This paper presents a novel predictive control structure for the wheel cylinder with switching solenoid valves, which cancels the PWM generator module used in the classic PWM-based pressure regulator. On this basis, a robust predictive pressure controller with a finite control set is developed to handle the system's unmodeled dynamics, adjust the ON/OFF states of SSVs, and track the target pressure. Firstly, considering the limited ON/OFF states of the inlet valve and outlet valves, a new discrete mathematical model of the wheel cylinder hydraulic pressure regulation system with finite available control inputs is derived for controller synthesis. Then, a discrete time extended state observer is employed to estimate the lumped disturbance and the estimated result is used to calibrate the pressure prediction model. Finally, an extended state-observer-based predictive pressure control algorithm is designed to predict the future pressure, optimize the cost function, and directly obtain the optimal ON/OFF signals of switching solenoid valves. The joint simulation results based on MATLAB and AMESim verify the effectiveness of the newly proposed robust predictive pressure control strategy.