Application of automatic differentiation to race car performance optimisation

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

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 proceeding › 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 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 language	English
Title of host publication	Automatic Differentiation of Algorithms
Subtitle of host publication	From Simulation to Optimization
Editors	G. Corliss, C. Faure, A. Griewank, U. Naumann
Publisher	Springer Nature Link
Pages	117-124
ISBN (Print)	978-0-387-95305-2
Publication status	Published - 2002

Cite this

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title = "Application of automatic differentiation to race car performance optimisation",

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 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.",

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Application of automatic differentiation to race car performance optimisation. / Christianson, B.; Casanova, D.; Sharp, R.S. et al.
Automatic Differentiation of Algorithms: From Simulation to Optimization. ed. / G. Corliss; C. Faure; A. Griewank; U. Naumann. Springer Nature Link, 2002. p. 117-124.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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T1 - Application of automatic differentiation to race car performance optimisation

AU - Christianson, B.

AU - Casanova, D.

AU - Sharp, R.S.

AU - Final, M.

AU - Symonds, P.

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BT - Automatic Differentiation of Algorithms

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A2 - Griewank, A.

A2 - Naumann, U.

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ER -

Application of automatic differentiation to race car performance optimisation

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