A New Stability Index for Metro Lines

Author

Berbey, A. ; Caballero, R. ; Galán, R. ; Sanz-Bobi, J.

Author_Institution

Univ. Tecnol. de Panama, Panama City, Panama

fYear

2009

fDate

26-28 Feb. 2009

Firstpage

41

Lastpage

45

Abstract

In this work a new method to analyze the stability of metro lines with respect to a previously constructed time schedule is presented. For this purpose, metro lines are modelled using a nonlinear real time discrete space state representation and then the Lyapunov-based stability analysis is applied considering time delays of trains as disturbances. As a result a new set of indexes which relate time delays with the validity of the actual time schedule when falling inside a particular dasiastability areapsila are defined. Results obtained in a simulated environment show that the new stability indexes are able to evaluate quantitatively and qualitatively the effects of saturation in metro lines as well as predict the need for rescheduling.

Keywords

Lyapunov methods; delays; discrete time systems; nonlinear control systems; nonlinear dynamical systems; rail traffic; railways; stability; state-space methods; Lyapunov-based stability analysis; metro line modelling; nonlinear dynamical system; nonlinear real time discrete space state representation; rail traffic; saturation effect; stability index; time delay; time schedule; train; Delay effects; Equations; Predictive models; Stability analysis; State-space methods; Traffic control; Lyapunov Stability; Metro lines; Planning;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical, Communications, and Computers, 2009. CONIELECOMP 2009. International Conference on

Conference_Location

Cholula, Puebla

Print_ISBN

978-0-7695-3587-6

Electronic_ISBN

978-0-7695-3587-6

Type

conf

DOI

10.1109/CONIELECOMP.2009.54

Filename

5163886