Subway Train Motion Modeling and the Event-based Optimal Control

The optimization of subway train´s operation time is an important problem to train´s schedule. After a detail analysis of the forces in the train operation, the mathematic motion models is introduced, the event-based control technology is adopted to solve the optimal control of train, taking the traveled distance of the train as the action reference variable, the functions of velocity and acceleration of time t are transferred into the functions of action reference, the train operation can be scheduled according to the traveled distance in real-time. It can shorten the delay of the operation time caused by some uncertain events and the waiting time of the passenger, and offers a new way to the metro control