The paper studies an automatic control system for parallel parking of wheeled vehicles in a system of robotic transport complexes. The system uses a predictive controller module with a trajectory planner and a module for measuring the current curvature. The module forms the planned path as an array of curvature values in the parking zone, receives data on the predicted horizon from a video camera, and receives the result of the movement from a trajectory curvature sensor. Curvature sensor uses microwave Doppler sensors to measure the speeds of the rear wheels of the transport platform.