Abstract
In this article, a discrete-event linear descriptor model for intersecting metro lines based on the deviations of train departure times from the nominal values is introduced. In intersecting metro lines, the delays are transmitted from one line to the other intersecting lines in transfer stations (TSs). Therefore, considering the effect of the TSs in traffic modeling leads to a more accurate model. The introduced model is an uncertain model, and we reformulate it as a linear uncertain descriptor model with additive uncertainty. A robust <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$H_{\infty }$</tex-math></inline-formula> controller is designed based on the bounded real lemma and linear matrix inequality to compensate the delays and regulate the time deviations in the presence of uncertainty. In addition to the aforementioned objective of the control system, another objective is synchronizing the trains at TSs of intersecting metro lines. The simulation results demonstrate the performance and effectiveness of the proposed automatic traffic regulation system using real data from two intersecting lines of the Tehran metro system.
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