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A variable time transformation method for mixed-integer optimal control problems

✍ Scribed by Matthias Gerdts

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
285 KB
Volume
27
Category
Article
ISSN
0143-2087

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✦ Synopsis

Abstract

The article discusses a variable time transformation method for the approximate solution of mixed‐integer non‐linear optimal control problems (MIOCP). Such optimal control problems enclose real‐valued and discrete‐valued controls. The method transforms MIOCP using a discretization into an optimal control problem with only real‐valued controls. The latter can be solved efficiently by direct shooting methods. Numerical results are obtained for a problem from automobile test‐driving that involves a discrete‐valued control for the gear shift of the car. The results are compared to those obtained by Branch&Bound and show a drastic reduction of computation time. This very good performance makes the suggested method applicable even for many discretization points. Copyright © 2006 John Wiley & Sons, Ltd.

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