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Optimization and Engineering

, Volume 5, Issue 4, pp 395–415 | Cite as

Parametric Optimization of Hybrid Car Engines

  • Joseph Frédéric Bonnans
  • Thérèse Guilbaud
  • Ahmed Ketfi-Cherif
  • Dirk von Wissel
  • Claudia Sagastizábal
  • Housnaa Zidani
Article

Abstract

We consider the problem of optimal design of hybrid car engines which combine thermal 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. This is 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.

hybrid car engines bilevel optimization nonsmooth optimization bundle method optimal control problem Hamilton-Jacobi-Bellman equation 

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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Joseph Frédéric Bonnans
    • 1
  • Thérèse Guilbaud
    • 2
  • Ahmed Ketfi-Cherif
    • 3
  • Dirk von Wissel
    • 3
  • Claudia Sagastizábal
    • 4
  • Housnaa Zidani
    • 5
  1. 1.Projet Sydoco, INRIA, B.P. 105RocquencourtFrance
  2. 2.Université Paris VIII and Cermics, ENPCMarne la Vallée Cx 2France
  3. 3.Direction de la RechercheTechnocentre RenaultGuyancourtFrance
  4. 4.IMPA, Estrada Dona CastorinaRio de Janeiro RJBrazil
  5. 5.ENSTAINRIAFrance

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