Procedure for the bond graph construction of an optimal control problem

Omar Mouhib (1) , Bogdan Chereji (1) , Wilfrid Marquis-Favre (1) , Daniel Thomasset (1) , Jérôme Pousin (1) , Martine Picq (2)

1 AMPERE - Ampère
2 ICJ - Institut Camille Jordan

This paper aims at providing a procedure and the proof of its effectiveness introducing an optimal control formulation into the bond graph language. The class of optimal control problems presented concerns linear time invariant MIMO systems where the integral performance index corresponds to minimising the input and dissipative energy. The procedure enables the formulation to be set up exclusively at a graphical (namely bond graph) level. The proof uses the Pontryagin principle applied to the port-Hamiltonian formulation of the system.

Mots clés: Optimal control; bond graph; Pontryagin Maximum Principle; port-hamiltonian system; bicausality

Domaines: Energie électrique

Omar Mouhib, Bogdan Chereji, Wilfrid Marquis-Favre, Daniel Thomasset, Jérôme Pousin, et al.. Procedure for the bond graph construction of an optimal control problem. International Journal of Tomography and Statistics, 2007, pp.5. ⟨hal-00358876⟩