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The Train Control Problem

  • Philip G. Howlett
  • Peter J. Pudney
Part of the Advances in Industrial Control book series (AIC)

Abstract

In 1977–78 Milroy [1] considered the problem of driving a train from one station to the next along a level track within a given allowable time in such a way that energy consumption is minimised. He used the energy flows in the traction and braking systems of the train to derive state variable equations with time as the independent variable and position and speed as the dependent state variables. He used an heuristic application of the Pontryagin Principle to conclude that the optimal driving strategy consisted of a maximum acceleration-coast-brake control sequence. Subsequent studies confirmed the optimality of this control sequence for short journeys, and showed that a speed-hold phase should be included on longer journeys.

Keywords

Speed Profile Train Control Driving Advice Level Track Pontryagin Principle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 1995

Authors and Affiliations

  • Philip G. Howlett
    • 1
  • Peter J. Pudney
    • 1
  1. 1.Scheduling and Control Group School of MathematicsUniversity of South Australia The Levels CampusPoorakaAustralia

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