The main result in optimal control theory is undoubtedly the Pontryagin’s maximum principle
which provides necessary optimality conditions lifting the optimal state trajectory to the contangent
space introducing a covector. In this mini-symposium we propose to present new developments of
necessary optimality conditions i) for optimal control problems with parameters with applications to
problems involving a bi-level structure, ii) for optimal control problems mixing permanent and nonpermanent
controls in relation with hybrid optimal control. We also propose to present industrial
applications where the resolution of the necessary conditions given by the Pontryagin’s maximum
principle is a challenging task and leads to the development of new algorithmic techniques. Two
applications are presented: i) low-thrust satellite collision avoidance, ii) the hybrid electric vehicle
torque split and gear shift problem.
Mini symposium organizer:
Olivier Cots (Institut de Recherche en Informatique de Toulouse, UMR CNRS 5505, Université de Toulouse, INP-ENSEEIHT)
Session 6. Room A3, Friday 09:00-11:00.
Chair: Olivier Cots (Institut de Recherche en Informatique de Toulouse, UMR CNRS 5505, Université de Toulouse, INP-ENSEEIHT)
Speakers:
Abdallah Abdel Wahab (LMBA UBO) Optimal control problems with parameters and applications
Anas Bouali (Avignon Université) Loss control regions in optimal control problems
Frank de Veld (Inria Sophia Antipolis) Low-thrust satellite collision avoidance as a minimum-time problem for optimal control
Rémy Dutto (Vitesco Technologies / IRIT / IMT) Geometric preconditioner for indirect shooting and application to hybrid vehicle