How is PID control applied to vehicle lateral and longitudinal control?

PID (Proportional-Integral-Derivative) control is foundational for vehicle control. Longitudinal control: PID adjusts throttle/brake to maintain desired speed or following distance, with proportional responding to speed error, integral eliminating steady-state error, and derivative providing damping. Lateral control: PID can minimize lateral position error from target path, with steering angle as output. Challenges include non-linear vehicle dynamics, varying road conditions, and different operating regimes requiring gain scheduling. Improvements include feedforward terms (anticipating curvature), anti-windup for integral saturation, and cascaded controllers. Modern systems often use Model Predictive Control for better handling of constraints and preview information.