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Application of Automatic Differentiation to Race Car Performance Optimisation

  • Daniele Casanova
  • Robin S. Sharp
  • Mark Final
  • Bruce Christianson
  • Pat Symonds
Chapter

Abstract

A formal method for the evaluation of the minimum time vehicle manoeuvre is described. The problem is treated as one of optimal control and is solved using a direct transcription method. The resulting nonlinear programming problem is solved using the sequential quadratic programming algorithm SNOPT for constrained optimisation. The automatic differentiation software tool ADopt is used for the evaluation of the first-order derivatives of objective and constraint functions with respect to the control variables. The implementation of automatic differentiation is more robust and ten times as fast compared to the use of a finite difference determination of the Jacobian.

Keywords

Optimal Control Problem Sequential Quadratic Programming Nonlinear Programming Problem Automatic Differentiation Vehicle Trajectory 
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 Science+Business Media New York 2002

Authors and Affiliations

  • Daniele Casanova
  • Robin S. Sharp
  • Mark Final
  • Bruce Christianson
  • Pat Symonds

There are no affiliations available

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