The piston problem in a port-Hamiltonian formalism

Julien Lequeurre (1) , Marius Tucsnak (1)

1 IECL - Institut Élie Cartan de Lorraine

The aim of this paper is to write two simple fluid-structure interaction coupled systems as wellposed port-Hamiltonian systems. Moreover, we investigate the stabilization of the system Burgers/piston thanks to a very simple feedback law.

Domaines: Equations aux dérivées partielles [math.AP]

Julien Lequeurre, Marius Tucsnak. The piston problem in a port-Hamiltonian formalism. 5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2015 — Lyon, France, 4–7 July 2015, Jul 2015, Lyon, France. ⟨10.1016/j.ifacol.2015.10.241⟩. ⟨hal-01281447⟩