Modal truncation for linear Hamiltonian systems : a physical energy approach

Benjamin Mourllion (1) , Abderazik Birouche (1)

1 MIPS - Modélisation, Intelligence, Processus et Système

This paper proposes a new criterion to select the eigenmodes to be left out in a modal truncation procedure. This criterion takes account of the dynamics of the system, on the one hand, and the input/output matrices of the system, on the other. Therefore, this approach is satisfactory from a system and control theory point of view. Moreover, this criterion is physically meaningful because its computation is directly linked with the physical energy supplied to each eigenmode.

Mots clés: Modal Analysis; Model Order Reduction; Hamiltonian system; H1-norm

Domaines: Automatique / Robotique

Benjamin Mourllion, Abderazik Birouche. Modal truncation for linear Hamiltonian systems : a physical energy approach. Dynamical Systems, 2013, 28 (Issue 2), pp.187-202 (Article). ⟨10.1080/14689367.2013.777397⟩. ⟨hal-00982544⟩