PDE Traffic Observer Validated on Freeway Data

This article develops a boundary observer for the estimation of congested freeway traffic states based on Aw-Rascle-Zhang (ARZ) partial differential equations (PDEs) model. Traffic state refers to acquisition information from partially observed data. problem is relevant due its limited accessibility real-time information. We propose model-driven approach in which aggregated segment obtained simply measurement flow and velocity without knowledge initial states. The macroscopic dynamics represented by ARZ model, 2 ×2 coupled nonlinear hyperbolic PDEs density velocity. Using PDE backstepping method, we construct consisting copy plant with output injections errors. exponential stability error system L 2 norm finite-time convergence zero guaranteed. Numerical simulation data validation are conducted validate design vehicle trajectory