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MLD-based Optimal Control Model for Train Traffic Control

: Trains are often delayed because of the unexpected events. How to eliminate trains delay is the key function of the train traffic control system. For this problem, an optimal control model is presented in this paper based on the mixed logical dynamic and the model predicative control theory under the situation that trains operation are not disturbed seriously. The process of the train movement is studied and it is pointed out that the train movement is a hybrid dynamic system because the evolution of the train operation status is driven by the continuous part following the Newton’s laws of motion and lots of discrete events including the expected events and unexpected ones. Based on the results, the train operation model is built using the mixed logical dynamic theory without considering the junctions and assuming that the disturbances imposed on trains are not serious. Based on the train operation model, the optimal control model for train traffic control is studied using the model predictive control theory where the train operation model is used to predict the future status of trains. Finally, the simulation shows that the model’s validity and correctness.