A method for providing instructions for controlling vehicle, the method comprising: predicting a near-future driving path for the vehicle using sensor data received from environmental sensors of the vehicle. Retrieving at least one acceptable spatial deviation value indicative of the acceptable deviation from the predicted driving path. Determining a limit velocity value or a longitudinal deceleration value based on predetermined relations between spatial deviations from the near-future driving path and vehicle motion parameters and corresponding error values. The limit velocity value and the longitudinal deceleration value are determined with the constraint that the acceptable spatial deviation is not violated along the predicted driving path. Providing an instruction signal comprising an instruction for the vehicle to travel below the limit velocity value, or comprising an instruction to decelerate according to the longitudinal deceleration value in the event of a safe stop procedure.