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.
No takes yet. Share an insight, caveat, or question.
Matthias Gerdts (2006) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: