The advent of autonomous driving technology has spurred interest in autonomous vehicle platooning to enhance traffic efficiency and road safety. This research conducts a comparative analysis of two prominent control techniques, Proportional-Integral-Derivative (PID) control and Linear Quadratic Regulator (LQR) control, in the context of autonomous vehicle platooning. The study aims to assess the significance of these control strategies in achieving and maintaining desired inter-vehicle distances and overall platoon coordination. The analysis considers several critical factors, including control performance, adaptability, robustness, and continuity, to comprehensively evaluate PID and LQR controllers. While PID controllers offer simplicity and ease of tuning, LQR controllers are known for their precision and optimization capabilities. The research investigates how these control methods perform in various scenarios, considering factors such as changing vehicle dynamics and external disturbances. Consequently, this research aims to assess how effective PID and LQR control systems are in achieving and maintaining desired inter-vehicle distances and overall platoon coordination.