Application of automatic differentiation to race car performance optimisation

B. Christianson, D. Casanova, R.S. Sharp, M. Final, P. Symonds

    Research output: Chapter in Book/Report/Conference proceedingChapter


    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 too ADoptis 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.
    Original languageEnglish
    Title of host publicationAutomatic Differentiation of Algorithms
    Subtitle of host publicationFrom Simulation to Optimization
    EditorsG. Corliss, C. Faure, A. Griewank, U. Naumann
    PublisherSpringer Nature
    ISBN (Print)978-0-387-95305-2
    Publication statusPublished - 2002


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