Sufficient stability condition for delayed Port-Hamiltonian systems subject to input saturation

Said Aoues (1) , Damien Eberard (1) , Warodi Lombardi (2) , Alexandre Seuret (3)

1 MIS - Ampère, Département Méthodes pour l'Ingénierie des Systèmes
2 CEA-LETI - Commissariat à l'énergie atomique et aux énergies alternatives - Laboratoire d'Electronique et de Technologie de l'Information
3 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

This work deals with a class of delayed port-Hamiltonian systems with control law given as a bounded output feedback. A sufficient stability condition of the resulting closed-loop dynamics is obtained combining Wirtinger-based integral inequality and Lyapunov-Krasovkii theorem. This condition is formulated in terms of (parametrized) linear matrix inequality. A numerical example shows reduction of the conservatism regarding literature result.

Mots clés: Stability of nonlinear systems; Lyapunov methods; H2/H-infinity methods

Domaines: Automatique / Robotique

Said Aoues, Damien Eberard, Warodi Lombardi, Alexandre Seuret. Sufficient stability condition for delayed Port-Hamiltonian systems subject to input saturation. ECC, Jun 2018, Limassol, Cyprus. ⟨hal-01920513⟩