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

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20161402197608
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(1) ISAE, Onera - the French Aerospace Lab, Toulouse; F-31055, France | 1600年 / Cybernet Systems; et al.; Kozo Keikaku Engineering (KKE); MathWorks; Mitsubishi Electric; Springer卷 / Institute of Electrical and Electronics Engineers Inc.期
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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 2 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. © 2015 IEEE;
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