Integrated Analysis of Coarse-Grained Guidance for Traffic Flow Stability

• DOI: 10.48550/arxiv.2301.04043
• Publication Date: 2023-01-01
• Authors: Sirui Li; Roy Dong; Cathy Wu
• Keywords: 11. Sustainability; 0211 other engineering and technologies; FOS: Electrical engineering, electronic engineering, information engineering; 02 engineering and technology; Systems and Control (eess.SY); Electrical Engineering and Systems Science - Systems and Control

Autonomous vehicles (AVs) enable more efficient and sustainable transportation systems. Ample studies have shown that controlling a small fraction of AVs can smooth traffic flow mitigate congestion. However, deploying in real-world systems poses challenges due to safety cost concerns. A viable alternative approach be implemented the near future is $\textit{coarse-grained guidance}$, where human drivers are guided by real-time instructions, updated every $\Delta$ seconds, stabilize traffic. While previous theoretical consider stability analysis for continuous AV control, this article presents first integrated directly relates guidance provided outcome. Casting problem into Lyapunov framework, study derives sufficient conditions coarse-grained with hold length system, provides extensions incorporate additional driving behaviors such as magnitude error reaction delay. Numerical simulations reveal closely matches simulated results. The further offers insights relationship between system parameter criteria, leveraged design improved controllers greater maximum length.