PDE-based feedback control of freeway traffic flow via time-gap manipulation of ACC-equipped vehicles
(EN)
Μπεκιαρης-Λυμπερης Νικολαος
(EL)
Δελης Αναργυρος
(EL)
Bekiaris-Liberis Nikolaos
(EN)
Delis Anargyros
(EN)
Πολυτεχνείο Κρήτης
(EL)
Technical University of Crete
(EN)
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 2 x 2 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 three different metrics, which quantify the performance in terms of fuel consumption, total travel time, and comfort.
(EN)
