Vehicle Adaptive Control with Dynamic Following Algorithm

The simulation requires modeling two vehicles moving along a straight path with adaptive distance control. The rear vehicle must maintain a user-defined safe distance while synchronizing its acceleration/deceleration profile with the lead vehicle's movements. When the lead vehicle stops, the follower must brake to a complete stop while preserving the minimum safe distance threshold. For implementation, consider using a PID controller or model predictive control algorithm to calculate the follower's acceleration command based on relative distance and velocity measurements. Key functions would include: - Distance monitoring using relative position sensors - Velocity matching through acceleration control logic - Emergency braking algorithms for sudden stops The simulation output must include time-domain plots for: - Lead and follower velocity profiles - Acceleration/deceleration curves for both vehicles - Real-time distance measurement between vehicles To enhance realism, incorporate physical factors such as road friction, aerodynamic drag, and vehicle mass dynamics using equations like F_friction = μ×m×g and F_drag = 0.5×ρ×C_d×A×v². The control system should demonstrate stability during transient maneuvers while maintaining safe following distances under varying operating conditions.