H2 optimal and frequency limited approximation methods for large-scale LTI dynamical systems

P. Vuillemin (1, 2) , Charles Poussot-Vassal (1) , D. Alazard (1)

1 ONERA - The French Aerospace Lab [Toulouse]
2 Université Fédérale Toulouse Midi-Pyrénées

Model order reduction over a bounded frequency range is more adapted than the standard H2 approximation whenever the entire frequential behaviour of the large-scale model is not needed or not accurately known. However most of the methods that enable to reduce a model on a limited frequency range are based on the use of weights. Yet their determination is often an issue for engineers. That is why, in this paper, two weight-free model approximation algorithms are proposed. They are based on recent algorithms that achieve local H2 optimal model reduction (see Gugercin (2007), Van Dooren et al. (2008) and Gugercin et al. (2008)). The proposed algorithms e ciency are validated both on a standard benchmark and on an industrial use case.

Keywords: LTI DYNAMICAL SYSTEM; MODEL REDUCTION; LARGE-SCALE APPROXIMATION

Domains: Mathematics [math]; Mathematical Physics [math-ph]

P. Vuillemin, Charles Poussot-Vassal, D. Alazard. H2 optimal and frequency limited approximation methods for large-scale LTI dynamical systems. 5th IFAC Symposium on System Structure and Control, Feb 2013, GRENOBLE, France. ⟨hal-01057946⟩