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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/E0602DED-C49E-4092-BCC7-C8C73694B123 | ||
| Year | 2022 | ||
| Type of Item | Conference Full Paper | ||
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| Bibliographic Citation | I. Karafyllis, D. Theodosis and M. Papageorgiou, "Stability analysis of nonlinear inviscid traffic flow models of bidirectional cruise controlled vehicles," in 2022 American Control Conference (ACC), 2022, pp. 1042-1047, doi: 10.23919/ACC53348.2022.9867663. https://doi.org/10.23919/ACC53348.2022.9867663 | ||
| Appears in Collections |
The paper introduces a new bidirectional microscopic inviscid Adaptive Cruise Control (ACC) model that uses only spacing information from the preceding and following vehicles in order to select the proper control action to avoid collisions and maintain a desired speed. Class KL estimates that guarantee uniform convergence of the ACC model to the set of equilibria are provided. Moreover, the corresponding macroscopic model is derived, consisting of a conservation equation and a momentum equation that contains a nonlinear relaxation term. It is shown that, if the density is sufficiently small, then the macroscopic model has a solution that approaches exponentially the equilibrium speed (in the sup norm) while the density converges exponentially to a traveling wave.
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