Determination of Optimal Driving Strategies

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

Abstract

In this chapter the Pontryagin Principle will be used to find the nature of the optimal strategy for the mechanical energy model with the cost functional
$$J(u,\,v)\, = \,\int\limits_O^T {p\,[u(t)]\,q\,[v(t)]\,dt}$$
when the function p : ℜ → ℜ is piecewise linear. Using the adjoint differential equation and the Hamiltonian function, we show that the optimal strategy uses piecewise constant acceleration, and that only certain distinct values of u should be used. Furthermore, the acceleration decreases as the journey progresses. Using this information to reformulate the problem we find key equations that determine the precise speeds at which the acceleration should be changed. The results are illustrated with an example that highlights some deficiencies in the mechanical energy model.

Keywords

Radon 

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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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