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Physical Models and Control of the Train Dynamics in a Metro Line Without Junction

Résumé : We propose a traffic flow and control model for the train dynamics in a linear metro line without junction. The model takes into account time constraints such as minimum inter-station running times, minimum train dwell times at platforms, and minimum safe separation times between successive trains. Moreover, it includes a control law that sets the train dwell times at platforms based on the feedback of the train time-headways and of the passenger arrival rates at platforms. We show that the dynamic system converges to a stable stationary regime with a unique average growth rate, and derive, by numerical simulation, the traffic phases of the train dynamics. We compare the obtained traffic phases with the ones derived with an existing max-plus algebra traffic model, and derive the effect of the passenger travel demand on the train dynamics. Finally, we draw some conclusions and discuss perspectives of the proposed approach.
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Submitted on : Tuesday, September 11, 2018 - 2:18:29 PM
Last modification on : Friday, July 17, 2020 - 5:09:00 PM
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Nadir Farhi. Physical Models and Control of the Train Dynamics in a Metro Line Without Junction. IEEE Transactions on Control Systems Technology, Institute of Electrical and Electronics Engineers, 2018, 9p. ⟨10.1109/TCST.2018.2830305⟩. ⟨hal-01871931⟩



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