Solution of Optimal Control Problems by Hybridization

Optimization problems for hybrid systems have attracted a lot of attention in recent years. This interest stimulated numerous scientific works and the development of tools to study optimal trajectories, such as necessary conditions. The idea of the present contribution is to use such results for hybrid systems to construct a Hybridization of an optimal control problem. The approximation via a hybrid system was already considered in the literature, but using different methods. Our procedure gives an efficient approximation, i.e. in many cases more efficient than standard discretization.