Abstract
The importance of public transport systems continues to grow. These systems must respond to an increasing demand for population mobility and traffic disturbances. Rail transport networks can be considered as Discrete Event Systems (DES) with time constraints. The time factor is a critical parameter, since it includes dates to be respected in order to avoid overlaps, delays, and collisions between trains. P-time Petri Nets have been recognized as powerful modeling and analysis tools for railway transport systems. Temporal disturbances in these systems include railway infrastructure, traffic management, and disturbances (weather, obstacles on the tracks, malice, social movement, etc.). The developments presented in this paper are devoted to the modeling and the study of the robustness of the railway transport systems in order to evaluate the stability and the efficiency of these networks. In this study two robust control strategies towards time disturbances are presented. The first one consists of compensating the disturbance as soon as it is observed in order to avoid constraints violation. The second one allows generating, by the control, a temporal lag identical to the disturbance in order to avoid the death of marks on the levels of synchronization transitions of the P-time Petri net model.
Highlights
In railway transport systems, a temporal disturbance cannot be predicted or prevented
Some definitions are quoted in order to build a theory dealing with robustness problem
The modeling and the study of the robust control strategy facing disturbances in railway transport system constitute the main contributions of this paper
Summary
A temporal disturbance cannot be predicted or prevented. Active robustness uses observed time disturbances to modify the control loop in order to satisfy these specifications. This paper deals with the modeling and the robust control facing disturbances of transportation systems. The main objective of the robust control strategy is to eliminate time perturbations on railway traffic. The first section begins the presentation of the studied railway transport system; the P-time Petri net is used as modeling tool. The second one presents two approaches for robust control These strategies aim to avoid the violation of time constraints in order to guarantee the stability and safety of railway traffic.
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