2018/12/19 by Nikolaos Bekiaris‐Liberis, Bekiaris-Liberis, Nikolaos, Delis, Argiris I. · 1 citation
Engineering · Social Sciences · #FOS: Mathematics #Optimization and Control (math.OC) #Traffic Prediction and Management Techniques #Traffic control and management #Transportation Planning and Optimization
paper · pdf · doi:10.48550/arxiv.1812.08154
openalex publication_date 2018/12/19 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28
We develop a control design for stabilization of traffic flow in congested\nregime, based on an Aw-Rascle-Zhang-type (ARZ-type) Partial Differential\nEquation (PDE) model, for traffic consisting of both ACC-equipped (Adaptive\nCruise Control-equipped) and manual vehicles. The control input is the value of\nthe time-gap setting of ACC-equipped and connected vehicles, which gives rise\nto a problem of control of a 2x2 nonlinear system of first-order hyperbolic\nPDEs with in-domain actuation. The feedback law is designed in order to\nstabilize the linearized system, around a uniform, congested equilibrium\nprofile. Stability of the closed-loop system under the developed control law is\nshown constructing a Lyapunov functional. Convective stability is also proved\nadopting an input-output approach. The performance improvement of the\nclosed-loop system under the proposed strategy is illustrated in simulation,\nalso employing four different metrics, which quantify the performance in terms\nof fuel consumption, total travel time, and comfort.\n