Realization independent single time-delay dynamical model interpolation and H2-optimal approximation.

I. Pontes Duff Pereira (1) , Charles Poussot-Vassal (1) , C. Seren (1)

1 ONERA - The French Aerospace Lab [Toulouse]

In this paper, the realization-free model approximation problem, as stated in [1], [2], is revisited in the case where the interpolating model might be time-delay dependent. To this aim, the Loewner framework, initially settled for delay-free realization, is firstly generalized to the single delay case. Secondly, the (infinite) model approximation H2 optimality conditions are established through the use of the Lambert functions. Finally, a numerically effective iterative scheme, named dTF-IRKA, similar to the TF-IRKA [2], is proposed to reach a part of the aforementioned optimality conditions. The proposed method validity and interest are assessed on different numerical examples.

Mots clés: REDUCTION MODELE; INTERPOLATION RATIONNELLE; SYSTEME RETARD

Domaines: Physique de l'espace [physics.space-ph]

I. Pontes Duff Pereira, Charles Poussot-Vassal, C. Seren. Realization independent single time-delay dynamical model interpolation and H2-optimal approximation.. 2015 IEEE 54th Annual Conference on Decision and Control (CDC), p. 4662-4667, 2016, ⟨10.1109/CDC.2015.7402946⟩. ⟨hal-01429871⟩