2018/12/19 by Nikolaos Bekiaris-Liberis, Nikolaos Bekiaris‐Liberis, Bekiaris-Liberis, Nikolaos +2 · 1 citation
Engineering · Mathematics · Social Sciences · #FOS: Mathematics #Optimization and Control (math.OC) #Traffic Prediction and Management Techniques #Traffic control and management #Transportation Planning and Optimization #math.OC
paper · pdf · doi:10.48550/arxiv.1812.08154
Submitted to IEEE Transactions on Control Systems Technology on November 20, 2018. 8 pages
arxiv created 2018/12/19 · openalex publication_date 2018/12/19 · arxiv updated 2018/12/20 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28
We develop a control design for stabilization of traffic flow in congested regime, based on an Aw-Rascle-Zhang-type (ARZ-type) Partial Differential Equation (PDE) model, for traffic consisting of both ACC-equipped (Adaptive Cruise Control-equipped) and manual vehicles. The control input is the value of the time-gap setting of ACC-equipped and connected vehicles, which gives rise to a problem of control of a 2x2 nonlinear system of first-order hyperbolic PDEs with in-domain actuation. The feedback law is designed in order to stabilize the linearized system, around a uniform, congested equilibrium profile. Stability of the closed-loop system under the developed control law is shown constructing a Lyapunov functional. Convective stability is also proved adopting an input-output approach. The performance improvement of the closed-loop system under the proposed strategy is illustrated in simulation, also employing four different metrics, which quantify the performance in terms of fuel consumption, total travel time, and comfort.