Stability analysis of delayed-feedback control effect in the continuum traffic flow of autonomous vehicles without V2I communication

In this paper, a deterministic acceleration model is developed considering the sensor detection range to capture the underlying process of car following dynamic of autonomous vehicles. A delayed-feedback control is proposed using the difference between current state of throttle angle and previous one as feedback term and incorporated into the developed deterministic acceleration model to suppress the traffic congestion and increase the stability of traffic flow without the aid of Vehicle-to-Everything (V2I) communication. The feasible ranges of control parameters that ensure smooth traffic flow is derived from the perspective of the frequency domain via Hurvitz criteria and H∞ norm of transfer functions. The impact of proposed control strategy on the stability of macroscopic traffic flow is studied. The numerical-based simulations reveal that using the delayed-feedback of throttle angle with proper designed gains and delay time improves traffic efficiency, maintains scalable for large systems of autonomous vehicles, suppress the traffic congestion effectively, and dissipate shockwaves.