Preprint A193/2003
Parametric optimization of hybrid car engines

Housnaa Zidani | Bonnans, J. Frédéric | Guilbaud, Thérése | Ketfi-Cherif, Ahmed | Sagastizábal, Claudia | von Wissel, Dirk

**Keywords: **
hybrid car engines | bilevel optimization | bundle method | optimal control problem | Hamilton-Jacobi-Bellman equation

We consider the problem of optimal design of hybrid car engines which combine
thermic and electric power. The optimal configuration of the different
motors composing the hybrid system involves the choice of certain design
parameters. For a given configuration, the goal is to minimize the fuel
consumption along a trajectory given by an optimal control problem with one
state variable.
The simultaneous optimization of design parameters and trajectories can be
formulated as a bilevel optimization problem. The lower level computes
the optimal control for a given architecture. The higher level seeks for
the optimal design parameters by solving a
nonconvex nonsmooth optimization problem with a bundle method.