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Institutional Repository [SANDBOX]
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/FD17186C-3E57-4008-B282-8EC1B7550F22 | ||
| Year | 2019 | ||
| Type of Item | Conference Full Paper | ||
| License |
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| Bibliographic Citation | N. Bekiaris-Liberis and A. Delis, "Feedback control of freeway traffic flow via time-gap manipulation of ACC-equipped vehicles: a PDE-based approach," in 1st IFAC Workshop on Control of Transportation Systems, 2019. doi: 10.1016/j.ifacol.2019.08.139 https://doi.org/10.1016/j.ifacol.2019.08.139 | ||
| Appears in Collections |
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 22 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. 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.
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