This study aims to reduce the rate of change in velocity of a 4-degree-of-freedom half-vehicle model, which includes two wheels and a vehicle body, by implementing a PID controller. Here, the vehicle is subjected to a sine wave with a magnitude of 0.05 m and a span of 40 m. The velocity of the car is measured as 100 kilometers per hour. The study analyzed the vehicle's vertical acceleration while maintaining a fixed speed and using a specific sine wavelength. In addition, the PID coefficients were optimized using an artificial neural network.