ABS/ESC/EPB control algorithms are shown. ABS control algorithm has wheel slip calculation, wheel error calculation, wheel slip control, position control, current control, and duty control. ESC algorithm consists of yaw error calculation, yaw moment control, wheel slip control, position control, current control, and duty control. EPB algorithm is made up of apply/release interface, auto or static/dynamic interpretation, driver interpretation, position control, current control, and duty control. To verify the feasibility of the proposed control algorithm, vehicle tests were carried out with the HBS test vehicle equipped with EWB actuators for two rear wheels as well as rig tests and HILS tests. From this research, we have obtained core technologies to develop the ABS/ESC/EPB logic of rear EWB system which can be applied to BBW system in advanced vehicles such as hybrid vehicles, fuel cell vehicles, and electrical vehicles.