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Non-Constant Gradient

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

Abstract

In this chapter we use the fuel-consumption model to formulate the train control problem on non-level track. Once again, an optimal strategy no longer exists. That is, there is no feasible strategy that minimises fuel consumption. We will show that for a given sequence of control settings, there exist optimal switching points that define a strategy of optimal type. This strategy minimises fuel consumption for the given control sequence. We find key equations that define necessary conditions for a strategy of optimal type, and present an algorithm for solution of these equations. On non-steep track an approximate speed-holding strategy is best. On steep track, speed-holding may be disrupted by segments of maximum power around steep inclines, or by segments of coasting around steep declines.

Keywords

Fuel Consumption Critical Speed Switching Point Speed Profile Optimal Type 
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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