A Hydraulic braking system is for braking a vehicle wheel according to a braking pressure control that includes a hydraulic pump driven by an electric motor for hydraulic pressure generation, an electronic control unit for the determination of at least one control error, based on a measured actual braking pressure compared with a pressure demand setpoint, which controls at least one actuator for a pressure increase and/or a pressure reduction of the actual braking pressure to adjust to the pressure demand setpoint. Furthermore, a method is provided for braking a vehicle wheel according to this braking pressure control and a related computer program product.