Traffic modelling and control for metro circle lines

Abstract

Most of the metro networks are operated as loop lines: a given number of trains are operated on a closed circuit, with the consequence that the delays are cumulated from circuit to circuit. The paper deals with modelling, stability and feedback control for the traffic on such loop lines. It extends the results obtained in the rather unrealistic case of open lines. The authors develop a mathematical model and state space formulations, putting in evidence the traffic instability on loop lines, and propose state feedback traffic control laws ensuring the stability of the closed loop system. Simulation results show the benefit to be expected from an efficient traffic control.Anglai