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)

journalArticle

Partial differential equation (PDE) control (EN)

Connected and automated vehicles (EN)

Aw-Rascle-Zhang (ARZ) model (EN)

Traffic flow control (EN)

ACC,Adaptive Cruise Control (EN)

Hyperbolic systems (EN)

Πολυτεχνείο Κρήτης

Ιδρυματικό Αποθετήριο Πολυτεχνείου Κρήτης

School of Electrical and Computer Engineering - Diploma Works

Microprocessor and Hardware Laboratory - Diploma Works

IEEE Transactions on Control Systems Technology (EN)

Αγγλική γλώσσα

2020

http://purl.tuc.gr/dl/dias/AACC949F-108B-41AC-BBE2-04D8CD39D339https://ieeexplore.ieee.org/document/9018188 10.1109/TCST.2020.2974148

Institute of Electrical and Electronics Engineers (EN)