Connected and Automated Vehicles (CAVs) forming platoons have shown significant potential in enhancing traffic flow. This paper proposes a cooperative platoon control model using MPC integrated with the CTG spacing policy to improve both platoon stability and overall traffic performance. This integration offers greater flexibility and practicality compared to the CS-based model. Additionally, the control model includes a safety constraint with high flexibility to prevent collisions. We numerically analyse the asymptotic stability of the proposed control model to address its mathematical complexity. A wide range of parameter configurations and weight assignment schemes were tested to provide rigorous proof of the model's asymptotic stability. Numerical experiments show that the CTG-based model offers better stability than the CS-based model, though it leads to larger spacings at higher vehicle speeds. Moreover, traffic simulation results demonstrate that the CTG-based model outperforms the CS-based model in mitigating traffic oscillations and reducing congestion.
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