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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/AACC949F-108B-41AC-BBE2-04D8CD39D339 | ||
| Year | 2020 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | N. Bekiaris-Liberis and A. Delis, "PDE-based feedback control of freeway traffic flow via time-gap manipulation of ACC-equipped vehicles," IEEE Trans. Control Syst. Technol., pp. 1-9, in press, 2020. doi: 10.1109/TCST.2020.2974148 https://doi.org/10.1109/TCST.2020.2974148 | ||
| 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 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.
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