A variable time transformation method for mixed‐integer optimal control problems | Zendy

Gerdts Matthias | Zendy

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

Author(s) -

Gerdts Matthias

Publication year - 2006

Publication title -

optimal control applications and methods

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.458

H-Index - 44

eISSN - 1099-1514

pISSN - 0143-2087

DOI - 10.1002/oca.778

Subject(s) - discretization , transformation (genetics) , integer (computer science) , optimal control , computation , variable (mathematics) , reduction (mathematics) , mathematical optimization , control variable , control (management) , mathematics , integer programming , control theory (sociology) , computer science , algorithm , mathematical analysis , artificial intelligence , biochemistry , chemistry , statistics , geometry , gene , programming language

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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