Optimization of dynamical systems with time-varing or input-varying delays

Charles-Henri Clerget (1, 2) , Jean-Philippe Grimaldi (2) , Mèriam Chèbre (3) , Nicolas Petit (1)

1 CAS - Centre Automatique et Systèmes
2 TOTAL Refining and Chemical
3 Advanced Process Control Department

We study the optimization of dynamical systems exhibiting variable time delays. We consider time-varying delays, and delays implicitly defined by input variables as they appear in systems involving fluid transport phenomena. We establish the necessary optimality conditions. Simulations results are presented.

Mots clés: optimal control; variable time delays; fluid transport processes; process control

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

Charles-Henri Clerget, Jean-Philippe Grimaldi, Mèriam Chèbre, Nicolas Petit. Optimization of dynamical systems with time-varing or input-varying delays. 55th IEEE Conference on Decision and Control 2016, Dec 2016, Las Vegas, United States. ⟨hal-01444095⟩